We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more   

AtoZmath.com
Support us
(New) All problem can be solved using search box
I want to sell my website www.AtoZmath.com with complete code
 
 
Home What's new College Algebra Games Feedback About us
Algebra Matrix & Vector Numerical Methods Statistical Methods Operation Research Word Problems Calculus Geometry Pre-Algebra
Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 51 example ( Enter your problem )
( Enter your problem )
  1. Formula
  2. Divisibility rule of 2 example
  3. Divisibility rule of 3 example
  4. Divisibility rule of 4 example
  5. Divisibility rule of 5 example
  6. Divisibility rule of 6 example
  7. Divisibility rule of 7 example
  8. Divisibility rule of 8 example
  9. Divisibility rule of 9 example
  10. Divisibility rule of 10 example
  11. Divisibility rule of 11 example
  12. Divisibility rule of 12 example
  13. Divisibility rule of 13 example
  14. Divisibility rule of 14 example
  15. Divisibility rule of 15 example
  16. Divisibility rule of 16 example
  17. Divisibility rule of 17 example
  18. Divisibility rule of 18 example
  19. Divisibility rule of 19 example
  20. Divisibility rule of 20 example
  21. Divisibility rule of 21 example
  22. Divisibility rule of 22 example
  23. Divisibility rule of 23 example
  24. Divisibility rule of 24 example
  25. Divisibility rule of 25 example
  26. Divisibility rule of 26 example
  27. Divisibility rule of 27 example
  28. Divisibility rule of 28 example
  29. Divisibility rule of 29 example
  30. Divisibility rule of 30 example
  31. Divisibility rule of 31 example
  32. Divisibility rule of 32 example
  33. Divisibility rule of 33 example
  34. Divisibility rule of 34 example
  35. Divisibility rule of 35 example
  36. Divisibility rule of 36 example
  37. Divisibility rule of 37 example
  38. Divisibility rule of 38 example
  39. Divisibility rule of 39 example
  40. Divisibility rule of 40 example
  41. Divisibility rule of 41 example
  42. Divisibility rule of 42 example
  43. Divisibility rule of 43 example
  44. Divisibility rule of 44 example
  45. Divisibility rule of 45 example
  46. Divisibility rule of 46 example
  47. Divisibility rule of 47 example
  48. Divisibility rule of 48 example
  49. Divisibility rule of 49 example
  50. Divisibility rule of 50 example
  51. Divisibility rule of 51 example
  52. Divisibility rule of 52 example
  53. Divisibility rule of 53 example
  54. Divisibility rule of 54 example
  55. Divisibility rule of 55 example
  56. Divisibility rule of 56 example
  57. Divisibility rule of 57 example
  58. Divisibility rule of 58 example
  59. Divisibility rule of 59 example
  60. Divisibility rule of 60 example
  61. Divisibility rule of 61 example
  62. Divisibility rule of 62 example
  63. Divisibility rule of 63 example
  64. Divisibility rule of 64 example
  65. Divisibility rule of 65 example
  66. Divisibility rule of 66 example
  67. Divisibility rule of 67 example
  68. Divisibility rule of 68 example
  69. Divisibility rule of 69 example
  70. Divisibility rule of 70 example
  71. Divisibility rule of 71 example
  72. Divisibility rule of 72 example
  73. Divisibility rule of 73 example
  74. Divisibility rule of 74 example
  75. Divisibility rule of 75 example
  76. Divisibility rule of 76 example
  77. Divisibility rule of 77 example
  78. Divisibility rule of 78 example
  79. Divisibility rule of 79 example
  80. Divisibility rule of 80 example
  81. Divisibility rule of 81 example
  82. Divisibility rule of 82 example
  83. Divisibility rule of 83 example
  84. Divisibility rule of 84 example
  85. Divisibility rule of 85 example
  86. Divisibility rule of 86 example
  87. Divisibility rule of 87 example
  88. Divisibility rule of 88 example
  89. Divisibility rule of 89 example
  90. Divisibility rule of 90 example
  91. Divisibility rule of 91 example
  92. Divisibility rule of 92 example
  93. Divisibility rule of 93 example
  94. Divisibility rule of 94 example
  95. Divisibility rule of 95 example
  96. Divisibility rule of 96 example
  97. Divisibility rule of 97 example
  98. Divisibility rule of 98 example
  99. Divisibility rule of 99 example
50. Divisibility rule of 50 example
(Previous example)		52. Divisibility rule of 52 example
(Next example)

51. Divisibility rule of 51 example


1. Check whether 13260 is divisible by 51 or not?

Solution:
Divisibility rule of 51 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 51, then number is also divisible by 51.
(Apply this rule to the answer again if necessary)

`1326color{red}{0}=>1326 - color{red}{0} xx 5 = 1326 = 1326`

`132color{red}{6}=>132 - color{red}{6} xx 5 = 132 -30 = 102`

`10color{red}{2}=>10 - color{red}{2} xx 5 = 10 -10 = 0`

Here 0 is divisible by 51.
`:.` 13260 is divisible by 51.

Method-2 :
Divisibility rule of 51 :
If number is divisible by 3 and 17, then number is also divisible by 51.

Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 13260 is `1+3+2+6+0=12`, which is divisible by 3.


`:.` 13260 is divisible by 3.


Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`1326color{red}{0}=>1326 - color{red}{0} xx 5 = 1326 = 1326`

`132color{red}{6}=>132 - color{red}{6} xx 5 = 132 -30 = 102`

`10color{red}{2}=>10 - color{red}{2} xx 5 = 10 -10 = 0`

Here 0 is divisible by 17.
`:.` 13260 is divisible by 17.


13260 is divisible by 3 and 17.

`:.` 13260 is divisible by 51.


2. Check whether 16269 is divisible by 51 or not?

Solution:
Divisibility rule of 51 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 51, then number is also divisible by 51.
(Apply this rule to the answer again if necessary)

`1626color{red}{9}=>1626 - color{red}{9} xx 5 = 1626 -45 = 1581`

`158color{red}{1}=>158 - color{red}{1} xx 5 = 158 -5 = 153`

`15color{red}{3}=>15 - color{red}{3} xx 5 = 15 -15 = 0`

Here 0 is divisible by 51.
`:.` 16269 is divisible by 51.

Method-2 :
Divisibility rule of 51 :
If number is divisible by 3 and 17, then number is also divisible by 51.

Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 16269 is `1+6+2+6+9=24`, which is divisible by 3.


`:.` 16269 is divisible by 3.


Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`1626color{red}{9}=>1626 - color{red}{9} xx 5 = 1626 -45 = 1581`

`158color{red}{1}=>158 - color{red}{1} xx 5 = 158 -5 = 153`

`15color{red}{3}=>15 - color{red}{3} xx 5 = 15 -15 = 0`

Here 0 is divisible by 17.
`:.` 16269 is divisible by 17.


16269 is divisible by 3 and 17.

`:.` 16269 is divisible by 51.


3. Check whether 17901 is divisible by 51 or not?

Solution:
Divisibility rule of 51 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 51, then number is also divisible by 51.
(Apply this rule to the answer again if necessary)

`1790color{red}{1}=>1790 - color{red}{1} xx 5 = 1790 -5 = 1785`

`178color{red}{5}=>178 - color{red}{5} xx 5 = 178 -25 = 153`

`15color{red}{3}=>15 - color{red}{3} xx 5 = 15 -15 = 0`

Here 0 is divisible by 51.
`:.` 17901 is divisible by 51.

Method-2 :
Divisibility rule of 51 :
If number is divisible by 3 and 17, then number is also divisible by 51.

Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 17901 is `1+7+9+0+1=18`, which is divisible by 3.


`:.` 17901 is divisible by 3.


Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`1790color{red}{1}=>1790 - color{red}{1} xx 5 = 1790 -5 = 1785`

`178color{red}{5}=>178 - color{red}{5} xx 5 = 178 -25 = 153`

`15color{red}{3}=>15 - color{red}{3} xx 5 = 15 -15 = 0`

Here 0 is divisible by 17.
`:.` 17901 is divisible by 17.


17901 is divisible by 3 and 17.

`:.` 17901 is divisible by 51.


4. Check whether 14811 is divisible by 51 or not?

Solution:
Divisibility rule of 51 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 51, then number is also divisible by 51.
(Apply this rule to the answer again if necessary)

`1481color{red}{1}=>1481 - color{red}{1} xx 5 = 1481 -5 = 1476`

`147color{red}{6}=>147 - color{red}{6} xx 5 = 147 -30 = 117`

`11color{red}{7}=>11 - color{red}{7} xx 5 = 11 -35 = -24`

Here -24 is not divisible by 51.
`:.` 14811 is not divisible by 51.

Method-2 :
Divisibility rule of 51 :
If number is divisible by 3 and 17, then number is also divisible by 51.

Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 14811 is `1+4+8+1+1=15`, which is divisible by 3.


`:.` 14811 is divisible by 3.


Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`1481color{red}{1}=>1481 - color{red}{1} xx 5 = 1481 -5 = 1476`

`147color{red}{6}=>147 - color{red}{6} xx 5 = 147 -30 = 117`

`11color{red}{7}=>11 - color{red}{7} xx 5 = 11 -35 = -24`

Here -24 is not divisible by 17.
`:.` 14811 is not divisible by 17.


Hence 14811 is also not divisible by 51.

5. Check whether 15678 is divisible by 51 or not?

Solution:
Divisibility rule of 51 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 51, then number is also divisible by 51.
(Apply this rule to the answer again if necessary)

`1567color{red}{8}=>1567 - color{red}{8} xx 5 = 1567 -40 = 1527`

`152color{red}{7}=>152 - color{red}{7} xx 5 = 152 -35 = 117`

`11color{red}{7}=>11 - color{red}{7} xx 5 = 11 -35 = -24`

Here -24 is not divisible by 51.
`:.` 15678 is not divisible by 51.

Method-2 :
Divisibility rule of 51 :
If number is divisible by 3 and 17, then number is also divisible by 51.

Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 15678 is `1+5+6+7+8=27`, which is divisible by 3.


`:.` 15678 is divisible by 3.


Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)

`1567color{red}{8}=>1567 - color{red}{8} xx 5 = 1567 -40 = 1527`

`152color{red}{7}=>152 - color{red}{7} xx 5 = 152 -35 = 117`

`11color{red}{7}=>11 - color{red}{7} xx 5 = 11 -35 = -24`

Here -24 is not divisible by 17.
`:.` 15678 is not divisible by 17.


Hence 15678 is also not divisible by 51.

6. Check whether 19579 is divisible by 51 or not?

Solution:
Divisibility rule of 51 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 51, then number is also divisible by 51.
(Apply this rule to the answer again if necessary)

`1957color{red}{9}=>1957 - color{red}{9} xx 5 = 1957 -45 = 1912`

`191color{red}{2}=>191 - color{red}{2} xx 5 = 191 -10 = 181`

`18color{red}{1}=>18 - color{red}{1} xx 5 = 18 -5 = 13`

Here 13 is not divisible by 51.
`:.` 19579 is not divisible by 51.

Method-2 :
Divisibility rule of 51 :
If number is divisible by 3 and 17, then number is also divisible by 51.

Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.

Sum of digits of 19579 is `1+9+5+7+9=31`, which is not divisible by 3.


`:.` 19579 is not divisible by 3.


Hence 19579 is also not divisible by 51.



This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here


50. Divisibility rule of 50 example
(Previous example)		52. Divisibility rule of 52 example
(Next example)


Share this solution or page with your friends.
 
 
Home What's new College Algebra Games Feedback About us
 
Copyright © 2025. All rights reserved. Terms, Privacy
 
 

.