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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 62 example ( Enter your problem )
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61. Divisibility rule of 61 example
(Previous example)		63. Divisibility rule of 63 example
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62. Divisibility rule of 62 example


1. Check whether 16678 is divisible by 62 or not?

Solution:
Divisibility rule of 62 :
If number is divisible by 2 and 31, then number is also divisible by 62.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 16678 is 8, which is divisible by 2.

`:.` 16678 is divisible by 2.


Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`1667color{red}{8}=>1667 - color{red}{8} xx 3 = 1667 -24 = 1643`

`164color{red}{3}=>164 - color{red}{3} xx 3 = 164 -9 = 155`

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

Here 0 is divisible by 31.
`:.` 16678 is divisible by 31.


16678 is divisible by 2 and 31.

`:.` 16678 is divisible by 62.


2. Check whether 20150 is divisible by 62 or not?

Solution:
Divisibility rule of 62 :
If number is divisible by 2 and 31, then number is also divisible by 62.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 20150 is 0, which is divisible by 2.

`:.` 20150 is divisible by 2.


Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`2015color{red}{0}=>2015 - color{red}{0} xx 3 = 2015 = 2015`

`201color{red}{5}=>201 - color{red}{5} xx 3 = 201 -15 = 186`

`18color{red}{6}=>18 - color{red}{6} xx 3 = 18 -18 = 0`

Here 0 is divisible by 31.
`:.` 20150 is divisible by 31.


20150 is divisible by 2 and 31.

`:.` 20150 is divisible by 62.


3. Check whether 23126 is divisible by 62 or not?

Solution:
Divisibility rule of 62 :
If number is divisible by 2 and 31, then number is also divisible by 62.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 23126 is 6, which is divisible by 2.

`:.` 23126 is divisible by 2.


Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`2312color{red}{6}=>2312 - color{red}{6} xx 3 = 2312 -18 = 2294`

`229color{red}{4}=>229 - color{red}{4} xx 3 = 229 -12 = 217`

`21color{red}{7}=>21 - color{red}{7} xx 3 = 21 -21 = 0`

Here 0 is divisible by 31.
`:.` 23126 is divisible by 31.


23126 is divisible by 2 and 31.

`:.` 23126 is divisible by 62.


4. Check whether 18479 is divisible by 62 or not?

Solution:
Divisibility rule of 62 :
If number is divisible by 2 and 31, then number is also divisible by 62.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 18479 is 9, which is not divisible by 2.

`:.` 18479 is not divisible by 2.


Hence 18479 is also not divisible by 62.

5. Check whether 20746 is divisible by 62 or not?

Solution:
Divisibility rule of 62 :
If number is divisible by 2 and 31, then number is also divisible by 62.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 20746 is 6, which is divisible by 2.

`:.` 20746 is divisible by 2.


Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`2074color{red}{6}=>2074 - color{red}{6} xx 3 = 2074 -18 = 2056`

`205color{red}{6}=>205 - color{red}{6} xx 3 = 205 -18 = 187`

`18color{red}{7}=>18 - color{red}{7} xx 3 = 18 -21 = -3`

Here -3 is not divisible by 31.
`:.` 20746 is not divisible by 31.


Hence 20746 is also not divisible by 62.

6. Check whether 24512 is divisible by 62 or not?

Solution:
Divisibility rule of 62 :
If number is divisible by 2 and 31, then number is also divisible by 62.

Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.

Last digit of 24512 is 2, which is divisible by 2.

`:.` 24512 is divisible by 2.


Divisibility rule of 31 :
3 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 31, then number is also divisible by 31.
(Apply this rule to the answer again if necessary)

`2451color{red}{2}=>2451 - color{red}{2} xx 3 = 2451 -6 = 2445`

`244color{red}{5}=>244 - color{red}{5} xx 3 = 244 -15 = 229`

`22color{red}{9}=>22 - color{red}{9} xx 3 = 22 -27 = -5`

Here -5 is not divisible by 31.
`:.` 24512 is not divisible by 31.


Hence 24512 is also not divisible by 62.


This material is intended as a summary. Use your textbook for detail explanation.
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