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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 61 example ( Enter your problem )
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60. Divisibility rule of 60 example
(Previous example)		62. Divisibility rule of 62 example
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61. Divisibility rule of 61 example


1. Check whether 15616 is divisible by 61 or not?

Solution:
Divisibility rule of 61 :
6 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 61, then number is also divisible by 61.
(Apply this rule to the answer again if necessary)

`1561color{red}{6}=>1561 - color{red}{6} xx 6 = 1561 -36 = 1525`

`152color{red}{5}=>152 - color{red}{5} xx 6 = 152 -30 = 122`

`12color{red}{2}=>12 - color{red}{2} xx 6 = 12 -12 = 0`

Here 0 is divisible by 61.
`:.` 15616 is divisible by 61.


2. Check whether 20069 is divisible by 61 or not?

Solution:
Divisibility rule of 61 :
6 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 61, then number is also divisible by 61.
(Apply this rule to the answer again if necessary)

`2006color{red}{9}=>2006 - color{red}{9} xx 6 = 2006 -54 = 1952`

`195color{red}{2}=>195 - color{red}{2} xx 6 = 195 -12 = 183`

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

Here 0 is divisible by 61.
`:.` 20069 is divisible by 61.


3. Check whether 23607 is divisible by 61 or not?

Solution:
Divisibility rule of 61 :
6 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 61, then number is also divisible by 61.
(Apply this rule to the answer again if necessary)

`2360color{red}{7}=>2360 - color{red}{7} xx 6 = 2360 -42 = 2318`

`231color{red}{8}=>231 - color{red}{8} xx 6 = 231 -48 = 183`

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

Here 0 is divisible by 61.
`:.` 23607 is divisible by 61.


4. Check whether 16780 is divisible by 61 or not?

Solution:
Divisibility rule of 61 :
6 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 61, then number is also divisible by 61.
(Apply this rule to the answer again if necessary)

`1678color{red}{0}=>1678 - color{red}{0} xx 6 = 1678 = 1678`

`167color{red}{8}=>167 - color{red}{8} xx 6 = 167 -48 = 119`

`11color{red}{9}=>11 - color{red}{9} xx 6 = 11 -54 = -43`

Here -43 is not divisible by 61.
`:.` 16780 is not divisible by 61.


5. Check whether 19049 is divisible by 61 or not?

Solution:
Divisibility rule of 61 :
6 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 61, then number is also divisible by 61.
(Apply this rule to the answer again if necessary)

`1904color{red}{9}=>1904 - color{red}{9} xx 6 = 1904 -54 = 1850`

`185color{red}{0}=>185 - color{red}{0} xx 6 = 185 = 185`

`18color{red}{5}=>18 - color{red}{5} xx 6 = 18 -30 = -12`

Here -12 is not divisible by 61.
`:.` 19049 is not divisible by 61.


6. Check whether 22372 is divisible by 61 or not?

Solution:
Divisibility rule of 61 :
6 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 61, then number is also divisible by 61.
(Apply this rule to the answer again if necessary)

`2237color{red}{2}=>2237 - color{red}{2} xx 6 = 2237 -12 = 2225`

`222color{red}{5}=>222 - color{red}{5} xx 6 = 222 -30 = 192`

`19color{red}{2}=>19 - color{red}{2} xx 6 = 19 -12 = 7`

Here 7 is not divisible by 61.
`:.` 22372 is not divisible by 61.




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60. Divisibility rule of 60 example
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