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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 39 example ( Enter your problem )
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38. Divisibility rule of 38 example
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39. Divisibility rule of 39 example


1. Check whether 10608 is divisible by 39 or not?

Solution:
Divisibility rule of 39 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 39, then number is also divisible by 39.
(Apply this rule to the answer again if necessary)

`1060color{red}{8}=>1060 + color{red}{8} xx 4 = 1060 +32 = 1092`

`109color{red}{2}=>109 + color{red}{2} xx 4 = 109 +8 = 117`

`11color{red}{7}=>11 + color{red}{7} xx 4 = 11 +28 = 39`

Here 39 is divisible by 39.
`:.` 10608 is divisible by 39.

Method-2 :
Divisibility rule of 39 :
If number is divisible by 3 and 13, then number is also divisible by 39.

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

Sum of digits of 10608 is `1+0+6+0+8=15`, which is divisible by 3.


`:.` 10608 is divisible by 3.


Divisibility rule of 13 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 13, then number is also divisible by 13.
(Apply this rule to the answer again if necessary)

`1060color{red}{8}=>1060 + color{red}{8} xx 4 = 1060 +32 = 1092`

`109color{red}{2}=>109 + color{red}{2} xx 4 = 109 +8 = 117`

`11color{red}{7}=>11 + color{red}{7} xx 4 = 11 +28 = 39`

Here 39 is divisible by 13.
`:.` 10608 is divisible by 13.


10608 is divisible by 3 and 13.

`:.` 10608 is divisible by 39.


2. Check whether 12285 is divisible by 39 or not?

Solution:
Divisibility rule of 39 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 39, then number is also divisible by 39.
(Apply this rule to the answer again if necessary)

`1228color{red}{5}=>1228 + color{red}{5} xx 4 = 1228 +20 = 1248`

`124color{red}{8}=>124 + color{red}{8} xx 4 = 124 +32 = 156`

`15color{red}{6}=>15 + color{red}{6} xx 4 = 15 +24 = 39`

Here 39 is divisible by 39.
`:.` 12285 is divisible by 39.

Method-2 :
Divisibility rule of 39 :
If number is divisible by 3 and 13, then number is also divisible by 39.

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

Sum of digits of 12285 is `1+2+2+8+5=18`, which is divisible by 3.


`:.` 12285 is divisible by 3.


Divisibility rule of 13 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 13, then number is also divisible by 13.
(Apply this rule to the answer again if necessary)

`1228color{red}{5}=>1228 + color{red}{5} xx 4 = 1228 +20 = 1248`

`124color{red}{8}=>124 + color{red}{8} xx 4 = 124 +32 = 156`

`15color{red}{6}=>15 + color{red}{6} xx 4 = 15 +24 = 39`

Here 39 is divisible by 13.
`:.` 12285 is divisible by 13.


12285 is divisible by 3 and 13.

`:.` 12285 is divisible by 39.


3. Check whether 14898 is divisible by 39 or not?

Solution:
Divisibility rule of 39 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 39, then number is also divisible by 39.
(Apply this rule to the answer again if necessary)

`1489color{red}{8}=>1489 + color{red}{8} xx 4 = 1489 +32 = 1521`

`152color{red}{1}=>152 + color{red}{1} xx 4 = 152 +4 = 156`

`15color{red}{6}=>15 + color{red}{6} xx 4 = 15 +24 = 39`

Here 39 is divisible by 39.
`:.` 14898 is divisible by 39.

Method-2 :
Divisibility rule of 39 :
If number is divisible by 3 and 13, then number is also divisible by 39.

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

Sum of digits of 14898 is `1+4+8+9+8=30`, which is divisible by 3.


`:.` 14898 is divisible by 3.


Divisibility rule of 13 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 13, then number is also divisible by 13.
(Apply this rule to the answer again if necessary)

`1489color{red}{8}=>1489 + color{red}{8} xx 4 = 1489 +32 = 1521`

`152color{red}{1}=>152 + color{red}{1} xx 4 = 152 +4 = 156`

`15color{red}{6}=>15 + color{red}{6} xx 4 = 15 +24 = 39`

Here 39 is divisible by 13.
`:.` 14898 is divisible by 13.


14898 is divisible by 3 and 13.

`:.` 14898 is divisible by 39.


4. Check whether 11275 is divisible by 39 or not?

Solution:
Divisibility rule of 39 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 39, then number is also divisible by 39.
(Apply this rule to the answer again if necessary)

`1127color{red}{5}=>1127 + color{red}{5} xx 4 = 1127 +20 = 1147`

`114color{red}{7}=>114 + color{red}{7} xx 4 = 114 +28 = 142`

`14color{red}{2}=>14 + color{red}{2} xx 4 = 14 +8 = 22`

Here 22 is not divisible by 39.
`:.` 11275 is not divisible by 39.

Method-2 :
Divisibility rule of 39 :
If number is divisible by 3 and 13, then number is also divisible by 39.

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

Sum of digits of 11275 is `1+1+2+7+5=16`, which is not divisible by 3.


`:.` 11275 is not divisible by 3.


Hence 11275 is also not divisible by 39.

5. Check whether 12066 is divisible by 39 or not?

Solution:
Divisibility rule of 39 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 39, then number is also divisible by 39.
(Apply this rule to the answer again if necessary)

`1206color{red}{6}=>1206 + color{red}{6} xx 4 = 1206 +24 = 1230`

`123color{red}{0}=>123 + color{red}{0} xx 4 = 123 = 123`

`12color{red}{3}=>12 + color{red}{3} xx 4 = 12 +12 = 24`

Here 24 is not divisible by 39.
`:.` 12066 is not divisible by 39.

Method-2 :
Divisibility rule of 39 :
If number is divisible by 3 and 13, then number is also divisible by 39.

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

Sum of digits of 12066 is `1+2+0+6+6=15`, which is divisible by 3.


`:.` 12066 is divisible by 3.


Divisibility rule of 13 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 13, then number is also divisible by 13.
(Apply this rule to the answer again if necessary)

`1206color{red}{6}=>1206 + color{red}{6} xx 4 = 1206 +24 = 1230`

`123color{red}{0}=>123 + color{red}{0} xx 4 = 123 = 123`

`12color{red}{3}=>12 + color{red}{3} xx 4 = 12 +12 = 24`

Here 24 is not divisible by 13.
`:.` 12066 is not divisible by 13.


Hence 12066 is also not divisible by 39.

6. Check whether 14567 is divisible by 39 or not?

Solution:
Divisibility rule of 39 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 39, then number is also divisible by 39.
(Apply this rule to the answer again if necessary)

`1456color{red}{7}=>1456 + color{red}{7} xx 4 = 1456 +28 = 1484`

`148color{red}{4}=>148 + color{red}{4} xx 4 = 148 +16 = 164`

`16color{red}{4}=>16 + color{red}{4} xx 4 = 16 +16 = 32`

Here 32 is not divisible by 39.
`:.` 14567 is not divisible by 39.

Method-2 :
Divisibility rule of 39 :
If number is divisible by 3 and 13, then number is also divisible by 39.

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

Sum of digits of 14567 is `1+4+5+6+7=23`, which is not divisible by 3.


`:.` 14567 is not divisible by 3.


Hence 14567 is also not divisible by 39.


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