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Home > Pre-Algebra calculators > Divisibility rule example
Divisibility rule of 98 example ( Enter your problem )
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  97. Divisibility rule of 97 example
  98. Divisibility rule of 98 example
  99. Divisibility rule of 99 example
97. Divisibility rule of 97 example
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98. Divisibility rule of 98 example


1. Check whether 27244 is divisible by 98 or not?

Solution:
Divisibility rule of 98 :
If number is divisible by 2 and 49, then number is also divisible by 98.

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

Last digit of 27244 is 4, which is divisible by 2.

`:.` 27244 is divisible by 2.


Divisibility rule of 49 :
5 times the last digit and add it to the rest of the number.
If the answer is divisible by 49, then number is also divisible by 49.
(Apply this rule to the answer again if necessary)

`2724color{red}{4}=>2724 + color{red}{4} xx 5 = 2724 +20 = 2744`

`274color{red}{4}=>274 + color{red}{4} xx 5 = 274 +20 = 294`

`29color{red}{4}=>29 + color{red}{4} xx 5 = 29 +20 = 49`

Here 49 is divisible by 49.
`:.` 27244 is divisible by 49.


27244 is divisible by 2 and 49.

`:.` 27244 is divisible by 98.


2. Check whether 30968 is divisible by 98 or not?

Solution:
Divisibility rule of 98 :
If number is divisible by 2 and 49, then number is also divisible by 98.

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

Last digit of 30968 is 8, which is divisible by 2.

`:.` 30968 is divisible by 2.


Divisibility rule of 49 :
5 times the last digit and add it to the rest of the number.
If the answer is divisible by 49, then number is also divisible by 49.
(Apply this rule to the answer again if necessary)

`3096color{red}{8}=>3096 + color{red}{8} xx 5 = 3096 +40 = 3136`

`313color{red}{6}=>313 + color{red}{6} xx 5 = 313 +30 = 343`

`34color{red}{3}=>34 + color{red}{3} xx 5 = 34 +15 = 49`

Here 49 is divisible by 49.
`:.` 30968 is divisible by 49.


30968 is divisible by 2 and 49.

`:.` 30968 is divisible by 98.


3. Check whether 37338 is divisible by 98 or not?

Solution:
Divisibility rule of 98 :
If number is divisible by 2 and 49, then number is also divisible by 98.

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

Last digit of 37338 is 8, which is divisible by 2.

`:.` 37338 is divisible by 2.


Divisibility rule of 49 :
5 times the last digit and add it to the rest of the number.
If the answer is divisible by 49, then number is also divisible by 49.
(Apply this rule to the answer again if necessary)

`3733color{red}{8}=>3733 + color{red}{8} xx 5 = 3733 +40 = 3773`

`377color{red}{3}=>377 + color{red}{3} xx 5 = 377 +15 = 392`

`39color{red}{2}=>39 + color{red}{2} xx 5 = 39 +10 = 49`

Here 49 is divisible by 49.
`:.` 37338 is divisible by 49.


37338 is divisible by 2 and 49.

`:.` 37338 is divisible by 98.


4. Check whether 29132 is divisible by 98 or not?

Solution:
Divisibility rule of 98 :
If number is divisible by 2 and 49, then number is also divisible by 98.

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

Last digit of 29132 is 2, which is divisible by 2.

`:.` 29132 is divisible by 2.


Divisibility rule of 49 :
5 times the last digit and add it to the rest of the number.
If the answer is divisible by 49, then number is also divisible by 49.
(Apply this rule to the answer again if necessary)

`2913color{red}{2}=>2913 + color{red}{2} xx 5 = 2913 +10 = 2923`

`292color{red}{3}=>292 + color{red}{3} xx 5 = 292 +15 = 307`

`30color{red}{7}=>30 + color{red}{7} xx 5 = 30 +35 = 65`

Here 65 is not divisible by 49.
`:.` 29132 is not divisible by 49.


Hence 29132 is also not divisible by 98.

5. Check whether 31407 is divisible by 98 or not?

Solution:
Divisibility rule of 98 :
If number is divisible by 2 and 49, then number is also divisible by 98.

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

Last digit of 31407 is 7, which is not divisible by 2.

`:.` 31407 is not divisible by 2.


Hence 31407 is also not divisible by 98.

6. Check whether 34838 is divisible by 98 or not?

Solution:
Divisibility rule of 98 :
If number is divisible by 2 and 49, then number is also divisible by 98.

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

Last digit of 34838 is 8, which is divisible by 2.

`:.` 34838 is divisible by 2.


Divisibility rule of 49 :
5 times the last digit and add it to the rest of the number.
If the answer is divisible by 49, then number is also divisible by 49.
(Apply this rule to the answer again if necessary)

`3483color{red}{8}=>3483 + color{red}{8} xx 5 = 3483 +40 = 3523`

`352color{red}{3}=>352 + color{red}{3} xx 5 = 352 +15 = 367`

`36color{red}{7}=>36 + color{red}{7} xx 5 = 36 +35 = 71`

Here 71 is not divisible by 49.
`:.` 34838 is not divisible by 49.


Hence 34838 is also not divisible by 98.


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