Any number is said to be divisible by 14 if that number is divisible by 2 as well as 7 (remember, 14 can be written as 2 x 7). If the number is not divisible by either of 2 or 7, then the number is not divisible by 14.

To check divisibility by 2, please refer to topic Divisibility by 2.

To check divisibility by 7, please refer to topic Divisibility by 7.

For example: Is 34566 divisible by 14?

Step 1: Ones digit of 34566 is 6, which is even.

So, 34566 is divisible by 2.

Step 2: Ones digit of 34566 is 6. So result is obtained as below:

3456 – (2 x 6) = 3444

344 – (2 x 4) = 336

33 – (2 x 6) = 21.

21 is divisible by 7.

As number 34566 is divisible by 2 and 7, both, so this number is divisible by 14.

Practice Questions:

Check whether below numbers are divisible by 14?

a. 4566 b. 1236 c. 111112 d. 222224 e. 22124

f. 284 g. 3636 h. 124578 i. 2840 j. 5556

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