__maths__>__Divisibility in Whole Numbers__>__Reducing number of Digits for Divisibility Test__### Divisibility by `14`

In this page, a simple overview of the divisibility test for `14` is provided. The procedure uses simplification by Factors.

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Given a number `2xx7xx2351`. Is it divisible by `14`?

- cannot decide without finding the result of the given multiplication
- it is divisible by `14` as it has `2` and `7` as factors
- it is divisible by `14` as it has `2` and `7` as factors

The answer is "it is divisible by `14` as it has `2` and `7` as factors"

**Test for Divisibility by `14`** : If a dividend is divisible by `2` and divisible by `7` then it is divisible by `14`

Is `2008` divisible by `14`?

- Yes
- No
- No

The answer is "No". The number is divisible by `2` but not by `7`. So it is not divisible by `14`.

Is `924` divisible by `14`?

- Yes
- Yes
- No

The answer is "Yes". The number is divisible by `2` and also divisible by `7`. So it is divisible by `14`.

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