This page provides basics required to understand what is a divisibility test.

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What is `5-:2`?

- only `2`
- quotient `2` and remainder `1`
- quotient `2` and remainder `1`
- both the above

The answer is "quotient `2` and remainder `1`".

What is `6-:2`?

- `3`
- quotient `3` and remainder `0`
- both the above
- both the above

The answer is "both the above".

Note the difference

• Result of `5-:2` is, quotient `2` and remainder `1`

• Result of `6-:2` is, quotient `3` and remainder `0`.

For a given divisor, the numbers can be grouped as

• numbers for which remainder is `0` and

• numbers for which remainder is not `0`.

A number is called "**divisible**" by a divisor, if the remainder is `0`.

**Divisibility** : A number (dividend) is divisible by a divisor number if the remainder is `0`.**Divisibility Test** : A procedure, to check if a given number is divisible by a divisor or not divisible by a divisor, is called divisibility test of the divisor.

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