#### If a number is divisible by another number,

#### It is divisible by all the factors of the number

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Example 1
**

If a number is divisible by 6,

it is divisible by all the factors of 18

Factors of 6 are

1 × 6 = 6

2 × 3 = 6

3 × 2 = 6

We stop here as 2 & 3 have occurred earlier

So, factors of 6 are 1, 2, 3, 6

So if a number is divisible 6

It is divisible by its factors 1, 2, 3, 6

**
Example 2
**

If a number is divisible by 18,

it is divisible by all the factors of 18

Factors of 18 are

1 × 18 = 18

2 × 9 = 18

3 × 6 = 18

6 × 3 = 18

We stop here as 6 & 3 have occurred earlier

So, factors of 18 are 1, 2, 3, 6, 9, 18

So if a number is divisible 18

It is divisible by its factors 1, 2, 3, 6, 9, 18