#### **Some facts about Factors and Multiples:-**

- Only 1 is a number which is a factor of every number.
- Every number is a factor of itself.
- All the factors of any number are the exact divisor of that number.
- All the factors are less than or equal to the given number.
- There are limited numbers of factors of any given number.
- All the multiples of any number are greater than or equal to the given number.
- There are infinite multiples of a given number.
- Every number is a multiple of itself.

**Note:-**

1 is neither prime nor composite.

2 is the only even number which is prime. It is the smallest prime number.

**Divisibility:-**

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**Divisibility by 1**

Any number divided by 1 will give the same number back.

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**Divisibility by 2**

All even number are divisible by two. The number ends with 2,4,6,8 including 0 are always completely divisible by 2.

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**Divisibility by 3**

If the sum of the digits of a number is divisible by 3, the number is also divisible by 3.

**Divisibility by 4**

If the last two digits of a number are divisible by 4, then the number is also completely divisible by 4.

**Divisibility by 5**

All numbers which has last digit as 0 or 5 are always divisible by 5.

**Divisibility by 6**

All numbers which are divisible by both 2 and 3 are divisible by 6.

**Divisibility by 8**

If the last three digits of a number are divisible by 8, then the number is also completely divisible by 8.

**Divisibility by 9**

If the sum of digits of the number is divisible by 9, then the number is also divisible by 9.

**Divisibility by 10**

Any number whose last digit is 0, is divisible by 10.

**Divisibility by 11**

If the difference of the sum of alternative digits of a number is divisible by 11 then the number is completely divisible by 11.