# HOW TO FIND FACTORS OF NUMBERS

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## FACTORS OF NUMBERS

Factors of numbers means , when a number X is divided by number Y and gives remainder 0 then we say that Y is factor of X . Lets understand this with an example.

Say we need factors of 8.

If we divide 8 by 2 we get remainder 0 and quotient as 4. Again next number 3. If we divide 8 /3 we get remainder and quotient as 2. Since we didnt get remainder 0 when divided by 3 means 3 is not factor of 8. Try with 4 we get remainder 0 and quotient as 2 . With 5,6,7 we cannot get remainder 0. Hence they cannot be factors.

We shall remember that 1 and the number for which we need factors are always factors of the number.

Finally if we see factors of 8 are 1, 2, 4 and 8 .

### Few things to Remember

• 1 is a factor of every number
• Any number is factor of itself.
• Minimum there are always 2 factors for every number.
• Factors are nothing but multiples of number.

#### Factors of numbers below 30

• 1 – 1
• 2 – 1 , 2
• 3 – 1 , 3
• 4 – 1, 2 , 4
• 5 – 1 , 5
• 6 – 1, 2, 3, 6
• 7 – 1, 7
• 8 – 1, 2, 4, 8
• 9 – 1, 3, 9
• 10 – 1, 2, 5,10
• 11 – 1, 11
• 12 – 1, 2, 3, 4, 6, 12
• 13 – 1, 13
• 14 – 1, 2, 7, 14
• 15 – 1 ,3, 5, 15
• 16 – 1 ,2, 4, 8, 16
• 17 – 1, 17
• 18 – 1, 2 ,3 ,6, 9,18
• 19 – 1, 19
• 20 – 1, 2, 4, 5, 10, 20
• 21 – 1, 3, 7, 21
• 22 – 1, 2, 11 , 22
• 23 – 1, 23
• 24 – 1, 2, 3, 4, 6, 8, 12, 24
• 25 – 1, 5, 25
• 26 – 1 , 2 , 13 , 26
• 27 – 1, 3, 9, 27
• 28 – 1, 2, 4, 7, 14 , 28
• 29 – 1, 29

Here if we observe for 6 and 28 Sum of factors is equal to twice the number.

For 6– Twice of 6 = 12 and sum of factors = 1 +2 +3+6 = 12

For 28 Twice of 28 = 56 and sum of factors = 1 + 2+4+7+14+28 =56

Note – If sum of factors equals to twice the number then that number is called as PERFECT NUMBER.

Here 6 and 28 are perfect numbers.

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