Factors in Mathematics

If we multiply to get the number is Factors of that numbers. Factors and multiples are different things. But they both involve the general concept of multiplication.

In another way, a factor is a number that divides into another number exactly and without leaving a remainder.
The Factors of any number are always less than or equals to given Numbers and it is different from Multiples.

Example:-Let us find the factors of 6:-



1     x    6 =   6
2     x    3  = 6

Therefore 1, 2, 3, and 6 are factors of 6.       
                                               INCOMPLETE ANSWER Why ???

 Because multiplying negatives make a positive, −1, −2, −3, and −6 are also factors of 6:

• (−1) × (−6) = 6
• (−2) × (−3) = 6

So ALL the factors of 6 are:

1, 2, 3,  and 6 AND −1, −2, −3,  and −6

Example:- Let us find the factors of 8:-


1     x    8 =   8 or 8 x 1 = 8
2     x    4 =   8 or 4 x 2 = 8

 So factors of 8 are 1, 2, 4, 8. 
                                         INCOMPLETE ANSWER Why ???

Since because multiplying negatives make a positive, −1, −2,  −4, and −8 are also factors of 8:

• (−1) × (−8) = 8
• (−2) × (−4) = 8) 

So ALL the factors of 8 are:

1, 2, 3, 4,  and 8 AND −1, −2, −3, −4,  and −8

Example:-Let us find the factors of 12:-

•  3 and 4 are factors of 12 since 12 = 3 x 4
• Similarly  2 and 6 are also factors of 12 since 12 = 2 x 6,
• And 12 = 1 x 12, Therefore 1 and 12 are factors of 12 also.
• So factors of 12 are 1, 2, 4, 6, and 12. 
                                           INCOMPLETE ANSWER Why ???

 because multiplying negatives make a positive, −1, −2, −3, −4, −6 and −12 are also factors of 12:

• (−1) × (−12) = 12
• (−2) × (−6) = 12
• (−3) × (−4) = 12

So ALL the factors of 12 are: 

Similarly, we can find factors of any numbers in mathematics using the above methods or Prime Factorisation Methods.

______________________________________________________