Tuesday, July 6, 2010

Factors of a number

Let Us Learn About Factors of a number

Consider the number 6, we have 6 divisible by 1, 2, 3, and 6.


Which means after division of 6 by any of 1, 2, 3, and 6, we get the remainder as zero.
These numbers 1, 2, 3, and 6 are called as factors of 6.
Factors of a number: factors of a number are those numbers which when divide the given number, leaves zero remainder.
Examples:
(i)3 and 5 are factors of 15 as 3x5 = 15
Also, 1x15 = 15
or, 1 and 15 are also factors of 15.
Thus, as we discussed above; 1, 3, 5 and 15 are factors of 15 as each of these numbers (1, 3, 5 and 15) divides number 15 exactly.
Let Us Learn On Methods Of Factorization

* Common Factor
* Prime Factor
* Highest Common Factor

Let Us understand About Common Factor

10 = 2 × 5 = 1 × 10

Thus, the factors of 10 are 1, 2, 5 and 10.
15 = 1 × 15 = 3 × 5
Thus, the factors of 15 are 1, 3, 5 and 15.
Clearly, 5 is a factor of both 10 and 15. It is said that 5 is a common factor of 10 and 15.

We shall Learn About Prime Factor in our next blog


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