How to Find Number of Factors

In mathematics, factorization (also factorization in British English) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 × 5, and the polynomial x2 − 4 factors as (x − 2) (x + 2). In all cases, a product of simpler objects is obtained.

How to find number of factor:example problems

Example 1:

Find all number of factors 50.
Solution:

50 = 1x50
= 2x25
= 5x10

So, the factors of 50 are 1, 2, 5, 10, 25 and 50.In the above example for how to find number of factors.

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Example 2:

Find all numbers of factors 80

Solution:

80 = 1x80
= 2x40
= 4x20
= 5x16
= 8x10

So, the factors of 80 are 1, 2,4,5,8,10,16,20,40 and 80.In the above example for how to find number of factors.

More explanation of how to find number of factors:-

Every number greater than 1 have atleast two factors: 1 and itself.

Example,

2 = 1 * 2

3 = 1 * 3

4 = 1 * 4

In two numbers are factors of another number are multiplied.

Note:- In 4 has some other factors besides 1 and 4:

4 = 1 * 4

4 = 2 * 2

A number 36 is a factors 4,

36 =  1 * 36

=  2 * 18

=  3 * 12

=  4 *  9

=  6 *  6

In those factors 1 and 36:

36 = 1 * 36

Divide by the next highest number after 1 and 2 is goes to 36. 18 times, 2 and 18 are a pair of factors:

36 =  1 * 36

=  2 * 18

=  3 * 12

=  4 *  9

Note:- 5 doesn't work, so leave that, and go on to 6:

36 =  1 * 36

=  2 * 18

=  3 * 12

=  4 *  9

=  6 *  6

Again, 7 doesn't work, and neither does 8. But 9 works:

36 =  1 * 36

=  2 * 18

=  3 * 12

=  4 *  9

=  6 *  6

=  9 *  4

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but it would be add on the small  table, because it says the same thing as an earlier entry:

36 = 1 * 36

= 2 * 18

= 3 * 12

= 4 *  9  <-- p="">
= 6 *  6     |  the same factors

= 9 *  4  <-- p="">
Any numbers larger than 6 remaining are smaller than 6. The factors of 36 are 1, 36, 2, 18, 3, 12, 4, 9, and 6.