The factors of a number are the numbers that will divide it without a remainder. For example, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Note that 24 is a factor of itself.
We see that 24 has 8 factors, is there a way of finding the number of factors of a number without having to list them all out?

Suppose you are required to find the number of factors of 560, it will be time consuming to list all the factors and them count their number, in this lesson you will learn a method of Prime Factorisation used for finding the number of factors of number.

Step by Step approach to finding the number of factors of a given number

We are going to explain the steps using 24, since we know that it has 8 factors.

Example 1: How many factors does 24 have?

Step 1 :[ Prime Factorisation ] Express 24 as a product of its prime factors.

24 = 2 X 2 X 2 X 3.

Step 2: Express the prime factors in
index form

24 = 2³ × 3¹

Step 3: Add 1 to each of the powers and Multiply the results.

( 3+1 )( 1+1 ) = 4 X 2 = 8


Bravo! We have gotten the number of factors of 24 as 8.

Example 2:

To Continue reading and to take a simple COMPUTER BASED TEST visit http://samimath.com/find-number-factors-number/

Remember to ask any question you have in the Math Forum here: http://samimath.com/forums/math-forum.

thanks

Aiholi:
thanks

You are welcome