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# What Does Factor Mean in Math?

July 30, 2022 written by Azhar Ejaz

A factor in math is any whole number that divide another number evenly without remainder.

That a factor of a number (N) in math always includes, 1 and itself (N)

## What is a Factor?

A factor in mathematics is a number or algebraic expression that divide another number or algebraic expression evenly –without a remainder in other words,

If multiplying two whole numbers gives a product, then the number we are multiplying are factors of the product because they are divisible by the product. i.e(2×5=10)

2 and5 factors of 10

There are two methods of finding factors:

Multiplication and division

In addition, rules of disability may also be used.

Example:

Find all factors of 4

Solution:

Step 1: write all the numbers from 1 to 4

1,2,3,4,

Step 2: check which of these numbers are divisible by 4 and leave no remainders.

4/1=4

4/2=2

4/3 not divisible

4/4=1

Step 3: the factor of 4 are 1, 2, and 4 because divisible by 4 and leave no remainders

2nd method

Find all factors of 4

1×4=4

2×2=4

4×1=4

The factor of 4=1, 2,4

Example:

Find all factors of 12

Step1: write all the numbers from 1to12

1,2,3,4,5,6,7,8,9,10,11,12

Step 2: check which of these numbers are divisible by 12 and leave no remainder

12/1=12

12/2=6

12/3=4

.

.

Continue dividing 12 by each of these numbers

Step3: the factor of 12 are 1,2,3,4,6,12

Note:

That the factors of a number (N) in math always includes 1 and itself N.(i.e the factor number of 12 in math always includes  1 and 12)

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