# Find all the factors of 120 by a simple method

Learn the process of finding factors of 120. As the given number 120 is a somewhat big number so it is difficult to write or to find all the factors of 120. Before finding the factors of 120 first we will know about the meaning of a factor.

Do you know the meaning of a factor? If you don’t know, let’s see what is a factor. A factor is a number which divides the given number exactly. For example, 2 is a factor of 4 because 2 divides 4 exactly.

## Method to find the number of factors of 120:

Write the given number 120 as the product of prime numbers.

120 = ${ 2 }^{ 3 }$ × ${ 3 }^{ 1 }$ × ${ 5 }^{ 1 }$

Total number of factors of the number 120 = (3+1) × ( 1 + 1) × ( 1 + 1) = 4 × 2 × 2 = 1

So 120 has a total of 16 factors. Now we need to find what are that 16 factors of the number 120.

### Method to find all the factors of 120 without missing any factor:

First, write 120 as a product of 1 and 120 because 1 divides any number.

After 1 we have number 2. Check whether 120 is divisible or not. As 120 is divisible by 2 so write 20 as a product of 2 and 60.

Next take 3, in third table 120 goes 40 times so write 120 as a product of 3 and 40.

Now we have 4, in fourth table 120 goes 30 times so now we can write 120 as a product of 4 and 30.

After 4 we have 5, in 5th table 120 goes 24 times. So write 120 as a product of 24 and the number 5.

Now take 6 and 120 goes 20 times in 6th table. Write 120 as a product of 20 and the number 6.

7 can’t divide 120 exactly so leave it.

Take 8 and in 8th table 120 goes 15 times so write 120 as a product of 8 and 15.

Next, we have 9 as it can’t divide 120 exactly leave that and take next number.

Next 10 as we know 120 goes 12 times so write 120 as a product of 10 and 12.

Finally, we can write as shown in below table.

Therefore the factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120