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.

factors of 120

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.

factors of 120

120 = 23 × 31 × 51

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

                                                                               = 4 × 2 × 2

                                                                                = 16

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.

factors of 120

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.

factors of 120

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

factors of 120

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

factors of 120

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

factors of 120

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

factors of 120

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.

factors of 120

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.

factors of 120

Finally, we can write as shown in below table.

factors of 120

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