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 5^{th} 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 6^{th} 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 8^{th} 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

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now did you learn how to find factors of 120?