What are the Factors of 120?

What are the Factors of 120?

The following are the different types of factors of 120:

• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

• Negative Factors of 120: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -30, -40, -60, -120

• Prime Factors of 120: 2, 3, 5

• Prime Factorization of 120: $2^3\times3^1\times5^1$

Factors by Division Method

To calculate the factors of 120, start by dividing the numbers by the smallest prime number, which is 2. If the number is not divisible by 2, proceed to the next prime number, such as 3, 5, 7, 11, 13, and continue this process until you reach 1.

Step 1: 120 ÷ 2 = 60
Step 2: 60 ÷ 2 = 30
Step 3: 30 ÷ 2 = 15
Step 4: 15 ÷ 3 = 5
Step 5: 5 ÷ 5 = 1

In step 5, we have reached to 1, and so, the process is stopped.

• Prime Factors of 120: $2\times2\times2\times3\times5$

• Prime Factorization of 120: $2^3\times3^1\times5^1$

The factors will be all the multiples of 1, 2, 2, 2, 3, 5, 15, 30, 60, 120

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
5 = 1 x 5
6 = 2 x 3
8 = 1 x 2 x 2 x 2
10 = 2 x 5
12 = 2 x 2 x 3
15 = 1 x 15
20 = 2 x 2 x 5
24 = 1 x 2 x 2 x 2 x 3
30 = 1 x 30
40 = 2 x 2 x 2 x 5
60 = 1 x 60
120 = 1 x 120

Finally Factors of 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120