# Prime factorization of 120

Here you will see step by step solution of prime factorization of 120, how to find factors of 120, you will see all factors of 120, how many factors of 120 has? Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, we can see that 120 has 16 factor and sum of all factors is 360.

• All Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Prime Factors of 120: 2 × 2 × 2 × 3 × 5
• Prime Factorization of 120: 23 × 31 × 51
• Sum of Factors of 120: 360
• Is 120 prime number: No

### How to find factors of 120 by Division Method?

To find the factors of 120 by division method, we need the find the all numbers between 1 to 120, which divide 120 with 0 remainder, then the number is factor of 120.

### Pair factors of 120

• 120/1 = 120 [ 1 × 120 (1, 120) 1 and 120 is pair factor of 120]
• 120/2 = 60 [ 2 × 60 (2, 60) 2 and 60 is pair factor of 120]
• 120/3 = 40 [ 3 × 40 (3, 40) 3 and 40 is pair factor of 120]
• 120/4 = 30 [ 4 × 30 (4, 30) 4 and 30 is pair factor of 120]
• 120/5 = 24 [ 5 × 24 (5, 24) 5 and 24 is pair factor of 120]
• 120/6 = 20 [ 6 × 20 (6, 20) 6 and 20 is pair factor of 120]
• 120/8 = 15 [ 8 × 15 (8, 15) 8 and 15 is pair factor of 120]
• 120/10 = 12 [ 10 × 12 (10, 12) 10 and 12 is pair factor of 120]
• 120/12 = 10 [ 12 × 10 (12, 10) 12 and 10 is pair factor of 120]
• 120/15 = 8 [ 15 × 8 (15, 8) 15 and 8 is pair factor of 120]
• 120/20 = 6 [ 20 × 6 (20, 6) 20 and 6 is pair factor of 120]
• 120/24 = 5 [ 24 × 5 (24, 5) 24 and 5 is pair factor of 120]
• 120/30 = 4 [ 30 × 4 (30, 4) 30 and 4 is pair factor of 120]
• 120/40 = 3 [ 40 × 3 (40, 3) 40 and 3 is pair factor of 120]
• 120/60 = 2 [ 60 × 2 (60, 2) 60 and 2 is pair factor of 120]
• 120/120 = 1 [ 120 × 1 (120, 1) 120 and 1 is pair factor of 120]

As we checked numbers between 1 to 120 that are not leaving any remainder, hence we can say factors of 120 is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.

Also note that, in exponential form prime factorization of 120 is written as 23 × 31 × 51 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 120. Let's check some other examples of factors.