# Prime factorization of 480

Here you will see step by step solution of prime factorization of 480, how to find factors of 480, you will see all factors of 480, how many factors of 480 has? Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480, we can see that 480 has 24 factor and sum of all factors is 1512.

• All Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
• Prime Factors of 480: 2 × 2 × 2 × 2 × 2 × 3 × 5
• Prime Factorization of 480: 25 × 31 × 51
• Sum of Factors of 480: 1512
• Is 480 prime number: No

### How to find factors of 480 by Division Method?

To find the factors of 480 by division method, we need the find the all numbers between 1 to 480, which divide 480 with 0 remainder, then the number is factor of 480.

### Pair factors of 480

• 480/1 = 480 [ 1 × 480 (1, 480) 1 and 480 is pair factor of 480]
• 480/2 = 240 [ 2 × 240 (2, 240) 2 and 240 is pair factor of 480]
• 480/3 = 160 [ 3 × 160 (3, 160) 3 and 160 is pair factor of 480]
• 480/4 = 120 [ 4 × 120 (4, 120) 4 and 120 is pair factor of 480]
• 480/5 = 96 [ 5 × 96 (5, 96) 5 and 96 is pair factor of 480]
• 480/6 = 80 [ 6 × 80 (6, 80) 6 and 80 is pair factor of 480]
• 480/8 = 60 [ 8 × 60 (8, 60) 8 and 60 is pair factor of 480]
• 480/10 = 48 [ 10 × 48 (10, 48) 10 and 48 is pair factor of 480]
• 480/12 = 40 [ 12 × 40 (12, 40) 12 and 40 is pair factor of 480]
• 480/15 = 32 [ 15 × 32 (15, 32) 15 and 32 is pair factor of 480]
• 480/16 = 30 [ 16 × 30 (16, 30) 16 and 30 is pair factor of 480]
• 480/20 = 24 [ 20 × 24 (20, 24) 20 and 24 is pair factor of 480]
• 480/24 = 20 [ 24 × 20 (24, 20) 24 and 20 is pair factor of 480]
• 480/30 = 16 [ 30 × 16 (30, 16) 30 and 16 is pair factor of 480]
• 480/32 = 15 [ 32 × 15 (32, 15) 32 and 15 is pair factor of 480]
• 480/40 = 12 [ 40 × 12 (40, 12) 40 and 12 is pair factor of 480]
• 480/48 = 10 [ 48 × 10 (48, 10) 48 and 10 is pair factor of 480]
• 480/60 = 8 [ 60 × 8 (60, 8) 60 and 8 is pair factor of 480]
• 480/80 = 6 [ 80 × 6 (80, 6) 80 and 6 is pair factor of 480]
• 480/96 = 5 [ 96 × 5 (96, 5) 96 and 5 is pair factor of 480]
• 480/120 = 4 [ 120 × 4 (120, 4) 120 and 4 is pair factor of 480]
• 480/160 = 3 [ 160 × 3 (160, 3) 160 and 3 is pair factor of 480]
• 480/240 = 2 [ 240 × 2 (240, 2) 240 and 2 is pair factor of 480]
• 480/480 = 1 [ 480 × 1 (480, 1) 480 and 1 is pair factor of 480]

As we checked numbers between 1 to 480 that are not leaving any remainder, hence we can say factors of 480 is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.

Also note that, in exponential form prime factorization of 480 is written as 25 × 31 × 51 and it is a composite number.

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