# Prime factorization of 360

Here you will see step by step solution of prime factorization of 360, how to find factors of 360, you will see all factors of 360, how many factors of 360 has? Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360, we can see that 360 has 24 factor and sum of all factors is 1170.

• All Factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
• Prime Factors of 360: 2 × 2 × 2 × 3 × 3 × 5
• Prime Factorization of 360: 23 × 32 × 51
• Sum of Factors of 360: 1170
• Is 360 prime number: No

### How to find factors of 360 by Division Method?

To find the factors of 360 by division method, we need the find the all numbers between 1 to 360, which divide 360 with 0 remainder, then the number is factor of 360.

### Pair factors of 360

• 360/1 = 360 [ 1 × 360 (1, 360) 1 and 360 is pair factor of 360]
• 360/2 = 180 [ 2 × 180 (2, 180) 2 and 180 is pair factor of 360]
• 360/3 = 120 [ 3 × 120 (3, 120) 3 and 120 is pair factor of 360]
• 360/4 = 90 [ 4 × 90 (4, 90) 4 and 90 is pair factor of 360]
• 360/5 = 72 [ 5 × 72 (5, 72) 5 and 72 is pair factor of 360]
• 360/6 = 60 [ 6 × 60 (6, 60) 6 and 60 is pair factor of 360]
• 360/8 = 45 [ 8 × 45 (8, 45) 8 and 45 is pair factor of 360]
• 360/9 = 40 [ 9 × 40 (9, 40) 9 and 40 is pair factor of 360]
• 360/10 = 36 [ 10 × 36 (10, 36) 10 and 36 is pair factor of 360]
• 360/12 = 30 [ 12 × 30 (12, 30) 12 and 30 is pair factor of 360]
• 360/15 = 24 [ 15 × 24 (15, 24) 15 and 24 is pair factor of 360]
• 360/18 = 20 [ 18 × 20 (18, 20) 18 and 20 is pair factor of 360]
• 360/20 = 18 [ 20 × 18 (20, 18) 20 and 18 is pair factor of 360]
• 360/24 = 15 [ 24 × 15 (24, 15) 24 and 15 is pair factor of 360]
• 360/30 = 12 [ 30 × 12 (30, 12) 30 and 12 is pair factor of 360]
• 360/36 = 10 [ 36 × 10 (36, 10) 36 and 10 is pair factor of 360]
• 360/40 = 9 [ 40 × 9 (40, 9) 40 and 9 is pair factor of 360]
• 360/45 = 8 [ 45 × 8 (45, 8) 45 and 8 is pair factor of 360]
• 360/60 = 6 [ 60 × 6 (60, 6) 60 and 6 is pair factor of 360]
• 360/72 = 5 [ 72 × 5 (72, 5) 72 and 5 is pair factor of 360]
• 360/90 = 4 [ 90 × 4 (90, 4) 90 and 4 is pair factor of 360]
• 360/120 = 3 [ 120 × 3 (120, 3) 120 and 3 is pair factor of 360]
• 360/180 = 2 [ 180 × 2 (180, 2) 180 and 2 is pair factor of 360]
• 360/360 = 1 [ 360 × 1 (360, 1) 360 and 1 is pair factor of 360]

As we checked numbers between 1 to 360 that are not leaving any remainder, hence we can say factors of 360 is 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360.

Also note that, in exponential form prime factorization of 360 is written as 23 × 32 × 51 and it is a composite number.

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