# Prime factorization of 72

Here you will see step by step solution of prime factorization of 72, how to find factors of 72, you will see all factors of 72, how many factors of 72 has? Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, we can see that 72 has 12 factor and sum of all factors is 195.

• All Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Prime Factors of 72: 2 × 2 × 2 × 3 × 3
• Prime Factorization of 72: 23 × 32
• Sum of Factors of 72: 195
• Is 72 prime number: No

### How to find factors of 72 by Division Method?

To find the factors of 72 by division method, we need the find the all numbers between 1 to 72, which divide 72 with 0 remainder, then the number is factor of 72.

### Pair factors of 72

• 72/1 = 72 [ 1 × 72 (1, 72) 1 and 72 is pair factor of 72]
• 72/2 = 36 [ 2 × 36 (2, 36) 2 and 36 is pair factor of 72]
• 72/3 = 24 [ 3 × 24 (3, 24) 3 and 24 is pair factor of 72]
• 72/4 = 18 [ 4 × 18 (4, 18) 4 and 18 is pair factor of 72]
• 72/6 = 12 [ 6 × 12 (6, 12) 6 and 12 is pair factor of 72]
• 72/8 = 9 [ 8 × 9 (8, 9) 8 and 9 is pair factor of 72]
• 72/9 = 8 [ 9 × 8 (9, 8) 9 and 8 is pair factor of 72]
• 72/12 = 6 [ 12 × 6 (12, 6) 12 and 6 is pair factor of 72]
• 72/18 = 4 [ 18 × 4 (18, 4) 18 and 4 is pair factor of 72]
• 72/24 = 3 [ 24 × 3 (24, 3) 24 and 3 is pair factor of 72]
• 72/36 = 2 [ 36 × 2 (36, 2) 36 and 2 is pair factor of 72]
• 72/72 = 1 [ 72 × 1 (72, 1) 72 and 1 is pair factor of 72]

As we checked numbers between 1 to 72 that are not leaving any remainder, hence we can say factors of 72 is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

Also note that, in exponential form prime factorization of 72 is written as 23 × 32 and it is a composite number.

#### Prime Factorization Calculator

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