# Prime factorization of 588

Here you will see step by step solution of prime factorization of 588, how to find factors of 588, you will see all factors of 588, how many factors of 588 has? Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588, we can see that 588 has 18 factor and sum of all factors is 1596.

• All Factors of 588: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
• Prime Factors of 588: 2 × 2 × 3 × 7 × 7
• Prime Factorization of 588: 22 × 31 × 72
• Sum of Factors of 588: 1596
• Is 588 prime number: No

### How to find factors of 588 by Division Method?

To find the factors of 588 by division method, we need the find the all numbers between 1 to 588, which divide 588 with 0 remainder, then the number is factor of 588.

### Pair factors of 588

• 588/1 = 588 [ 1 × 588 (1, 588) 1 and 588 is pair factor of 588]
• 588/2 = 294 [ 2 × 294 (2, 294) 2 and 294 is pair factor of 588]
• 588/3 = 196 [ 3 × 196 (3, 196) 3 and 196 is pair factor of 588]
• 588/4 = 147 [ 4 × 147 (4, 147) 4 and 147 is pair factor of 588]
• 588/6 = 98 [ 6 × 98 (6, 98) 6 and 98 is pair factor of 588]
• 588/7 = 84 [ 7 × 84 (7, 84) 7 and 84 is pair factor of 588]
• 588/12 = 49 [ 12 × 49 (12, 49) 12 and 49 is pair factor of 588]
• 588/14 = 42 [ 14 × 42 (14, 42) 14 and 42 is pair factor of 588]
• 588/21 = 28 [ 21 × 28 (21, 28) 21 and 28 is pair factor of 588]
• 588/28 = 21 [ 28 × 21 (28, 21) 28 and 21 is pair factor of 588]
• 588/42 = 14 [ 42 × 14 (42, 14) 42 and 14 is pair factor of 588]
• 588/49 = 12 [ 49 × 12 (49, 12) 49 and 12 is pair factor of 588]
• 588/84 = 7 [ 84 × 7 (84, 7) 84 and 7 is pair factor of 588]
• 588/98 = 6 [ 98 × 6 (98, 6) 98 and 6 is pair factor of 588]
• 588/147 = 4 [ 147 × 4 (147, 4) 147 and 4 is pair factor of 588]
• 588/196 = 3 [ 196 × 3 (196, 3) 196 and 3 is pair factor of 588]
• 588/294 = 2 [ 294 × 2 (294, 2) 294 and 2 is pair factor of 588]
• 588/588 = 1 [ 588 × 1 (588, 1) 588 and 1 is pair factor of 588]

As we checked numbers between 1 to 588 that are not leaving any remainder, hence we can say factors of 588 is 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588.

Also note that, in exponential form prime factorization of 588 is written as 22 × 31 × 72 and it is a composite number.

#### Prime Factorization Calculator

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