# Prime factorization of 728

Here you will see step by step solution of prime factorization of 728, how to find factors of 728, you will see all factors of 728, how many factors of 728 has? Factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728, we can see that 728 has 16 factor and sum of all factors is 1680.

• All Factors of 728: 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
• Prime Factors of 728: 2 × 2 × 2 × 7 × 13
• Prime Factorization of 728: 23 × 71 × 131
• Sum of Factors of 728: 1680
• Is 728 prime number: No

### How to find factors of 728 by Division Method?

To find the factors of 728 by division method, we need the find the all numbers between 1 to 728, which divide 728 with 0 remainder, then the number is factor of 728.

### Pair factors of 728

• 728/1 = 728 [ 1 × 728 (1, 728) 1 and 728 is pair factor of 728]
• 728/2 = 364 [ 2 × 364 (2, 364) 2 and 364 is pair factor of 728]
• 728/4 = 182 [ 4 × 182 (4, 182) 4 and 182 is pair factor of 728]
• 728/7 = 104 [ 7 × 104 (7, 104) 7 and 104 is pair factor of 728]
• 728/8 = 91 [ 8 × 91 (8, 91) 8 and 91 is pair factor of 728]
• 728/13 = 56 [ 13 × 56 (13, 56) 13 and 56 is pair factor of 728]
• 728/14 = 52 [ 14 × 52 (14, 52) 14 and 52 is pair factor of 728]
• 728/26 = 28 [ 26 × 28 (26, 28) 26 and 28 is pair factor of 728]
• 728/28 = 26 [ 28 × 26 (28, 26) 28 and 26 is pair factor of 728]
• 728/52 = 14 [ 52 × 14 (52, 14) 52 and 14 is pair factor of 728]
• 728/56 = 13 [ 56 × 13 (56, 13) 56 and 13 is pair factor of 728]
• 728/91 = 8 [ 91 × 8 (91, 8) 91 and 8 is pair factor of 728]
• 728/104 = 7 [ 104 × 7 (104, 7) 104 and 7 is pair factor of 728]
• 728/182 = 4 [ 182 × 4 (182, 4) 182 and 4 is pair factor of 728]
• 728/364 = 2 [ 364 × 2 (364, 2) 364 and 2 is pair factor of 728]
• 728/728 = 1 [ 728 × 1 (728, 1) 728 and 1 is pair factor of 728]

As we checked numbers between 1 to 728 that are not leaving any remainder, hence we can say factors of 728 is 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728.

Also note that, in exponential form prime factorization of 728 is written as 23 × 71 × 131 and it is a composite number.

#### Prime Factorization Calculator

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