# Prime factorization of 441

Here you will see step by step solution of prime factorization of 441, how to find factors of 441, you will see all factors of 441, how many factors of 441 has? Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441, we can see that 441 has 9 factor and sum of all factors is 741.

• All Factors of 441: 1, 3, 7, 9, 21, 49, 63, 147, 441
• Prime Factors of 441: 3 × 3 × 7 × 7
• Prime Factorization of 441: 32 × 72
• Sum of Factors of 441: 741
• Is 441 prime number: No

### How to find factors of 441 by Division Method?

To find the factors of 441 by division method, we need the find the all numbers between 1 to 441, which divide 441 with 0 remainder, then the number is factor of 441.

### Pair factors of 441

• 441/1 = 441 [ 1 × 441 (1, 441) 1 and 441 is pair factor of 441]
• 441/3 = 147 [ 3 × 147 (3, 147) 3 and 147 is pair factor of 441]
• 441/7 = 63 [ 7 × 63 (7, 63) 7 and 63 is pair factor of 441]
• 441/9 = 49 [ 9 × 49 (9, 49) 9 and 49 is pair factor of 441]
• 441/21 = 21 [ 21 × 21 (21, 21) 21 and 21 is pair factor of 441]
• 441/49 = 9 [ 49 × 9 (49, 9) 49 and 9 is pair factor of 441]
• 441/63 = 7 [ 63 × 7 (63, 7) 63 and 7 is pair factor of 441]
• 441/147 = 3 [ 147 × 3 (147, 3) 147 and 3 is pair factor of 441]
• 441/441 = 1 [ 441 × 1 (441, 1) 441 and 1 is pair factor of 441]

As we checked numbers between 1 to 441 that are not leaving any remainder, hence we can say factors of 441 is 1, 3, 7, 9, 21, 49, 63, 147, 441.

Also note that, in exponential form prime factorization of 441 is written as 32 × 72 and it is a composite number.

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