# Prime factorization of 385

Here you will see step by step solution of prime factorization of 385, how to find factors of 385, you will see all factors of 385, how many factors of 385 has? Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385, we can see that 385 has 8 factor and sum of all factors is 576.

• All Factors of 385: 1, 5, 7, 11, 35, 55, 77, 385
• Prime Factors of 385: 5 × 7 × 11
• Prime Factorization of 385: 51 × 71 × 111
• Sum of Factors of 385: 576
• Is 385 prime number: No

### How to find factors of 385 by Division Method?

To find the factors of 385 by division method, we need the find the all numbers between 1 to 385, which divide 385 with 0 remainder, then the number is factor of 385.

### Pair factors of 385

• 385/1 = 385 [ 1 × 385 (1, 385) 1 and 385 is pair factor of 385]
• 385/5 = 77 [ 5 × 77 (5, 77) 5 and 77 is pair factor of 385]
• 385/7 = 55 [ 7 × 55 (7, 55) 7 and 55 is pair factor of 385]
• 385/11 = 35 [ 11 × 35 (11, 35) 11 and 35 is pair factor of 385]
• 385/35 = 11 [ 35 × 11 (35, 11) 35 and 11 is pair factor of 385]
• 385/55 = 7 [ 55 × 7 (55, 7) 55 and 7 is pair factor of 385]
• 385/77 = 5 [ 77 × 5 (77, 5) 77 and 5 is pair factor of 385]
• 385/385 = 1 [ 385 × 1 (385, 1) 385 and 1 is pair factor of 385]

As we checked numbers between 1 to 385 that are not leaving any remainder, hence we can say factors of 385 is 1, 5, 7, 11, 35, 55, 77, 385.

Also note that, in exponential form prime factorization of 385 is written as 51 × 71 × 111 and it is a composite number.

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