# Prime factorization of 772

Here you will see step by step solution of prime factorization of 772, how to find factors of 772, you will see all factors of 772, how many factors of 772 has? Factors of 772 are 1, 2, 4, 193, 386, 772, we can see that 772 has 6 factor and sum of all factors is 1358.

• All Factors of 772: 1, 2, 4, 193, 386, 772
• Prime Factors of 772: 2 × 2 × 193
• Prime Factorization of 772: 22 × 1931
• Sum of Factors of 772: 1358
• Is 772 prime number: No

### How to find factors of 772 by Division Method?

To find the factors of 772 by division method, we need the find the all numbers between 1 to 772, which divide 772 with 0 remainder, then the number is factor of 772.

### Pair factors of 772

• 772/1 = 772 [ 1 × 772 (1, 772) 1 and 772 is pair factor of 772]
• 772/2 = 386 [ 2 × 386 (2, 386) 2 and 386 is pair factor of 772]
• 772/4 = 193 [ 4 × 193 (4, 193) 4 and 193 is pair factor of 772]
• 772/193 = 4 [ 193 × 4 (193, 4) 193 and 4 is pair factor of 772]
• 772/386 = 2 [ 386 × 2 (386, 2) 386 and 2 is pair factor of 772]
• 772/772 = 1 [ 772 × 1 (772, 1) 772 and 1 is pair factor of 772]

As we checked numbers between 1 to 772 that are not leaving any remainder, hence we can say factors of 772 is 1, 2, 4, 193, 386, 772.

Also note that, in exponential form prime factorization of 772 is written as 22 × 1931 and it is a composite number.

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