# Prime factorization of 782

Here you will see step by step solution of prime factorization of 782, how to find factors of 782, you will see all factors of 782, how many factors of 782 has? Factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782, we can see that 782 has 8 factor and sum of all factors is 1296.

• All Factors of 782: 1, 2, 17, 23, 34, 46, 391, 782
• Prime Factors of 782: 2 × 17 × 23
• Prime Factorization of 782: 21 × 171 × 231
• Sum of Factors of 782: 1296
• Is 782 prime number: No

### How to find factors of 782 by Division Method?

To find the factors of 782 by division method, we need the find the all numbers between 1 to 782, which divide 782 with 0 remainder, then the number is factor of 782.

### Pair factors of 782

• 782/1 = 782 [ 1 × 782 (1, 782) 1 and 782 is pair factor of 782]
• 782/2 = 391 [ 2 × 391 (2, 391) 2 and 391 is pair factor of 782]
• 782/17 = 46 [ 17 × 46 (17, 46) 17 and 46 is pair factor of 782]
• 782/23 = 34 [ 23 × 34 (23, 34) 23 and 34 is pair factor of 782]
• 782/34 = 23 [ 34 × 23 (34, 23) 34 and 23 is pair factor of 782]
• 782/46 = 17 [ 46 × 17 (46, 17) 46 and 17 is pair factor of 782]
• 782/391 = 2 [ 391 × 2 (391, 2) 391 and 2 is pair factor of 782]
• 782/782 = 1 [ 782 × 1 (782, 1) 782 and 1 is pair factor of 782]

As we checked numbers between 1 to 782 that are not leaving any remainder, hence we can say factors of 782 is 1, 2, 17, 23, 34, 46, 391, 782.

Also note that, in exponential form prime factorization of 782 is written as 21 × 171 × 231 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 782. Let's check some other examples of factors.