# Prime factorization of 506

Here you will see step by step solution of prime factorization of 506, how to find factors of 506, you will see all factors of 506, how many factors of 506 has? Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506, we can see that 506 has 8 factor and sum of all factors is 864.

• All Factors of 506: 1, 2, 11, 22, 23, 46, 253, 506
• Prime Factors of 506: 2 × 11 × 23
• Prime Factorization of 506: 21 × 111 × 231
• Sum of Factors of 506: 864
• Is 506 prime number: No

### How to find factors of 506 by Division Method?

To find the factors of 506 by division method, we need the find the all numbers between 1 to 506, which divide 506 with 0 remainder, then the number is factor of 506.

### Pair factors of 506

• 506/1 = 506 [ 1 × 506 (1, 506) 1 and 506 is pair factor of 506]
• 506/2 = 253 [ 2 × 253 (2, 253) 2 and 253 is pair factor of 506]
• 506/11 = 46 [ 11 × 46 (11, 46) 11 and 46 is pair factor of 506]
• 506/22 = 23 [ 22 × 23 (22, 23) 22 and 23 is pair factor of 506]
• 506/23 = 22 [ 23 × 22 (23, 22) 23 and 22 is pair factor of 506]
• 506/46 = 11 [ 46 × 11 (46, 11) 46 and 11 is pair factor of 506]
• 506/253 = 2 [ 253 × 2 (253, 2) 253 and 2 is pair factor of 506]
• 506/506 = 1 [ 506 × 1 (506, 1) 506 and 1 is pair factor of 506]

As we checked numbers between 1 to 506 that are not leaving any remainder, hence we can say factors of 506 is 1, 2, 11, 22, 23, 46, 253, 506.

Also note that, in exponential form prime factorization of 506 is written as 21 × 111 × 231 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 506. Let's check some other examples of factors.