# Prime factorization of 460

Here you will see step by step solution of prime factorization of 460, how to find factors of 460, you will see all factors of 460, how many factors of 460 has? Factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460, we can see that 460 has 12 factor and sum of all factors is 1008.

• All Factors of 460: 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
• Prime Factors of 460: 2 × 2 × 5 × 23
• Prime Factorization of 460: 22 × 51 × 231
• Sum of Factors of 460: 1008
• Is 460 prime number: No

### How to find factors of 460 by Division Method?

To find the factors of 460 by division method, we need the find the all numbers between 1 to 460, which divide 460 with 0 remainder, then the number is factor of 460.

### Pair factors of 460

• 460/1 = 460 [ 1 × 460 (1, 460) 1 and 460 is pair factor of 460]
• 460/2 = 230 [ 2 × 230 (2, 230) 2 and 230 is pair factor of 460]
• 460/4 = 115 [ 4 × 115 (4, 115) 4 and 115 is pair factor of 460]
• 460/5 = 92 [ 5 × 92 (5, 92) 5 and 92 is pair factor of 460]
• 460/10 = 46 [ 10 × 46 (10, 46) 10 and 46 is pair factor of 460]
• 460/20 = 23 [ 20 × 23 (20, 23) 20 and 23 is pair factor of 460]
• 460/23 = 20 [ 23 × 20 (23, 20) 23 and 20 is pair factor of 460]
• 460/46 = 10 [ 46 × 10 (46, 10) 46 and 10 is pair factor of 460]
• 460/92 = 5 [ 92 × 5 (92, 5) 92 and 5 is pair factor of 460]
• 460/115 = 4 [ 115 × 4 (115, 4) 115 and 4 is pair factor of 460]
• 460/230 = 2 [ 230 × 2 (230, 2) 230 and 2 is pair factor of 460]
• 460/460 = 1 [ 460 × 1 (460, 1) 460 and 1 is pair factor of 460]

As we checked numbers between 1 to 460 that are not leaving any remainder, hence we can say factors of 460 is 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460.

Also note that, in exponential form prime factorization of 460 is written as 22 × 51 × 231 and it is a composite number.

#### Prime Factorization Calculator

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