# Prime factorization of 465

Here you will see step by step solution of prime factorization of 465, how to find factors of 465, you will see all factors of 465, how many factors of 465 has? Factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465, we can see that 465 has 8 factor and sum of all factors is 768.

• All Factors of 465: 1, 3, 5, 15, 31, 93, 155, 465
• Prime Factors of 465: 3 × 5 × 31
• Prime Factorization of 465: 31 × 51 × 311
• Sum of Factors of 465: 768
• Is 465 prime number: No

### How to find factors of 465 by Division Method?

To find the factors of 465 by division method, we need the find the all numbers between 1 to 465, which divide 465 with 0 remainder, then the number is factor of 465.

### Pair factors of 465

• 465/1 = 465 [ 1 × 465 (1, 465) 1 and 465 is pair factor of 465]
• 465/3 = 155 [ 3 × 155 (3, 155) 3 and 155 is pair factor of 465]
• 465/5 = 93 [ 5 × 93 (5, 93) 5 and 93 is pair factor of 465]
• 465/15 = 31 [ 15 × 31 (15, 31) 15 and 31 is pair factor of 465]
• 465/31 = 15 [ 31 × 15 (31, 15) 31 and 15 is pair factor of 465]
• 465/93 = 5 [ 93 × 5 (93, 5) 93 and 5 is pair factor of 465]
• 465/155 = 3 [ 155 × 3 (155, 3) 155 and 3 is pair factor of 465]
• 465/465 = 1 [ 465 × 1 (465, 1) 465 and 1 is pair factor of 465]

As we checked numbers between 1 to 465 that are not leaving any remainder, hence we can say factors of 465 is 1, 3, 5, 15, 31, 93, 155, 465.

Also note that, in exponential form prime factorization of 465 is written as 31 × 51 × 311 and it is a composite number.

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