# Prime factorization of 510

Here you will see step by step solution of prime factorization of 510, how to find factors of 510, you will see all factors of 510, how many factors of 510 has? Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510, we can see that 510 has 16 factor and sum of all factors is 1296.

• All Factors of 510: 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
• Prime Factors of 510: 2 × 3 × 5 × 17
• Prime Factorization of 510: 21 × 31 × 51 × 171
• Sum of Factors of 510: 1296
• Is 510 prime number: No

### How to find factors of 510 by Division Method?

To find the factors of 510 by division method, we need the find the all numbers between 1 to 510, which divide 510 with 0 remainder, then the number is factor of 510.

### Pair factors of 510

• 510/1 = 510 [ 1 × 510 (1, 510) 1 and 510 is pair factor of 510]
• 510/2 = 255 [ 2 × 255 (2, 255) 2 and 255 is pair factor of 510]
• 510/3 = 170 [ 3 × 170 (3, 170) 3 and 170 is pair factor of 510]
• 510/5 = 102 [ 5 × 102 (5, 102) 5 and 102 is pair factor of 510]
• 510/6 = 85 [ 6 × 85 (6, 85) 6 and 85 is pair factor of 510]
• 510/10 = 51 [ 10 × 51 (10, 51) 10 and 51 is pair factor of 510]
• 510/15 = 34 [ 15 × 34 (15, 34) 15 and 34 is pair factor of 510]
• 510/17 = 30 [ 17 × 30 (17, 30) 17 and 30 is pair factor of 510]
• 510/30 = 17 [ 30 × 17 (30, 17) 30 and 17 is pair factor of 510]
• 510/34 = 15 [ 34 × 15 (34, 15) 34 and 15 is pair factor of 510]
• 510/51 = 10 [ 51 × 10 (51, 10) 51 and 10 is pair factor of 510]
• 510/85 = 6 [ 85 × 6 (85, 6) 85 and 6 is pair factor of 510]
• 510/102 = 5 [ 102 × 5 (102, 5) 102 and 5 is pair factor of 510]
• 510/170 = 3 [ 170 × 3 (170, 3) 170 and 3 is pair factor of 510]
• 510/255 = 2 [ 255 × 2 (255, 2) 255 and 2 is pair factor of 510]
• 510/510 = 1 [ 510 × 1 (510, 1) 510 and 1 is pair factor of 510]

As we checked numbers between 1 to 510 that are not leaving any remainder, hence we can say factors of 510 is 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510.

Also note that, in exponential form prime factorization of 510 is written as 21 × 31 × 51 × 171 and it is a composite number.

#### Prime Factorization Calculator

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