# Prime factorization of 390

Here you will see step by step solution of prime factorization of 390, how to find factors of 390, you will see all factors of 390, how many factors of 390 has? Factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390, we can see that 390 has 16 factor and sum of all factors is 1008.

• All Factors of 390: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
• Prime Factors of 390: 2 × 3 × 5 × 13
• Prime Factorization of 390: 21 × 31 × 51 × 131
• Sum of Factors of 390: 1008
• Is 390 prime number: No

### How to find factors of 390 by Division Method?

To find the factors of 390 by division method, we need the find the all numbers between 1 to 390, which divide 390 with 0 remainder, then the number is factor of 390.

### Pair factors of 390

• 390/1 = 390 [ 1 × 390 (1, 390) 1 and 390 is pair factor of 390]
• 390/2 = 195 [ 2 × 195 (2, 195) 2 and 195 is pair factor of 390]
• 390/3 = 130 [ 3 × 130 (3, 130) 3 and 130 is pair factor of 390]
• 390/5 = 78 [ 5 × 78 (5, 78) 5 and 78 is pair factor of 390]
• 390/6 = 65 [ 6 × 65 (6, 65) 6 and 65 is pair factor of 390]
• 390/10 = 39 [ 10 × 39 (10, 39) 10 and 39 is pair factor of 390]
• 390/13 = 30 [ 13 × 30 (13, 30) 13 and 30 is pair factor of 390]
• 390/15 = 26 [ 15 × 26 (15, 26) 15 and 26 is pair factor of 390]
• 390/26 = 15 [ 26 × 15 (26, 15) 26 and 15 is pair factor of 390]
• 390/30 = 13 [ 30 × 13 (30, 13) 30 and 13 is pair factor of 390]
• 390/39 = 10 [ 39 × 10 (39, 10) 39 and 10 is pair factor of 390]
• 390/65 = 6 [ 65 × 6 (65, 6) 65 and 6 is pair factor of 390]
• 390/78 = 5 [ 78 × 5 (78, 5) 78 and 5 is pair factor of 390]
• 390/130 = 3 [ 130 × 3 (130, 3) 130 and 3 is pair factor of 390]
• 390/195 = 2 [ 195 × 2 (195, 2) 195 and 2 is pair factor of 390]
• 390/390 = 1 [ 390 × 1 (390, 1) 390 and 1 is pair factor of 390]

As we checked numbers between 1 to 390 that are not leaving any remainder, hence we can say factors of 390 is 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390.

Also note that, in exponential form prime factorization of 390 is written as 21 × 31 × 51 × 131 and it is a composite number.

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