# Prime factorization of 735

Here you will see step by step solution of prime factorization of 735, how to find factors of 735, you will see all factors of 735, how many factors of 735 has? Factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735, we can see that 735 has 12 factor and sum of all factors is 1368.

• All Factors of 735: 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
• Prime Factors of 735: 3 × 5 × 7 × 7
• Prime Factorization of 735: 31 × 51 × 72
• Sum of Factors of 735: 1368
• Is 735 prime number: No

### How to find factors of 735 by Division Method?

To find the factors of 735 by division method, we need the find the all numbers between 1 to 735, which divide 735 with 0 remainder, then the number is factor of 735.

### Pair factors of 735

• 735/1 = 735 [ 1 × 735 (1, 735) 1 and 735 is pair factor of 735]
• 735/3 = 245 [ 3 × 245 (3, 245) 3 and 245 is pair factor of 735]
• 735/5 = 147 [ 5 × 147 (5, 147) 5 and 147 is pair factor of 735]
• 735/7 = 105 [ 7 × 105 (7, 105) 7 and 105 is pair factor of 735]
• 735/15 = 49 [ 15 × 49 (15, 49) 15 and 49 is pair factor of 735]
• 735/21 = 35 [ 21 × 35 (21, 35) 21 and 35 is pair factor of 735]
• 735/35 = 21 [ 35 × 21 (35, 21) 35 and 21 is pair factor of 735]
• 735/49 = 15 [ 49 × 15 (49, 15) 49 and 15 is pair factor of 735]
• 735/105 = 7 [ 105 × 7 (105, 7) 105 and 7 is pair factor of 735]
• 735/147 = 5 [ 147 × 5 (147, 5) 147 and 5 is pair factor of 735]
• 735/245 = 3 [ 245 × 3 (245, 3) 245 and 3 is pair factor of 735]
• 735/735 = 1 [ 735 × 1 (735, 1) 735 and 1 is pair factor of 735]

As we checked numbers between 1 to 735 that are not leaving any remainder, hence we can say factors of 735 is 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735.

Also note that, in exponential form prime factorization of 735 is written as 31 × 51 × 72 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 735. Let's check some other examples of factors.