# Prime factorization of 105

Here you will see step by step solution of prime factorization of 105, how to find factors of 105, you will see all factors of 105, how many factors of 105 has? Factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105, we can see that 105 has 8 factor and sum of all factors is 192.

• All Factors of 105: 1, 3, 5, 7, 15, 21, 35, 105
• Prime Factors of 105: 3 × 5 × 7
• Prime Factorization of 105: 31 × 51 × 71
• Sum of Factors of 105: 192
• Is 105 prime number: No

### How to find factors of 105 by Division Method?

To find the factors of 105 by division method, we need the find the all numbers between 1 to 105, which divide 105 with 0 remainder, then the number is factor of 105.

### Pair factors of 105

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

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

Also note that, in exponential form prime factorization of 105 is written as 31 × 51 × 71 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 105. Let's check some other examples of factors.