What are the Factors of 315?

What are the Factors of 315?

The following are the different types of factors of 315:

• Factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

• Negative Factors of 315: -1, -3, -5, -7, -9, -15, -21, -35, -45, -63, -105, -315

• Prime Factors of 315: 3, 5, 7

• Prime Factorization of 315: $3^2\times5^1\times7^1$

Factors by Division Method

To calculate the factors of 315, start by dividing the numbers by the smallest prime number, which is 2. If the number is not divisible by 2, proceed to the next prime number, such as 3, 5, 7, 11, 13, and continue this process until you reach 1.

Step 1: 315 ÷ 3 = 105
Step 2: 105 ÷ 3 = 35
Step 3: 35 ÷ 5 = 7
Step 4: 7 ÷ 7 = 1

In step 4, we have reached to 1, and so, the process is stopped.

• Prime Factors of 315: $3\times3\times5\times7$

• Prime Factorization of 315: $3^2\times5^1\times7^1$

The factors will be all the multiples of 1, 3, 3, 5, 7, 35, 105, 315

Calculating all the factors:
3 = 1 x 3
5 = 1 x 5
7 = 1 x 7
9 = 1 x 3 x 3
15 = 3 x 5
21 = 3 x 7
35 = 1 x 35
45 = 1 x 3 x 3 x 5
63 = 3 x 3 x 7
105 = 1 x 105
315 = 1 x 315

Finally Factors of 315 = 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315