What are the Factors of 135?

What are the Factors of 135?

The following are the different types of factors of 135:

• Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135

• Negative Factors of 135: -1, -3, -5, -9, -15, -27, -45, -135

• Prime Factors of 135: 3, 5

• Prime Factorization of 135: $3^3\times5^1$

Factors by Division Method

To calculate the factors of 135, 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: 135 ÷ 3 = 45
Step 2: 45 ÷ 3 = 15
Step 3: 15 ÷ 3 = 5
Step 4: 5 ÷ 5 = 1

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

• Prime Factors of 135: $3\times3\times3\times5$

• Prime Factorization of 135: $3^3\times5^1$

The factors will be all the multiples of 1, 3, 3, 3, 5, 15, 45, 135

Calculating all the factors:
3 = 1 x 3
5 = 1 x 5
9 = 1 x 3 x 3
15 = 1 x 15
27 = 1 x 3 x 3 x 3
45 = 1 x 45
135 = 1 x 135

Finally Factors of 135 = 1, 3, 5, 9, 15, 27, 45, 135