What are the Factors of 405?

What are the Factors of 405?

The following are the different types of factors of 405:

• Factors of 405: 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

• Negative Factors of 405: -1, -3, -5, -9, -15, -27, -45, -81, -135, -405

• Prime Factors of 405: 3, 5

• Prime Factorization of 405: $3^4\times5^1$

Factors by Division Method

To calculate the factors of 405, 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: 405 ÷ 3 = 135
Step 2: 135 ÷ 3 = 45
Step 3: 45 ÷ 3 = 15
Step 4: 15 ÷ 3 = 5
Step 5: 5 ÷ 5 = 1

In step 5, we have reached to 1, and so, the process is stopped.

• Prime Factors of 405: $3\times3\times3\times3\times5$

• Prime Factorization of 405: $3^4\times5^1$

The factors will be all the multiples of 1, 3, 3, 3, 3, 5, 15, 45, 135, 405

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
81 = 1 x 3 x 3 x 3 x 3
135 = 1 x 135
405 = 1 x 405

Finally Factors of 405 = 1, 3, 5, 9, 15, 27, 45, 81, 135, 405