What are the Factors of 465?

What are the Factors of 465?

The following are the different types of factors of 465:

• Factors of 465: 1, 3, 5, 15, 31, 93, 155, 465

• Negative Factors of 465: -1, -3, -5, -15, -31, -93, -155, -465

• Prime Factors of 465: 3, 5, 31

• Prime Factorization of 465: $3^1\times5^1\times31^1$

Factors by Division Method

To calculate the factors of 465, 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: 465 ÷ 3 = 155
Step 2: 155 ÷ 5 = 31
Step 3: 31 ÷ 31 = 1

In step 3, we have reached to 1, and so, the process is stopped.

• Prime Factors of 465: $3\times5\times31$

• Prime Factorization of 465: $3^1\times5^1\times31^1$

The factors will be all the multiples of 1, 3, 5, 31, 155, 465

Calculating all the factors:
3 = 1 x 3
5 = 1 x 5
15 = 1 x 3 x 5
31 = 1 x 31
93 = 3 x 31
155 = 1 x 155
465 = 1 x 465

Finally Factors of 465 = 1, 3, 5, 15, 31, 93, 155, 465