What are the Factors of 462?

What are the Factors of 462?

The following are the different types of factors of 462:

• Factors of 462: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

• Negative Factors of 462: -1, -2, -3, -6, -7, -11, -14, -21, -22, -33, -42, -66, -77, -154, -231, -462

• Prime Factors of 462: 2, 3, 7, 11

• Prime Factorization of 462: $2^1\times3^1\times7^1\times11^1$

Factors by Division Method

To calculate the factors of 462, 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: 462 ÷ 2 = 231
Step 2: 231 ÷ 3 = 77
Step 3: 77 ÷ 7 = 11
Step 4: 11 ÷ 11 = 1

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

• Prime Factors of 462: $2\times3\times7\times11$

• Prime Factorization of 462: $2^1\times3^1\times7^1\times11^1$

The factors will be all the multiples of 1, 2, 3, 7, 11, 77, 231, 462

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
6 = 1 x 2 x 3
7 = 1 x 7
11 = 1 x 11
14 = 2 x 7
21 = 3 x 7
22 = 2 x 11
33 = 3 x 11
42 = 1 x 2 x 3 x 7
66 = 2 x 3 x 11
77 = 1 x 77
154 = 2 x 77
231 = 1 x 231
462 = 1 x 462

Finally Factors of 462 = 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462