What are the Factors of 132?

What are the Factors of 132?

The following are the different types of factors of 132:

• Factors of 132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

• Negative Factors of 132: -1, -2, -3, -4, -6, -11, -12, -22, -33, -44, -66, -132

• Prime Factors of 132: 2, 3, 11

• Prime Factorization of 132: $2^2\times3^1\times11^1$

Factors by Division Method

To calculate the factors of 132, 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: 132 ÷ 2 = 66
Step 2: 66 ÷ 2 = 33
Step 3: 33 ÷ 3 = 11
Step 4: 11 ÷ 11 = 1

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

• Prime Factors of 132: $2\times2\times3\times11$

• Prime Factorization of 132: $2^2\times3^1\times11^1$

The factors will be all the multiples of 1, 2, 2, 3, 11, 33, 66, 132

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
6 = 2 x 3
11 = 1 x 11
12 = 1 x 2 x 2 x 3
22 = 2 x 11
33 = 1 x 33
44 = 2 x 2 x 11
66 = 1 x 66
132 = 1 x 132

Finally Factors of 132 = 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132