What are the Factors of 396?

What are the Factors of 396?

The following are the different types of factors of 396:

• Factors of 396: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

• Negative Factors of 396: -1, -2, -3, -4, -6, -9, -11, -12, -18, -22, -33, -36, -44, -66, -99, -132, -198, -396

• Prime Factors of 396: 2, 3, 11

• Prime Factorization of 396: $2^2\times3^2\times11^1$

Factors by Division Method

To calculate the factors of 396, 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: 396 ÷ 2 = 198
Step 2: 198 ÷ 2 = 99
Step 3: 99 ÷ 3 = 33
Step 4: 33 ÷ 3 = 11
Step 5: 11 ÷ 11 = 1

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

• Prime Factors of 396: $2\times2\times3\times3\times11$

• Prime Factorization of 396: $2^2\times3^2\times11^1$

The factors will be all the multiples of 1, 2, 2, 3, 3, 11, 33, 99, 198, 396

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
6 = 2 x 3
9 = 3 x 3
11 = 1 x 11
12 = 1 x 2 x 2 x 3
22 = 2 x 11
33 = 1 x 33
36 = 1 x 2 x 2 x 3 x 3
44 = 2 x 2 x 11
66 = 2 x 33
99 = 1 x 99
132 = 2 x 2 x 3 x 11
198 = 1 x 198
396 = 1 x 396

Finally Factors of 396 = 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396