What are the Factors of 126?

What are the Factors of 126?

The following are the different types of factors of 126:

• Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

• Negative Factors of 126: -1, -2, -3, -6, -7, -9, -14, -18, -21, -42, -63, -126

• Prime Factors of 126: 2, 3, 7

• Prime Factorization of 126: $2^1\times3^2\times7^1$

Factors by Division Method

To calculate the factors of 126, 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: 126 ÷ 2 = 63
Step 2: 63 ÷ 3 = 21
Step 3: 21 ÷ 3 = 7
Step 4: 7 ÷ 7 = 1

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

• Prime Factors of 126: $2\times3\times3\times7$

• Prime Factorization of 126: $2^1\times3^2\times7^1$

The factors will be all the multiples of 1, 2, 3, 3, 7, 21, 63, 126

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
6 = 1 x 2 x 3
7 = 1 x 7
9 = 3 x 3
14 = 2 x 7
18 = 1 x 2 x 3 x 3
21 = 1 x 21
42 = 2 x 21
63 = 1 x 63
126 = 1 x 126

Finally Factors of 126 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126