What are the Factors of 252?

What are the Factors of 252?

The following are the different types of factors of 252:

• Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

• Negative Factors of 252: -1, -2, -3, -4, -6, -7, -9, -12, -14, -18, -21, -28, -36, -42, -63, -84, -126, -252

• Prime Factors of 252: 2, 3, 7

• Prime Factorization of 252: $2^2\times3^2\times7^1$

Factors by Division Method

To calculate the factors of 252, 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: 252 ÷ 2 = 126
Step 2: 126 ÷ 2 = 63
Step 3: 63 ÷ 3 = 21
Step 4: 21 ÷ 3 = 7
Step 5: 7 ÷ 7 = 1

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

• Prime Factors of 252: $2\times2\times3\times3\times7$

• Prime Factorization of 252: $2^2\times3^2\times7^1$

The factors will be all the multiples of 1, 2, 2, 3, 3, 7, 21, 63, 126, 252

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
6 = 2 x 3
7 = 1 x 7
9 = 3 x 3
12 = 1 x 2 x 2 x 3
14 = 2 x 7
21 = 1 x 21
28 = 2 x 2 x 7
36 = 1 x 2 x 2 x 3 x 3
42 = 2 x 21
63 = 1 x 63
84 = 2 x 2 x 3 x 7
126 = 1 x 126
252 = 1 x 252

Finally Factors of 252 = 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252