What are the Factors of 72?

What are the Factors of 72?

The following are the different types of factors of 72:

• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

• Negative Factors of 72: -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36, -72

• Prime Factors of 72: 2, 3

• Prime Factorization of 72: $2^3\times3^2$

Factors by Division Method

To calculate the factors of 72, 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: 72 ÷ 2 = 36
Step 2: 36 ÷ 2 = 18
Step 3: 18 ÷ 2 = 9
Step 4: 9 ÷ 3 = 3
Step 5: 3 ÷ 3 = 1

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

• Prime Factors of 72: $2\times2\times2\times3\times3$

• Prime Factorization of 72: $2^3\times3^2$

The factors will be all the multiples of 1, 2, 2, 2, 3, 3, 9, 18, 36, 72

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
6 = 2 x 3
8 = 1 x 2 x 2 x 2
9 = 1 x 9
12 = 2 x 2 x 3
18 = 1 x 18
24 = 1 x 2 x 2 x 2 x 3
36 = 1 x 36
72 = 1 x 72

Finally Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72