What are the Factors of 216?

What are the Factors of 216?

The following are the different types of factors of 216:

• Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

• Negative Factors of 216: -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -27, -36, -54, -72, -108, -216

• Prime Factors of 216: 2, 3

• Prime Factorization of 216: $2^3\times3^3$

Factors by Division Method

To calculate the factors of 216, 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: 216 ÷ 2 = 108
Step 2: 108 ÷ 2 = 54
Step 3: 54 ÷ 2 = 27
Step 4: 27 ÷ 3 = 9
Step 5: 9 ÷ 3 = 3
Step 6: 3 ÷ 3 = 1

In step 6, we have reached to 1, and so, the process is stopped.

• Prime Factors of 216: $2\times2\times2\times3\times3\times3$

• Prime Factorization of 216: $2^3\times3^3$

The factors will be all the multiples of 1, 2, 2, 2, 3, 3, 3, 9, 27, 54, 108, 216

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 = 2 x 9
24 = 1 x 2 x 2 x 2 x 3
27 = 1 x 27
36 = 2 x 2 x 9
54 = 1 x 54
72 = 1 x 2 x 2 x 2 x 3 x 3
108 = 1 x 108
216 = 1 x 216

Finally Factors of 216 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216