What are the Factors of 288?

What are the Factors of 288?

The following are the different types of factors of 288:

• Factors of 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

• Negative Factors of 288: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -72, -96, -144, -288

• Prime Factors of 288: 2, 3

• Prime Factorization of 288: $2^5\times3^2$

Factors by Division Method

To calculate the factors of 288, 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: 288 ÷ 2 = 144
Step 2: 144 ÷ 2 = 72
Step 3: 72 ÷ 2 = 36
Step 4: 36 ÷ 2 = 18
Step 5: 18 ÷ 2 = 9
Step 6: 9 ÷ 3 = 3
Step 7: 3 ÷ 3 = 1

In step 7, we have reached to 1, and so, the process is stopped.

• Prime Factors of 288: $2\times2\times2\times2\times2\times3\times3$

• Prime Factorization of 288: $2^5\times3^2$

The factors will be all the multiples of 1, 2, 2, 2, 2, 2, 3, 3, 9, 18, 36, 72, 144, 288

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
16 = 1 x 2 x 2 x 2 x 2
18 = 1 x 18
24 = 2 x 2 x 2 x 3
32 = 1 x 2 x 2 x 2 x 2 x 2
36 = 1 x 36
48 = 2 x 2 x 2 x 2 x 3
72 = 1 x 72
96 = 1 x 2 x 2 x 2 x 2 x 2 x 3
144 = 1 x 144
288 = 1 x 288

Finally Factors of 288 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288