What are the Factors of 384?

What are the Factors of 384?

The following are the different types of factors of 384:

• Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

• Negative Factors of 384: -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -64, -96, -128, -192, -384

• Prime Factors of 384: 2, 3

• Prime Factorization of 384: $2^7\times3^1$

Factors by Division Method

To calculate the factors of 384, 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: 384 ÷ 2 = 192
Step 2: 192 ÷ 2 = 96
Step 3: 96 ÷ 2 = 48
Step 4: 48 ÷ 2 = 24
Step 5: 24 ÷ 2 = 12
Step 6: 12 ÷ 2 = 6
Step 7: 6 ÷ 2 = 3
Step 8: 3 ÷ 3 = 1

In step 8, we have reached to 1, and so, the process is stopped.

• Prime Factors of 384: $2\times2\times2\times2\times2\times2\times2\times3$

• Prime Factorization of 384: $2^7\times3^1$

The factors will be all the multiples of 1, 2, 2, 2, 2, 2, 2, 2, 3, 6, 12, 24, 48, 96, 192, 384

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
6 = 1 x 6
8 = 1 x 2 x 2 x 2
12 = 1 x 12
16 = 1 x 2 x 2 x 2 x 2
24 = 1 x 24
32 = 1 x 2 x 2 x 2 x 2 x 2
48 = 1 x 48
64 = 1 x 2 x 2 x 2 x 2 x 2 x 2
96 = 1 x 96
128 = 1 x 2 x 2 x 2 x 2 x 2 x 2 x 2
192 = 1 x 192
384 = 1 x 384

Finally Factors of 384 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384