What are the Factors of 336?

What are the Factors of 336?

The following are the different types of factors of 336:

• Factors of 336: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

• Negative Factors of 336: -1, -2, -3, -4, -6, -7, -8, -12, -14, -16, -21, -24, -28, -42, -48, -56, -84, -112, -168, -336

• Prime Factors of 336: 2, 3, 7

• Prime Factorization of 336: $2^4\times3^1\times7^1$

Factors by Division Method

To calculate the factors of 336, 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: 336 ÷ 2 = 168
Step 2: 168 ÷ 2 = 84
Step 3: 84 ÷ 2 = 42
Step 4: 42 ÷ 2 = 21
Step 5: 21 ÷ 3 = 7
Step 6: 7 ÷ 7 = 1

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

• Prime Factors of 336: $2\times2\times2\times2\times3\times7$

• Prime Factorization of 336: $2^4\times3^1\times7^1$

The factors will be all the multiples of 1, 2, 2, 2, 2, 3, 7, 21, 42, 84, 168, 336

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
8 = 1 x 2 x 2 x 2
12 = 2 x 2 x 3
14 = 2 x 7
16 = 1 x 2 x 2 x 2 x 2
21 = 1 x 21
24 = 2 x 2 x 2 x 3
28 = 2 x 2 x 7
42 = 1 x 42
48 = 1 x 2 x 2 x 2 x 2 x 3
56 = 2 x 2 x 2 x 7
84 = 1 x 84
112 = 2 x 2 x 2 x 2 x 7
168 = 1 x 168
336 = 1 x 336

Finally Factors of 336 = 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336