What are the Factors of 392?

What are the Factors of 392?

The following are the different types of factors of 392:

• Factors of 392: 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

• Negative Factors of 392: -1, -2, -4, -7, -8, -14, -28, -49, -56, -98, -196, -392

• Prime Factors of 392: 2, 7

• Prime Factorization of 392: $2^3\times7^2$

Factors by Division Method

To calculate the factors of 392, 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: 392 ÷ 2 = 196
Step 2: 196 ÷ 2 = 98
Step 3: 98 ÷ 2 = 49
Step 4: 49 ÷ 7 = 7
Step 5: 7 ÷ 7 = 1

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

• Prime Factors of 392: $2\times2\times2\times7\times7$

• Prime Factorization of 392: $2^3\times7^2$

The factors will be all the multiples of 1, 2, 2, 2, 7, 7, 49, 98, 196, 392

Calculating all the factors:
2 = 1 x 2
4 = 1 x 2 x 2
7 = 1 x 7
8 = 1 x 2 x 2 x 2
14 = 2 x 7
28 = 2 x 2 x 7
49 = 1 x 49
56 = 1 x 2 x 2 x 2 x 7
98 = 1 x 98
196 = 1 x 196
392 = 1 x 392

Finally Factors of 392 = 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392