What are the Factors of 196?

What are the Factors of 196?

The following are the different types of factors of 196:

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

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

• Prime Factors of 196: 2, 7

• Prime Factorization of 196: $2^2\times7^2$

Factors by Division Method

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

In step 4, we have reached to 1, and so, the process is stopped.

• Prime Factors of 196: $2\times2\times7\times7$

• Prime Factorization of 196: $2^2\times7^2$

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

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

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