What are the Factors of 208?

What are the Factors of 208?

The following are the different types of factors of 208:

• Factors of 208: 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

• Negative Factors of 208: -1, -2, -4, -8, -13, -16, -26, -52, -104, -208

• Prime Factors of 208: 2, 13

• Prime Factorization of 208: $2^4\times13^1$

Factors by Division Method

To calculate the factors of 208, 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: 208 ÷ 2 = 104
Step 2: 104 ÷ 2 = 52
Step 3: 52 ÷ 2 = 26
Step 4: 26 ÷ 2 = 13
Step 5: 13 ÷ 13 = 1

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

• Prime Factors of 208: $2\times2\times2\times2\times13$

• Prime Factorization of 208: $2^4\times13^1$

The factors will be all the multiples of 1, 2, 2, 2, 2, 13, 26, 52, 104, 208

Calculating all the factors:
2 = 1 x 2
4 = 1 x 2 x 2
8 = 1 x 2 x 2 x 2
13 = 1 x 13
16 = 1 x 2 x 2 x 2 x 2
26 = 1 x 26
52 = 1 x 52
104 = 1 x 104
208 = 1 x 208

Finally Factors of 208 = 1, 2, 4, 8, 13, 16, 26, 52, 104, 208