What are the Factors of 204?

What are the Factors of 204?

The following are the different types of factors of 204:

• Factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

• Negative Factors of 204: -1, -2, -3, -4, -6, -12, -17, -34, -51, -68, -102, -204

• Prime Factors of 204: 2, 3, 17

• Prime Factorization of 204: $2^2\times3^1\times17^1$

Factors by Division Method

To calculate the factors of 204, 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: 204 ÷ 2 = 102
Step 2: 102 ÷ 2 = 51
Step 3: 51 ÷ 3 = 17
Step 4: 17 ÷ 17 = 1

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

• Prime Factors of 204: $2\times2\times3\times17$

• Prime Factorization of 204: $2^2\times3^1\times17^1$

The factors will be all the multiples of 1, 2, 2, 3, 17, 51, 102, 204

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
6 = 2 x 3
12 = 1 x 2 x 2 x 3
17 = 1 x 17
34 = 2 x 17
51 = 1 x 51
68 = 2 x 2 x 17
102 = 1 x 102
204 = 1 x 204

Finally Factors of 204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204