What are the Factors of 306?

What are the Factors of 306?

The following are the different types of factors of 306:

• Factors of 306: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

• Negative Factors of 306: -1, -2, -3, -6, -9, -17, -18, -34, -51, -102, -153, -306

• Prime Factors of 306: 2, 3, 17

• Prime Factorization of 306: $2^1\times3^2\times17^1$

Factors by Division Method

To calculate the factors of 306, 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: 306 ÷ 2 = 153
Step 2: 153 ÷ 3 = 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 306: $2\times3\times3\times17$

• Prime Factorization of 306: $2^1\times3^2\times17^1$

The factors will be all the multiples of 1, 2, 3, 3, 17, 51, 153, 306

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
6 = 1 x 2 x 3
9 = 3 x 3
17 = 1 x 17
18 = 1 x 2 x 3 x 3
34 = 2 x 17
51 = 1 x 51
102 = 2 x 51
153 = 1 x 153
306 = 1 x 306

Finally Factors of 306 = 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306