What are the Factors of 294?

What are the Factors of 294?

The following are the different types of factors of 294:

• Factors of 294: 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

• Negative Factors of 294: -1, -2, -3, -6, -7, -14, -21, -42, -49, -98, -147, -294

• Prime Factors of 294: 2, 3, 7

• Prime Factorization of 294: $2^1\times3^1\times7^2$

Factors by Division Method

To calculate the factors of 294, 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: 294 ÷ 2 = 147
Step 2: 147 ÷ 3 = 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 294: $2\times3\times7\times7$

• Prime Factorization of 294: $2^1\times3^1\times7^2$

The factors will be all the multiples of 1, 2, 3, 7, 7, 49, 147, 294

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
6 = 1 x 2 x 3
7 = 1 x 7
14 = 2 x 7
21 = 3 x 7
42 = 1 x 2 x 3 x 7
49 = 1 x 49
98 = 2 x 49
147 = 1 x 147
294 = 1 x 294

Finally Factors of 294 = 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294