What are the Factors of 441?

What are the Factors of 441?

The following are the different types of factors of 441:

• Factors of 441: 1, 3, 7, 9, 21, 49, 63, 147, 441

• Negative Factors of 441: -1, -3, -7, -9, -21, -49, -63, -147, -441

• Prime Factors of 441: 3, 7

• Prime Factorization of 441: $3^2\times7^2$

Factors by Division Method

To calculate the factors of 441, 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: 441 ÷ 3 = 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 441: $3\times3\times7\times7$

• Prime Factorization of 441: $3^2\times7^2$

The factors will be all the multiples of 1, 3, 3, 7, 7, 49, 147, 441

Calculating all the factors:
3 = 1 x 3
7 = 1 x 7
9 = 1 x 3 x 3
21 = 3 x 7
49 = 1 x 49
63 = 1 x 3 x 3 x 7
147 = 1 x 147
441 = 1 x 441

Finally Factors of 441 = 1, 3, 7, 9, 21, 49, 63, 147, 441