What are the Factors of 414?

What are the Factors of 414?

The following are the different types of factors of 414:

• Factors of 414: 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

• Negative Factors of 414: -1, -2, -3, -6, -9, -18, -23, -46, -69, -138, -207, -414

• Prime Factors of 414: 2, 3, 23

• Prime Factorization of 414: $2^1\times3^2\times23^1$

Factors by Division Method

To calculate the factors of 414, 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: 414 ÷ 2 = 207
Step 2: 207 ÷ 3 = 69
Step 3: 69 ÷ 3 = 23
Step 4: 23 ÷ 23 = 1

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

• Prime Factors of 414: $2\times3\times3\times23$

• Prime Factorization of 414: $2^1\times3^2\times23^1$

The factors will be all the multiples of 1, 2, 3, 3, 23, 69, 207, 414

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
6 = 1 x 2 x 3
9 = 3 x 3
18 = 1 x 2 x 3 x 3
23 = 1 x 23
46 = 2 x 23
69 = 1 x 69
138 = 2 x 69
207 = 1 x 207
414 = 1 x 414

Finally Factors of 414 = 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414