What are the Factors of 450?

What are the Factors of 450?

The following are the different types of factors of 450:

• Factors of 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

• Negative Factors of 450: -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -30, -45, -50, -75, -90, -150, -225, -450

• Prime Factors of 450: 2, 3, 5

• Prime Factorization of 450: $2^1\times3^2\times5^2$

Factors by Division Method

To calculate the factors of 450, 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: 450 ÷ 2 = 225
Step 2: 225 ÷ 3 = 75
Step 3: 75 ÷ 3 = 25
Step 4: 25 ÷ 5 = 5
Step 5: 5 ÷ 5 = 1

In step 5, we have reached to 1, and so, the process is stopped.

• Prime Factors of 450: $2\times3\times3\times5\times5$

• Prime Factorization of 450: $2^1\times3^2\times5^2$

The factors will be all the multiples of 1, 2, 3, 3, 5, 5, 25, 75, 225, 450

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
5 = 1 x 5
6 = 1 x 2 x 3
9 = 3 x 3
10 = 2 x 5
15 = 3 x 5
18 = 1 x 2 x 3 x 3
25 = 1 x 25
30 = 2 x 3 x 5
50 = 2 x 25
75 = 1 x 75
90 = 1 x 2 x 3 x 3 x 5
150 = 2 x 75
225 = 1 x 225
450 = 1 x 450

Finally Factors of 450 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450