What are the Factors of 225?

What are the Factors of 225?

The following are the different types of factors of 225:

• Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

• Negative Factors of 225: -1, -3, -5, -9, -15, -25, -45, -75, -225

• Prime Factors of 225: 3, 5

• Prime Factorization of 225: $3^2\times5^2$

Factors by Division Method

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

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

• Prime Factors of 225: $3\times3\times5\times5$

• Prime Factorization of 225: $3^2\times5^2$

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

Calculating all the factors:
3 = 1 x 3
5 = 1 x 5
9 = 1 x 3 x 3
15 = 3 x 5
25 = 1 x 25
45 = 1 x 3 x 3 x 5
75 = 1 x 75
225 = 1 x 225

Finally Factors of 225 = 1, 3, 5, 9, 15, 25, 45, 75, 225