# Factors of 225 | How to Calculate Factors of 225 | Prime Factorization of 225

The factors of 225 are the numbers that divide evenly into 225. To find the factors of 225, you can use two methods: The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75 and 225.

Finding factors of the numbers is actually something that we use quite a bit when we add fractions together and when we subtract them when we multiply them will constantly be meddling with these fractions and trying to use these factors to make them simpler or change them.

A factor is a number that divides evenly into another number so literally, it's a number that divides evenly into another number.

Also Check: Factors of 216

## How to Calculate Factors of 225

The positive factors of 225 are the numbers that can divide into 225 without leaving a rest and are greater than zero. These include 1, 3, 5, 9, 15, 25, 45, 75 and 225.

The positive factors of 225 can be paired up in the following ways:

(1, 225) (3, 75) (5, 45) (9, 25) (15, 15)

Each of these pairs represents two numbers that, when multiplied together, equal 225. For example, 1 * 225 = 225, 3 * 75 = 225, 5 * 45 = 225, and so on.

It's important to note that the pairs (3, 75) and (75, 3) are considered different pairs, as the order of the factors is important in mathematics.

Let’s find the Factors of 225

225 ÷ 1= 225

225 ÷ 3 = 75

225 ÷ 5 = 45

225 ÷ 9 = 25

225 ÷ 15 = 15

225 ÷ 25 = 9

225 ÷ 45 = 5

225 ÷ 45 = 3

225 ÷ 225 = 1

1,3 ,5, 9,1 5, 25, 45, 75,  and 225 are the Positive factors of 225 whereas -1,--3,-5, -9, -15, -25, -45, -75,  and -225 are the Negative Factors of 225.

### Factor Pairs of 225

When we multiplied two factors and result will be 225 then we can say Factors pairs of 225.

1 X 225 = 225

3 X 75 = 225

5 X 45 = 225

9 X 25 = 225

15 X 15 = 225

25 X 9 = 225

45 X 5 = 225

75 X 3 = 225

225 X 1 = 225

When we put minus in front of every factor we get Negative Factor pairs of 225.

-1 X- 225 = 225

-3 X -75 = 225

-5 X - 45 = 225

-9 X -25 = 225

-15 X- 15 = 225

-25 X -9 = 225

-45 X -5 = 225

-75 X -3 = 225

-225 X -1 = 225

Prime Factorization of 225= 3 X 3 X 5 X 5 = 225

## Factor Tree of 225

Here's how you can create a factor tree for 225:

1. Start by writing down the number you want to factor (225)

1. Find the smallest factor of the number and write it down next to the original number (225) (e.g. 225 / 3 = 75)

1. Divide the original number by this factor and write the result next to the factor (225 / 3 = 75)

1. Repeat steps 2-3 until you reach a prime number (in this case 3 and 75)

1. Write the prime factorization by listing all the prime factors found in step 4 (3 x 3 x 5 x 5)

So the factor tree for 225 is:

225 ÷ 3 = 75 225 ÷ 3 = 75 ÷ 3 = 25 25 ÷ 5 = 5

Thus, the prime factorization of 225 is: 3 x 3 x 5 x 5 = 225.