Did you know, 225 is an odd composite number which is a perfect square acquired by the product the 15 v itself? In this chapter, we will learn much more about the factors of 225, prime determinants of 225, and factors the 225 in pairs along with solved examples for a much better understanding.

You are watching: Prime factorization of 225 using exponents

Factors that 225: 1, 3, 5, 9, 15, 25, 45, 75, and 225Prime factorization of 225: 225 = 32 × 52
 1 What space the components of 225? 2 How to calculate the factors of 225? 3 Factors the 225 by prime Factorization 4 Factors of 225 in Pairs 5 FAQs on factors of 225

## What space the factors of 225?

The determinants of 225 space those number that completely divide it without leaving any type of remainder. So, as soon as you multiply any type of two totality numbers through each other and get 225 as the answer, you have the right to say that both this numbers room the determinants of 225. Watch these numbers.

1 × 225 = 225

3 × 75 = 225

5 × 45 = 225

9 × 25 = 225

15 × 15 = 225

This deserve to be ongoing until you reach 225 × 1 = 225. Thus, the components of 225 room 1, 3, 5, 9, 15, 25, 45, 75, and 225.

## How to calculation the components of 225?

Let"s start calculating the factors of 225, starting with the smallest totality number 1. Divide 225 with this number. Is the remainder 0?

Yes! So, we will get:

225/1 = 225

The next whole number is 3. Now divide 225 through this number.

225/3 = 75

3 × 75 = 225

Proceeding in a similar manner we get,

225 = 1 × 225

3 × 75 = 5 × 45 = 9 × 25 = 15 × 15

Did you notification anything distinct in the last line of the factors? We have the right to see that the number 15 is repeating itself as a factor. Therefore we know that 15 × 15 = 225.In such cases, the number 225 is called a perfect square.

Hence, the factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, and also 225.

Explore determinants using illustrations and interactive examples.

## Factors that 225 by prime Factorization

Prime administrate means expressing a composite number together the product that its prime factors.To obtain the element factorization that 225, we division it by its smallest prime factor, i m sorry is 3.

225/3 = 75

Now, 75 is separated by its smallest prime factor and also the quotient is obtained.This procedure goes top top till we acquire the quotient together 1.The prime factorization of 225 is shown below: Observe the factor tree that 225 provided below: The prime components of 225 are 5 × 5 × 3 × 3. This can also be written as is 52 × 32.

## Factors the 225 in Pairs

The pair of number which gives 225 when multiplied are recognized as factor pairs that 225. Observe the adhering to factors of 225 in pairs.

 Product kind of 225 Pair factors 1 × 225 = 225 1, 225 3 × 75 = 225 3, 75 5 × 45 = 225 5, 45 9 × 25 = 225 9, 25 15 × 15 = 225 15, 15 But if we consider an adverse integers, then both the numbers in the pair factors should it is in negative. Because ( - ve × - ve) = +ve, the an adverse factor bag of 225 deserve to be detailed as (-1, -225), (-3, -75), (-5, -45), and also so on.

Important Notes:

As 225 ends with digit 5, the will have 5 as its factor. This stop true for every numbers that finish with 5.All perfect square numbers have odd variety of factors. Due to the fact that 225 is a perfect square number, this uses here too. 225 has 9 determinants in all.

Example 1: Peter and also Andrew have rectangular carpets with dimensions 15 inch by 15 inches and also 25 inches through 9 inches respectively. They location the 2 carpets one over another. Due to the fact that the two of them carry out not overlap, Peter stated that lock don"t have same area. However, Andrew does no agree through him.

Can you uncover out who is correct?

Solution:Area that a rectangle = size × breadth

For the very first carpet,Area = 15 × 15 = 225

For the second carpet,Area = 25 × 9 = 225

This mirrors that your area is the same.

Did you an alert that us indirectly supplied the different determinants of 225 in order come prove the areas same? If pair factors of a number are multiplied to each other, they offer the same product, the number itself!Hence, the 2 carpets have equal area.

Example 2: Jonathan demands to perform the components of 100 and also 225 and then find the typical factors between them. Deserve to you aid him?

Solution:

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and also 100.The components of 225 room 1, 3, 5, 9, 15, 25, 45, 75, and 225.

See more: Write An Equation To Determine The Number Of Possible Values Of Ml From The Value Of L.

We deserve to see the 1, 5, and 25 room the common factors among these.Hence, the common factors room 1, 5, and also 25.