Did friend know, 225 is one odd composite number i m sorry is a perfect square obtained by the product the 15 with itself? In this chapter, we will learn more about the determinants of 225, prime factors of 225, and factors the 225 in pairs along with solved examples for a much better understanding.

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

What room the components of 225?

The factors of 225 room those numbers that fully divide it there is no leaving any type of remainder. So, once you multiply any type of two totality numbers v each other and get 225 as the answer, you can say that both these numbers are the components of 225. Watch these numbers.

1 × 225 = 225

3 × 75 = 225 

5 × 45 = 225

9 × 25 = 225

15 × 15 = 225

This can be ongoing until girlfriend reach 225 × 1 = 225. Thus, the factors of 225 room 1, 3, 5, 9, 15, 25, 45, 75, and 225.

How to calculate the components of 225?

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

Yes! So, we will certainly get:

225/1 = 225

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

225/3 = 75 

3 × 75 = 225

Proceeding in a comparable manner us get,

225 = 1 × 225 

3 × 75 = 5 × 45 = 9 × 25 = 15 × 15

Did you notice anything distinct in the last heat of the factors? We can see the the number 15 is repeating itself as a factor. For this reason we recognize that 15 × 15 = 225.In such cases, the number 225 is referred to as a perfect square.

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

Explore determinants using illustrations and also interactive examples.

Factors the 225 by prime Factorization

Prime administer means expressing a composite number as the product of its prime factors.To acquire the element factorization that 225, we division it by its the smallest prime factor, i beg your pardon is 3.

225/3 = 75

Now, 75 is separated by its smallest prime factor and the quotient is obtained.This process goes on till we gain the quotient as 1.The element factorization the 225 is shown below:

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Observe the element tree of 225 given below:

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The prime components of 225 are 5 × 5 × 3 × 3. This can likewise be created as is 52 × 32.

Factors of 225 in Pairs

The pair of number which gives 225 when multiplied are well-known as factor pairs the 225. Watch the complying with factors of 225 in pairs.

Product form of 225Pair factors
1 × 225 = 2251, 225
3 × 75 = 2253, 75
5 × 45 = 2255, 45
9 × 25 = 2259, 25
15 × 15 = 22515, 15

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But if we consider an unfavorable integers, climate both the number in the pair components should be negative. Because ( - ve × - ve) = +ve, the an unfavorable factor pairs of 225 have the right to be provided as (-1, -225), (-3, -75), (-5, -45), and so on.

Important Notes:

As 225 ends with digit 5, the will have 5 as that factor. This holds true for every numbers that end with 5.All perfect square numbers have odd variety of factors. Because 225 is a perfect square number, this applies here too. 225 has actually 9 determinants in all.

Example 1: Peter and also Andrew have rectangular carpets v dimensions 15 inches by 15 inches and 25 inches through 9 inches respectively. They ar the 2 carpets one over another. Because the two of them execute not overlap, Peter said that they don"t have same area. However, Andrew does no agree with him.

Can you find out who is correct?

Solution:Area that a rectangle = length × breadth

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

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

This mirrors that their area is the same.

Did you notification that us indirectly used the different factors of 225 in order to prove the locations same? If pair components of a number space multiplied to each other, they offer the very same product, the number itself!Hence, the 2 carpets have actually equal area.


Example 2: Jonathan demands to list the factors of 100 and also 225 and then find the usual factors between them. Have the right to you help him?

Solution:

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

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