Did friend know, 225 is one odd composite number which is a perfect square acquired by the product that 15 through itself? In this chapter, we will learn an ext about the components of 225, prime determinants of 225, and also factors the 225 in pairs together with solved examples for a better understanding.

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

What space the determinants of 225?

The determinants of 225 are those number that completely divide it without leaving any kind of remainder. So, as soon as you multiply any kind of two entirety numbers with each other and get 225 as the answer, you can say the both this numbers space the factors of 225. Observe these numbers.

1 × 225 = 225

3 × 75 = 225 

5 × 45 = 225

9 × 25 = 225

15 × 15 = 225

This have the right to be ongoing until girlfriend reach 225 × 1 = 225. Thus, the determinants of 225 room 1, 3, 5, 9, 15, 25, 45, 75, and also 225.

How to calculate the determinants of 225?

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

Yes! So, we will get:

225/1 = 225

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

225/3 = 75 

3 × 75 = 225

Proceeding in a comparable manner we get,

225 = 1 × 225 

3 × 75 = 5 × 45 = 9 × 25 = 15 × 15

Did you an alert anything distinct in the last line of the factors? We can see that the number 15 is repeating itself together a factor. For this reason we recognize that 15 × 15 = 225.In together cases, the number 225 is called a perfect square.

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

Explore components using illustrations and interactive examples.

Factors of 225 by element Factorization

Prime administrate means expressing a composite number as the product that its prime factors.To get the element factorization of 225, we divide it by its the smallest prime factor, which is 3.

225/3 = 75

Now, 75 is split by its smallest prime factor and also the quotient is obtained.This procedure goes on till we acquire the quotient together 1.The element factorization of 225 is presented below:

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Observe the element tree of 225 offered below:

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

Factors that 225 in Pairs

The pair of number which gives 225 when multiplied are recognized as factor pairs the 225. Watch the following 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 negative integers, climate both the numbers in the pair factors should be negative. Since ( - ve × - ve) = +ve, the negative factor pairs of 225 deserve to be provided as (-1, -225), (-3, -75), (-5, -45), and also so on.

Important Notes:

As 225 ends through digit 5, it will have 5 as that factor. This holds true for all numbers that finish with 5.All perfect square numbers have actually odd number of factors. Because 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 v dimensions 15 customs by 15 inches and also 25 inches through 9 inches respectively. They location the 2 carpets one end another. Due to the fact that the 2 of them perform not overlap, Peter stated that they don"t have same area. However, Andrew does not agree v him.

Can you uncover out who is correct?

Solution:Area of a rectangle = size × breadth

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

For the 2nd carpet,Area = 25 × 9 = 225

This reflects that their area is the same.

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


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

Solution:

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

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We can see that 1, 5, and 25 room the common factors amongst these.Hence, the typical factors room 1, 5, and also 25.