What Times What Equals 225

Factors of 225

Did yous know, 225 is an odd composite number which is a perfect square obtained by the production of 15 with itself? In this chapter, we volition larn more near the factors of 225, prime factors of 225, and factors of 225 in pairs along with solved examples for a better understanding.

Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, and 225
Prime Factorization of 225: 225 = 3² × 5^two

1.	What Are the Factors of 225?
2.	How to Summate the Factors of 225?
3.	Factors of 225 past Prime number Factorization
4.	Factors of 225 in Pairs
5.	FAQs on Factors of 225

What Are the Factors of 225?

The factors of 225 are those numbers that completely divide information technology without leaving whatever remainder. So, when you lot multiply any two whole numbers with each other and go 225 as the reply, you can say that both these numbers are the factors of 225. Observe these numbers.

ane × 225 = 225

3 × 75 = 225

5 × 45 = 225

ix × 25 = 225

15 × xv = 225

This can be connected until you reach 225 × 1 = 225. Thus, the factors of 225 are 1, 3, 5, ix, 15, 25, 45, 75, and 225.

How to Calculate the Factors of 225?

Let's begin calculating the factors of 225, starting with the smallest whole number ane. Divide 225 with this number. Is the remainder 0?

Aye! Then, we volition get:

225/1 = 225

The next whole number is 3. At present split up 225 with this number.

225/3 = 75

3 × 75 = 225

Proceeding in a similar fashion we go,

225 = 1 × 225

3 × 75 = five × 45 = 9 × 25 = 15 × 15

Did you discover anything special in the terminal line of the factors? We tin encounter that the number 15 is repeating itself as a factor. So nosotros 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, nine, 15, 25, 45, 75, and 225.

Explore factors using illustrations and interactive examples.

Factors of 625 - The factors of 625 are 1, v, 25, 125, 625
Factors of 36 - The factors of 36 are one, two, 3, iv, six, nine, 12, 18, 36
Factors of 45 - The factors of 45 are one, iii, 5, nine, 15, 45
Factors of 75 - The factors of 75 are 1, three, v, fifteen, 25, 75
Factors of 256 - The factors of 256 are one, 2, 4, 8, xvi, 32, 64, 128, 256
Factors of 441 - The factors of 441 are 1, 3, vii, ix, 21, 49, 63, 147, 441

Factors of 225 past Prime number Factorization

Prime factorization means expressing a composite number as the product of its prime factors.
To become the prime number factorization of 225, we divide information technology by its smallest prime factor, which is 3.

225/3 = 75

At present, 75 is divided past its smallest prime factor and the quotient is obtained.
This process goes on till we go the quotient as 1.
The prime number factorization of 225 is shown below:

Observe the factor tree of 225 given below:

The prime number factors of 225 are five × v × 3 × three. This tin can also be written as is 5ⁱⁱ × iii².

Factors of 225 in Pairs

The pair of numbers which gives 225 when multiplied are known equally factor pairs of 225. Observe the following factors of 225 in pairs.

Product form of 225	Pair factors
1 × 225 = 225	1, 225
iii × 75 = 225	iii, 75
5 × 45 = 225	5, 45
9 × 25 = 225	nine, 25
15 × 15 = 225	15, xv

But if we consider negative integers, then both the numbers in the pair factors should be negative. Since ( - ve × - ve) = +ve, the negative factor pairs of 225 tin be listed as (-1, -225), (-iii, -75), (-five, -45), and then on.

Important Notes:

As 225 ends with digit 5, it will have 5 every bit its cistron. This holds true for all numbers that end with 5.
All perfect square numbers take odd number of factors. Since 225 is a perfect square number, this applies here also. 225 has 9 factors in all.

Example 1: Peter and Andrew have rectangular carpets with dimensions fifteen inches by 15 inches and 25 inches by 9 inches respectively. They place the two carpets one over another. Since the two of them exercise not overlap, Peter said that they don't accept aforementioned area. Nonetheless, Andrew does non agree with him.

Can you find out who is correct?

Solution:Area of a rectangle = length × breadth

For the first rug,Area = 15 × fifteen = 225

For the second carpet,Surface area = 25 × 9 = 225

This shows that their surface area is the same.

Did you notice that nosotros indirectly used the different factors of 225 in order to prove the areas aforementioned? If pair factors of a number are multiplied to each other, they give the aforementioned product, the number itself!
Hence, the 2 carpets accept equal area.
Example 2: Jonathan needs to list the factors of 100 and 225 and and then observe the common factors between them. Can you assistance him?

Solution:

The factors of 100 are 1, two, 4, 5, ten, 20, 25, 50, and 100.
The factors of 225 are 1, iii, v, ix, 15, 25, 45, 75, and 225.

We can see that 1, v, and 25 are the common factors among these.
Hence, the common factors are 1, 5, and 25.

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FAQs on Factors of 225

What are the factors of 225?

The factors of 225 are 1, 3, five, 9, 15, 25, 45, 75, and 225

What are the prime factors of 225?

The prime factors of 225 are 3 and v.

What is the prime factor decomposition of 225?

The prime factor decomposition of 225 is three² × 5².

Is 225 a prime?

No, 225 has more than than two factors. So it is not a prime.

What are the common factors of 225, 450, and 600?

Factors of 225 = ane, 3, 5, 9, 15, 25, 45, 75, 225
Factors of 450 = 1, 2, 3, 5, half dozen, 9, 10, fifteen, xviii, 25, 30, 45, l, 75, 90, 150, 225, 450
Factors of 600 = ane, 2, 3, 4, 5, six, 8, 10, 12, 15, 20, 24, 25, thirty, 40, l, sixty, 75, 100, 120, 150, 200, 300, 600

The common factors of 225, 450, and 600 are i, three, v, 15, 25, and 75.