# what is the prime factorization of 225

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

**Elements of 225:**1, 3, 5, 9, 15, 25, 45, 75 and 225**Prime factors of 225:**225 = 32 × 52

1. What is the factor of 225? 2. How to calculate the factors of 225? 3. Factors of 225 to prime factors 4. Factors of 225 in pairs 5. FAQ about Factor of 225

## What are the factors of 225?

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The factors of 225 are perfectly divisible numbers that leave no remainder. So when you multiply any two integers together and get 225, you can say that both are factors of 225. Observe these numbers. Read: what is the prime factor of 2251 × 225 = 2253 ×. 75 = 2255 × 45 = 2259 × 25 = 22515 × 15 = 225 This can be continued until you reach 225 × 1 = 225. Thus, the factors of 225 are 1, 3, 5, 9 , 15, 25, 45, 75, and 225.

## How to calculate the factors of 225?

Let’s start calculating the factors of 225, starting with the smallest integer 1. Divide 225 by this number. Is the remainder 0? So we get: Read more: What symptoms must be reported to the manager. 225 = 1 × 2253 × 75 = 5 × 45 = 9 × 25 = 15 × 15 Did you notice anything special on the last line of the factors? We can see that the number 15 is repeating itself as a factor. So we know that 15 × 15 = 225. In such cases, the number 225 is called a perfect square. **the coefficients of 225 are 1, 3, 5, 9, 15, 25, 45, 75 and 225.**Explore the elements using illustrations and interactive examples.

- The factors of 625 – The factors of 625 are 1, 5, 25, 125, 625
- The coefficients of 36 – The coefficients of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
- The coefficients of 45 – The coefficients of 45 are 1, 3, 5, 9, 15, 45
- The coefficients 75 – The coefficients of 75 are 1, 3, 5, 15, 25, 75
- The coefficients of 256 – The coefficients of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256
- The coefficients of 441 – The coefficients of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441

## The factors of 225 in prime factors

Read more: What we have here is a communication failure. To get the prime factor of 225, we divide it by its smallest prime factor, which gets 3.225 / 3 = 75 Now , 75 divide by the smallest prime factor and get the quotient. This process continues until we get the quotient of 1. The factorization of the prime number of 225 is shown below:Observe the 225 factorial tree given below:The prime factors of 225 are 5 × 5 × 3 × 3. This can also be written as 52 × 32.

## Elements of 225 in pairs

The pair of numbers that produce 225 when multiplied are called the factorial pairs of 225. Observe the following pairs of 225 factors. **Product form 225** **Pairing elements** 1 × 225 = 225 1, 225 3 × 75 = 225 3, 75 5 × 45 = 225 5, 45 9 × 25 = 225 9, 25 15 × 15 = 225 15, 15But if we consider negative integers, then both numbers in the factor pair must be negative. Since (- ve × – ve) = + ve, the possible pairs of negative factors of 225 are listed as (-1, -225), (-3, -75), (-5, -45), etc.**Important note:**Read more: what is a stretch mattress | Top Q&A

- Since 225 ends with the digit 5, it will have 5 as its factor. This is true for all numbers ending in 5.
- All perfectly squared numbers have odd factors. Since 225 is a perfect squared number, this also applies here. 225 has a total of 9 elements.

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