Did you know, 225 is an odd composite number i beg your pardon is a perfect square derived by the product of 15 v itself? In this chapter, we will certainly learn more about the components of 225, prime determinants of 225, and factors that 225 in pairs together with solved instances for a much better understanding.

You are watching: Find the prime factorization of 225

**Factors of 225:**1, 3, 5, 9, 15, 25, 45, 75, and also 225

**Prime administrate of 225:**225 = 32 × 52

1. | What space the determinants of 225? |

2. | How to calculation the components of 225? |

3. | Factors of 225 by element Factorization |

4. | Factors that 225 in Pairs |

5. | FAQs on factors of 225 |

## What are the factors of 225?

The components of 225 space those number that completely divide it without leaving any remainder. So, as soon as you multiply any type of two totality numbers with each other and also get 225 as the answer, you have the right to say the both these numbers are 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 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 entirety number is 3. Now divide 225 with 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 an alert anything special in the last heat of the factors? We can see that the number 15 is repeating itself together a factor. So we recognize that 15 × 15 = 225.In such cases, the number 225 is dubbed 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 of 225 by element Factorization

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

**225/3 = 75**

**Now, 75 is divided by its smallest prime factor and also the quotient is obtained.This procedure goes on till we gain the quotient as 1.The prime factorization of 225 is presented below:**

Observe the factor tree that 225 offered below:

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

## Factors the 225 in Pairs

The pair of numbers which gives 225 when multiplied are well-known as element pairs the 225. Observe the following factors of 225 in pairs.

Product form 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 unfavorable integers, then both the numbers in the pair factors should be negative. Since ( - ve × - ve) = +ve, the an unfavorable factor bag of 225 have the right to be listed as (-1, -225), (-3, -75), (-5, -45), and so on.

**Important Notes:**

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

Can you discover out that is correct?

**Solution:**Area the a rectangle = size × breadth

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

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

This reflects that your area is the same.

Did you notification that us indirectly supplied the different determinants of 225 in order come prove the areas same? If pair components of a number are multiplied to every other, they provide the exact same product, the number itself!Hence, the two carpets have equal area.

**Example 2: **Jonathan demands to list the determinants of 100 and also 225 and then uncover the common factors between them. Have the right to you assist him?

**Solution:**

The components of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 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 typical factors amongst these.Hence, the typical factors are 1, 5, and also 25.