250 is an also number and need to be a element of 2. Looking at the number in the units place, i.e. 0, us can also find that 5 and also 10 are its factors. In this lesson, allow us learn to uncover the other factors that 250. While the list may appear long, it"s fairly simple to remember particularly when you determine the pair factors of 250 or look at the variable tree of 250.

You are watching: What is the prime factorization of 250

**Factors the 250:**1, 2, 5, 10, 25, 50, 125 and 250

**Prime administer of 250:**2 × 5 × 5 × 5

1. | What space the determinants of 250? |

2. | How to Calculate factors of 250? |

3. | Factors that 250 by prime Factorization |

4. | Factors the 250 in Pairs |

5. | FAQs-on-Factors-of-250 |

Factors the 250 are all the number which top top multiplying offer the value 250. 250 is one even composite number.

250 is a lot of of 2, 5 and 10. Thus 2, 5, 10 are the factors of 250. Let"s discover which every numbers multiply with each other to type 250.

**The components of 250 room integers that division 250 without any type of remainder.**

**Explore factors using illustrations and also interactive examples**

Prime factorization way to refer a composite number as the product of its prime factors.

To gain the element factorization that 250, we divide it by its the smallest prime factor which is 2**250 ÷ 2 = 125Now divide 125 through its the smallest prime factor.125 ÷ 5 = 25This process goes on till we get the quotient as 1.25 ÷ 5 = 5 and 5 ÷ 5 = 1The prime factorization the 245 is shown below in 2 ways:**

We avoid the variable tree as we can not branch additional because 2 and also 5 room the element numbers. Therefore, the element factorization of 250 is 2 x 5 x 5 x 5.

These 4 prime components can be multiply in pairs in every the possible ways come get the factors of 250.

## Factors that 250 in Pairs

Now that us are acquainted with the factors of 250, let"s write components of 250 in pairs.

The factor-pairs the 250 room (1, 250), (2, 125), (5, 50), (25, 10).

It is possible to have an adverse pair factors also because the product the two an adverse numbers likewise gives a positive number.

So, we deserve to have negative factor-pairs of 250 as (-1,-250), (-2,-125), (-5,-50), (-25, -10)

Annie is offered 2 numbers, 10 and 250. She is detailed with a few cards numbered 1, 2, 5, 10, 25, and also 50. Can you aid her in listing the typical factors that 10 and 250?

**Solution: **

The components of 10 space 1, 2, 5, and also 10.

The components of 250 space 1, 2, 5, 10, 25, 50, 125 and 250.

The typical factors of 50 and 250 room 1, 2, 5, and 10.

**Example 2:**Jane to buy a rectangle-shaped carpet for the life room of she house. The area that the carpet is about 250 square feet. What space the possible dimensions of the carpet?

**Solution:**

The area that a rectangle is length × breadth sq units.

Given area = 250 square feet

So the feasible length and breadth room the factor pairs the give the product 250.

Length the carpet (in ft)Breadth of carpet (in ft)1 | 250 |

2 | 125 |

5 | 50 |

10 | 25 |

25 | 10 |

50 | 5 |

250 | 1 |

Therefore, there room 7 possible dimensions the the carpet.

### What are the determinants of 250?

The factors of 250 room 1, 2, 5, 10, 25, 50, 125 and 250.

### What are all the factors of 250 and 300?

The components of 250 space 1, 2, 5, 10, 25, 50, 125 and 250.

The components of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150 and 300.

### Is 250 a perfect cube?

The cube source of 250 is no an integer, and also therefore 250 is no a perfect cube.

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### How numerous factors of 250 are there?

The factors of 250 space 1, 2, 5, 10, 25, 50, 125 and also 250. We have actually 8 determinants of 250.