What Are Factors Of 250

250 is an even number and must be a factor of two. Looking at the number in the units place, i.due east. 0, we can likewise find that five and 10 are its factors. In this lesson, permit us learn to notice the other factors of 250. While the list may appear long, it'southward fairly unproblematic to remember particularly when you place the pair factors of 250 or look at the gene tree of 250.

Factors of 250: 1, 2, 5, 10, 25, l, 125 and 250
Prime Factorization of 250: 2 × 5 × 5 × 5

1.	What Are the Factors of 250?
ii.	How to Summate Factors of 250?
3.	Factors of 250 by Prime Factorization
4.	Factors of 250 in Pairs
5.	FAQs-on-Factors-of-250

What are the Factors of 250?

Factors of 250 are all the numbers which on multiplying give the value 250. 250 is an even composite number.

250 is a multiple of ii, 5 and 10. Thus 2, five, 10 are the factors of 250. Permit'south discover which all numbers multiply together to form 250.

factors of 250

How to Calculate the Factors of 250?

The factors of 250 are integers that divide 250 without any balance.

Let's learn how to calculate factors of 250
Allow's brainstorm dividing 250 with the natural numbers, starting with 1.
250 ÷ 1 = 250, Remainder = 0
250 ÷ two = 125, Residue = 0
250 ÷ v = l, Remainder = 0
250 ÷ 10 = 25, Remainder = 0
All the divisors and the quotients thus obtained on sectionalization course the factors of 250. They are 1, 2, 5, 10, 25, fifty, 125 and 250.

Explore factors using illustrations and interactive examples

Factors of 37: The factors of 37 are i and 37.
Factors of 15: The factors of 15 are i , 3, v and 15.
Factors of 45: The factors of 45 are 1, 3, 5, 9, 15 and 45.
Factors of 40: The factors of twoscore are 1, two, 4, 5, eight, x, 20 and twoscore
Factors of 25: The factors of 25 are 1, 5 and 25

Factors of 250 by Prime Factorization

Prime factorization means to express a composite number every bit the product of its prime number factors.

To get the prime factorization of 250, we divide it past its smallest prime gene which is 2
250 ÷ ii = 125
At present divide 125 past its smallest prime factor.
125 ÷ 5 = 25
This procedure goes on till we get the quotient as one.
25 ÷ 5 = five and v ÷ v = 1
The prime number factorization of 245 is shown below in two ways:

prime factorization of 250

We stop the factor tree as we cannot co-operative further because two and 5 are the prime number numbers. Therefore, the prime factorization of 250 is 2 x 5 x five x v.

These iv prime number factors can exist multiplied in pairs in all the possible means to become the factors of 250.

Factors of 250 in Pairs

At present that nosotros are familiar with the factors of 250, let'southward write factors of 250 in pairs.

The factor-pairs of 250 are (1, 250), (2, 125), (five, l), (25, 10).

It is possible to have negative pair factors as well because the production of two negative numbers also gives a positive number.

Then, nosotros can have negative factor-pairs of 250 every bit (-1,-250), (-ii,-125), (-5,-50), (-25, -ten)

Important Notes

250 is an even blended number.
The only prime factors of 250 are two and 5

Example 1:

Annie is given 2 numbers, 10 and 250. She is provided with a few cards numbered 1, two, v, 10, 25, and 50. Tin can you help her in listing the common factors of ten and 250?

Solution:

The factors of 10 are 1, 2, five, and 10.

The factors of 250 are ane, 2, 5, 10, 25, 50, 125 and 250.

The common factors of 50 and 250 are 1, 2, 5, and 10.

Example 2:
Jane bought a rectangular carpeting for the living room of her house. The area of the carpet is about 250 square feet. What are the possible dimensions of the carpet?

Solution:

The expanse of a rectangle is length × breadth sq units.

Given area = 250 foursquare feet

So the possible length and breadth are the gene pairs that give the product 250.

Length of rug (in ft)	Breadth of carpeting (in ft)
1	250
ii	125
5	fifty
10	25
25	ten
fifty	5
250	one

Therefore, there are 7 possible dimensions of the rug.

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FAQs on Factors of 250

What are the factors of 250?

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

What are all the factors of 250 and 300?

The factors of 250 are 1, 2, 5, ten, 25, l, 125 and 250.

The factors of 300 are 1, 2, 3, iv, 5, 6, 10, 12, xv, twenty, 25, xxx, fifty, 60, 75, 100, 150 and 300.

Is 250 a perfect cube?

The cube root of 250 is not an integer, and therefore 250 is non a perfect cube.

How many factors of 250 are there?

The factors of 250 are 1, 2, five, 10, 25, fifty, 125 and 250. We take viii factors of 250.