# What are all the factors, the prime factorization, and factor pairs of 250500?

To find the factors of 250500, divide 250500 by each number starting with 1 and working up to 250500

## What is a factor in math ?

Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.

The factors of a number can be positive or negative, but they cannot be zero.

The factors of a number can be used to find out if the number is prime or not.

A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.

## List all of the factors of 250500 ?

To calculate the factors of 250500 , you can use the division method.

1. Begin by dividing 250500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 250500.

3. Continue dividing 250500 by larger numbers until you find an odd number that does not divide evenly into 250500 .

4. The numbers that divide evenly into 250500 are the factors of 250500 .

Now let us find how to calculate all the factors of Two hundred fifty thousand five hundred :

250500 ÷ 1 = 250500
250500 ÷ 2 = 125250
250500 ÷ 3 = 83500
250500 ÷ 4 = 62625
250500 ÷ 5 = 50100
250500 ÷ 6 = 41750
250500 ÷ 10 = 25050
250500 ÷ 12 = 20875
250500 ÷ 15 = 16700
250500 ÷ 20 = 12525
250500 ÷ 25 = 10020
250500 ÷ 30 = 8350
250500 ÷ 50 = 5010
250500 ÷ 60 = 4175
250500 ÷ 75 = 3340
250500 ÷ 100 = 2505
250500 ÷ 125 = 2004
250500 ÷ 150 = 1670
250500 ÷ 167 = 1500
250500 ÷ 250 = 1002
250500 ÷ 300 = 835
250500 ÷ 334 = 750
250500 ÷ 375 = 668
250500 ÷ 500 = 501
250500 ÷ 500 = 501
250500 ÷ 501 = 500
250500 ÷ 668 = 375
250500 ÷ 750 = 334
250500 ÷ 835 = 300
250500 ÷ 1002 = 250
250500 ÷ 1500 = 167
250500 ÷ 1670 = 150
250500 ÷ 2004 = 125
250500 ÷ 2505 = 100
250500 ÷ 3340 = 75
250500 ÷ 4175 = 60
250500 ÷ 5010 = 50
250500 ÷ 8350 = 30
250500 ÷ 10020 = 25
250500 ÷ 12525 = 20
250500 ÷ 16700 = 15
250500 ÷ 20875 = 12
250500 ÷ 25050 = 10
250500 ÷ 41750 = 6
250500 ÷ 50100 = 5
250500 ÷ 62625 = 4
250500 ÷ 83500 = 3
250500 ÷ 125250 = 2
250500 ÷ 250500 = 1

As you can see, the factors of 250500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 125 , 150 , 167 , 250 , 300 , 334 , 375 , 500 , 500 , 501 , 668 , 750 , 835 , 1002 , 1500 , 1670 , 2004 , 2505 , 3340 , 4175 , 5010 , 8350 , 10020 , 12525 , 16700 , 20875 , 25050 , 41750 , 50100 , 62625 , 83500 , 125250 and 250500 .

## How many factors of 250500 are there ?

The factors of 250500 are the numbers that can evenly divide 250500 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 125 , 150 , 167 , 250 , 300 , 334 , 375 , 500 , 500 , 501 , 668 , 750 , 835 , 1002 , 1500 , 1670 , 2004 , 2505 , 3340 , 4175 , 5010 , 8350 , 10020 , 12525 , 16700 , 20875 , 25050 , 41750 , 50100 , 62625 , 83500 , 125250 and 250500.

Thus, there are a total of 49 factors of 250500

## What are the factor pairs of 250500 ?

Factor Pairs of 250500 are combinations of two factors that when multiplied together equal 250500. There are many ways to calculate the factor pairs of 250500 .

One easy way is to list out the factors of 250500 :
1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 125 , 150 , 167 , 250 , 300 , 334 , 375 , 500 , 500 , 501 , 668 , 750 , 835 , 1002 , 1500 , 1670 , 2004 , 2505 , 3340 , 4175 , 5010 , 8350 , 10020 , 12525 , 16700 , 20875 , 25050 , 41750 , 50100 , 62625 , 83500 , 125250 , 250500

Then, pair up the factors:
(1,250500),(2,125250),(3,83500),(4,62625),(5,50100),(6,41750),(10,25050),(12,20875),(15,16700),(20,12525),(25,10020),(30,8350),(50,5010),(60,4175),(75,3340),(100,2505),(125,2004),(150,1670),(167,1500),(250,1002),(300,835),(334,750),(375,668) and (500,501) These are the factor pairs of 250500 .

## Prime Factorisation of 250500

There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.

1) Use a factor tree :

1. Take the number you want to find the prime factorization of and write it at the top of the page

2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of

3. Draw a line under the number you just wrote and the number you are finding the prime factorization of

4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly

5. The numbers written on the lines will be the prime factors of the number you started with

For example, to calculate the prime factorization of 250500 using a factor tree, we would start by writing 250500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 250500 would be 2 x 2 x 3 x 5 x 5 x 5 x 167.

2) Use a factorization method :

There are a few different factorization methods that can be used to calculate the prime factorization of a number.

One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.

Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.

For example, to calculate the prime factorization of 250500 using this method, we keep dividing until it gives a non-zero remainder.

250500 ÷ 2 = 125250
125250 ÷ 2 = 62625
62625 ÷ 3 = 20875
20875 ÷ 5 = 4175
4175 ÷ 5 = 835
835 ÷ 5 = 167
167 ÷ 167 = 1

So the prime factors of 250500 are 2 x 2 x 3 x 5 x 5 x 5 x 167.

## Frequently Asked Questions on Factors

### What are all the factors of 250500 ?

The factors of 250500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 125 , 150 , 167 , 250 , 300 , 334 , 375 , 500 , 500 , 501 , 668 , 750 , 835 , 1002 , 1500 , 1670 , 2004 , 2505 , 3340 , 4175 , 5010 , 8350 , 10020 , 12525 , 16700 , 20875 , 25050 , 41750 , 50100 , 62625 , 83500 , 125250 and 250500.

### What is the prime factorization of 250500 ?

The prime factorization of 250500 is 2 x 2 x 3 x 5 x 5 x 5 x 167 or 22 x 31 x 53 x 1671, where 2 , 3 , 5 , 167 are the prime numbers .

### What are the prime factors of 250500 ?

The prime factors of 250500 are 2 , 3 , 5 , 167 .

### Is 250500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
250500 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 125 , 150 , 167 , 250 , 300 , 334 , 375 , 500 , 500 , 501 , 668 , 750 , 835 , 1002 , 1500 , 1670 , 2004 , 2505 , 3340 , 4175 , 5010 , 8350 , 10020 , 12525 , 16700 , 20875 , 25050 , 41750 , 50100 , 62625 , 83500 , 125250 and 250500.