# What are all the factors, the prime factorization, and factor pairs of 25000?

To find the factors of 25000, divide 25000 by each number starting with 1 and working up to 25000

## 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 25000 ?

To calculate the factors of 25000 , you can use the division method.

1. Begin by dividing 25000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 25000.

3. Continue dividing 25000 by larger numbers until you find an odd number that does not divide evenly into 25000 .

4. The numbers that divide evenly into 25000 are the factors of 25000 .

Now let us find how to calculate all the factors of Twenty-five thousand :

25000 ÷ 1 = 25000
25000 ÷ 2 = 12500
25000 ÷ 4 = 6250
25000 ÷ 5 = 5000
25000 ÷ 8 = 3125
25000 ÷ 10 = 2500
25000 ÷ 20 = 1250
25000 ÷ 25 = 1000
25000 ÷ 40 = 625
25000 ÷ 50 = 500
25000 ÷ 100 = 250
25000 ÷ 125 = 200
25000 ÷ 200 = 125
25000 ÷ 250 = 100
25000 ÷ 500 = 50
25000 ÷ 625 = 40
25000 ÷ 1000 = 25
25000 ÷ 1250 = 20
25000 ÷ 2500 = 10
25000 ÷ 3125 = 8
25000 ÷ 5000 = 5
25000 ÷ 6250 = 4
25000 ÷ 12500 = 2
25000 ÷ 25000 = 1

As you can see, the factors of 25000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 625 , 1000 , 1250 , 2500 , 3125 , 5000 , 6250 , 12500 and 25000 .

## How many factors of 25000 are there ?

The factors of 25000 are the numbers that can evenly divide 25000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 625 , 1000 , 1250 , 2500 , 3125 , 5000 , 6250 , 12500 and 25000.

Thus, there are a total of 24 factors of 25000

## What are the factor pairs of 25000 ?

Factor Pairs of 25000 are combinations of two factors that when multiplied together equal 25000. There are many ways to calculate the factor pairs of 25000 .

One easy way is to list out the factors of 25000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 625 , 1000 , 1250 , 2500 , 3125 , 5000 , 6250 , 12500 , 25000

Then, pair up the factors:
(1,25000),(2,12500),(4,6250),(5,5000),(8,3125),(10,2500),(20,1250),(25,1000),(40,625),(50,500),(100,250) and (125,200) These are the factor pairs of 25000 .

## Prime Factorisation of 25000

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 25000 using a factor tree, we would start by writing 25000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 25000 would be 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5.

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 25000 using this method, we keep dividing until it gives a non-zero remainder.

25000 ÷ 2 = 12500
12500 ÷ 2 = 6250
6250 ÷ 2 = 3125
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 25000 are 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 25000 ?

The factors of 25000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 625 , 1000 , 1250 , 2500 , 3125 , 5000 , 6250 , 12500 and 25000.

### What is the prime factorization of 25000 ?

The prime factorization of 25000 is 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 or 23 x 55, where 2 , 5 are the prime numbers .

### What are the prime factors of 25000 ?

The prime factors of 25000 are 2 , 5 .

### Is 25000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
25000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , 625 , 1000 , 1250 , 2500 , 3125 , 5000 , 6250 , 12500 and 25000.