# What are all the factors, the prime factorization, and factor pairs of 25500?

To find the factors of 25500, divide 25500 by each number starting with 1 and working up to 25500

## 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 25500 ?

To calculate the factors of 25500 , you can use the division method.

1. Begin by dividing 25500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 25500.

3. Continue dividing 25500 by larger numbers until you find an odd number that does not divide evenly into 25500 .

4. The numbers that divide evenly into 25500 are the factors of 25500 .

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

25500 ÷ 1 = 25500
25500 ÷ 2 = 12750
25500 ÷ 3 = 8500
25500 ÷ 4 = 6375
25500 ÷ 5 = 5100
25500 ÷ 6 = 4250
25500 ÷ 10 = 2550
25500 ÷ 12 = 2125
25500 ÷ 15 = 1700
25500 ÷ 17 = 1500
25500 ÷ 20 = 1275
25500 ÷ 25 = 1020
25500 ÷ 30 = 850
25500 ÷ 34 = 750
25500 ÷ 50 = 510
25500 ÷ 51 = 500
25500 ÷ 60 = 425
25500 ÷ 68 = 375
25500 ÷ 75 = 340
25500 ÷ 85 = 300
25500 ÷ 100 = 255
25500 ÷ 102 = 250
25500 ÷ 125 = 204
25500 ÷ 150 = 170
25500 ÷ 170 = 150
25500 ÷ 204 = 125
25500 ÷ 250 = 102
25500 ÷ 255 = 100
25500 ÷ 300 = 85
25500 ÷ 340 = 75
25500 ÷ 375 = 68
25500 ÷ 425 = 60
25500 ÷ 500 = 51
25500 ÷ 510 = 50
25500 ÷ 750 = 34
25500 ÷ 850 = 30
25500 ÷ 1020 = 25
25500 ÷ 1275 = 20
25500 ÷ 1500 = 17
25500 ÷ 1700 = 15
25500 ÷ 2125 = 12
25500 ÷ 2550 = 10
25500 ÷ 4250 = 6
25500 ÷ 5100 = 5
25500 ÷ 6375 = 4
25500 ÷ 8500 = 3
25500 ÷ 12750 = 2
25500 ÷ 25500 = 1

As you can see, the factors of 25500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 17 , 20 , 25 , 30 , 34 , 50 , 51 , 60 , 68 , 75 , 85 , 100 , 102 , 125 , 150 , 170 , 204 , 250 , 255 , 300 , 340 , 375 , 425 , 500 , 510 , 750 , 850 , 1020 , 1275 , 1500 , 1700 , 2125 , 2550 , 4250 , 5100 , 6375 , 8500 , 12750 and 25500 .

## How many factors of 25500 are there ?

The factors of 25500 are the numbers that can evenly divide 25500 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 17 , 20 , 25 , 30 , 34 , 50 , 51 , 60 , 68 , 75 , 85 , 100 , 102 , 125 , 150 , 170 , 204 , 250 , 255 , 300 , 340 , 375 , 425 , 500 , 510 , 750 , 850 , 1020 , 1275 , 1500 , 1700 , 2125 , 2550 , 4250 , 5100 , 6375 , 8500 , 12750 and 25500.

Thus, there are a total of 48 factors of 25500

## What are the factor pairs of 25500 ?

Factor Pairs of 25500 are combinations of two factors that when multiplied together equal 25500. There are many ways to calculate the factor pairs of 25500 .

One easy way is to list out the factors of 25500 :
1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 17 , 20 , 25 , 30 , 34 , 50 , 51 , 60 , 68 , 75 , 85 , 100 , 102 , 125 , 150 , 170 , 204 , 250 , 255 , 300 , 340 , 375 , 425 , 500 , 510 , 750 , 850 , 1020 , 1275 , 1500 , 1700 , 2125 , 2550 , 4250 , 5100 , 6375 , 8500 , 12750 , 25500

Then, pair up the factors:
(1,25500),(2,12750),(3,8500),(4,6375),(5,5100),(6,4250),(10,2550),(12,2125),(15,1700),(17,1500),(20,1275),(25,1020),(30,850),(34,750),(50,510),(51,500),(60,425),(68,375),(75,340),(85,300),(100,255),(102,250),(125,204) and (150,170) These are the factor pairs of 25500 .

## Prime Factorisation of 25500

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 25500 using a factor tree, we would start by writing 25500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 25500 would be 2 x 2 x 3 x 5 x 5 x 5 x 17.

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 25500 using this method, we keep dividing until it gives a non-zero remainder.

25500 ÷ 2 = 12750
12750 ÷ 2 = 6375
6375 ÷ 3 = 2125
2125 ÷ 5 = 425
425 ÷ 5 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1

So the prime factors of 25500 are 2 x 2 x 3 x 5 x 5 x 5 x 17.

## Frequently Asked Questions on Factors

### What are all the factors of 25500 ?

The factors of 25500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 17 , 20 , 25 , 30 , 34 , 50 , 51 , 60 , 68 , 75 , 85 , 100 , 102 , 125 , 150 , 170 , 204 , 250 , 255 , 300 , 340 , 375 , 425 , 500 , 510 , 750 , 850 , 1020 , 1275 , 1500 , 1700 , 2125 , 2550 , 4250 , 5100 , 6375 , 8500 , 12750 and 25500.

### What is the prime factorization of 25500 ?

The prime factorization of 25500 is 2 x 2 x 3 x 5 x 5 x 5 x 17 or 22 x 31 x 53 x 171, where 2 , 3 , 5 , 17 are the prime numbers .

### What are the prime factors of 25500 ?

The prime factors of 25500 are 2 , 3 , 5 , 17 .

### Is 25500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
25500 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 17 , 20 , 25 , 30 , 34 , 50 , 51 , 60 , 68 , 75 , 85 , 100 , 102 , 125 , 150 , 170 , 204 , 250 , 255 , 300 , 340 , 375 , 425 , 500 , 510 , 750 , 850 , 1020 , 1275 , 1500 , 1700 , 2125 , 2550 , 4250 , 5100 , 6375 , 8500 , 12750 and 25500.