# What are all the factors, the prime factorization, and factor pairs of 87500?

To find the factors of 87500, divide 87500 by each number starting with 1 and working up to 87500

## 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 87500 ?

To calculate the factors of 87500 , you can use the division method.

1. Begin by dividing 87500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 87500.

3. Continue dividing 87500 by larger numbers until you find an odd number that does not divide evenly into 87500 .

4. The numbers that divide evenly into 87500 are the factors of 87500 .

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

87500 ÷ 1 = 87500
87500 ÷ 2 = 43750
87500 ÷ 4 = 21875
87500 ÷ 5 = 17500
87500 ÷ 7 = 12500
87500 ÷ 10 = 8750
87500 ÷ 14 = 6250
87500 ÷ 20 = 4375
87500 ÷ 25 = 3500
87500 ÷ 28 = 3125
87500 ÷ 35 = 2500
87500 ÷ 50 = 1750
87500 ÷ 70 = 1250
87500 ÷ 100 = 875
87500 ÷ 125 = 700
87500 ÷ 140 = 625
87500 ÷ 175 = 500
87500 ÷ 250 = 350
87500 ÷ 350 = 250
87500 ÷ 500 = 175
87500 ÷ 625 = 140
87500 ÷ 700 = 125
87500 ÷ 875 = 100
87500 ÷ 1250 = 70
87500 ÷ 1750 = 50
87500 ÷ 2500 = 35
87500 ÷ 3125 = 28
87500 ÷ 3500 = 25
87500 ÷ 4375 = 20
87500 ÷ 6250 = 14
87500 ÷ 8750 = 10
87500 ÷ 12500 = 7
87500 ÷ 17500 = 5
87500 ÷ 21875 = 4
87500 ÷ 43750 = 2
87500 ÷ 87500 = 1

As you can see, the factors of 87500 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 625 , 700 , 875 , 1250 , 1750 , 2500 , 3125 , 3500 , 4375 , 6250 , 8750 , 12500 , 17500 , 21875 , 43750 and 87500 .

## How many factors of 87500 are there ?

The factors of 87500 are the numbers that can evenly divide 87500 . These numbers are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 625 , 700 , 875 , 1250 , 1750 , 2500 , 3125 , 3500 , 4375 , 6250 , 8750 , 12500 , 17500 , 21875 , 43750 and 87500.

Thus, there are a total of 36 factors of 87500

## What are the factor pairs of 87500 ?

Factor Pairs of 87500 are combinations of two factors that when multiplied together equal 87500. There are many ways to calculate the factor pairs of 87500 .

One easy way is to list out the factors of 87500 :
1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 625 , 700 , 875 , 1250 , 1750 , 2500 , 3125 , 3500 , 4375 , 6250 , 8750 , 12500 , 17500 , 21875 , 43750 , 87500

Then, pair up the factors:
(1,87500),(2,43750),(4,21875),(5,17500),(7,12500),(10,8750),(14,6250),(20,4375),(25,3500),(28,3125),(35,2500),(50,1750),(70,1250),(100,875),(125,700),(140,625),(175,500) and (250,350) These are the factor pairs of 87500 .

## Prime Factorisation of 87500

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 87500 using a factor tree, we would start by writing 87500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 87500 would be 2 x 2 x 5 x 5 x 5 x 5 x 5 x 7.

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 87500 using this method, we keep dividing until it gives a non-zero remainder.

87500 ÷ 2 = 43750
43750 ÷ 2 = 21875
21875 ÷ 5 = 4375
4375 ÷ 5 = 875
875 ÷ 5 = 175
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1

So the prime factors of 87500 are 2 x 2 x 5 x 5 x 5 x 5 x 5 x 7.

## Frequently Asked Questions on Factors

### What are all the factors of 87500 ?

The factors of 87500 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 625 , 700 , 875 , 1250 , 1750 , 2500 , 3125 , 3500 , 4375 , 6250 , 8750 , 12500 , 17500 , 21875 , 43750 and 87500.

### What is the prime factorization of 87500 ?

The prime factorization of 87500 is 2 x 2 x 5 x 5 x 5 x 5 x 5 x 7 or 22 x 55 x 71, where 2 , 5 , 7 are the prime numbers .

### What are the prime factors of 87500 ?

The prime factors of 87500 are 2 , 5 , 7 .

### Is 87500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
87500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 625 , 700 , 875 , 1250 , 1750 , 2500 , 3125 , 3500 , 4375 , 6250 , 8750 , 12500 , 17500 , 21875 , 43750 and 87500.