# What are all the factors, the prime factorization, and factor pairs of 987500?

To find the factors of 987500, divide 987500 by each number starting with 1 and working up to 987500

## 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 987500 ?

To calculate the factors of 987500 , you can use the division method.

1. Begin by dividing 987500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 987500.

3. Continue dividing 987500 by larger numbers until you find an odd number that does not divide evenly into 987500 .

4. The numbers that divide evenly into 987500 are the factors of 987500 .

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

987500 ÷ 1 = 987500
987500 ÷ 2 = 493750
987500 ÷ 4 = 246875
987500 ÷ 5 = 197500
987500 ÷ 10 = 98750
987500 ÷ 20 = 49375
987500 ÷ 25 = 39500
987500 ÷ 50 = 19750
987500 ÷ 79 = 12500
987500 ÷ 100 = 9875
987500 ÷ 125 = 7900
987500 ÷ 158 = 6250
987500 ÷ 250 = 3950
987500 ÷ 316 = 3125
987500 ÷ 395 = 2500
987500 ÷ 500 = 1975
987500 ÷ 625 = 1580
987500 ÷ 790 = 1250
987500 ÷ 1250 = 790
987500 ÷ 1580 = 625
987500 ÷ 1975 = 500
987500 ÷ 2500 = 395
987500 ÷ 3125 = 316
987500 ÷ 3950 = 250
987500 ÷ 6250 = 158
987500 ÷ 7900 = 125
987500 ÷ 9875 = 100
987500 ÷ 12500 = 79
987500 ÷ 19750 = 50
987500 ÷ 39500 = 25
987500 ÷ 49375 = 20
987500 ÷ 98750 = 10
987500 ÷ 197500 = 5
987500 ÷ 246875 = 4
987500 ÷ 493750 = 2
987500 ÷ 987500 = 1

As you can see, the factors of 987500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 79 , 100 , 125 , 158 , 250 , 316 , 395 , 500 , 625 , 790 , 1250 , 1580 , 1975 , 2500 , 3125 , 3950 , 6250 , 7900 , 9875 , 12500 , 19750 , 39500 , 49375 , 98750 , 197500 , 246875 , 493750 and 987500 .

## How many factors of 987500 are there ?

The factors of 987500 are the numbers that can evenly divide 987500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 79 , 100 , 125 , 158 , 250 , 316 , 395 , 500 , 625 , 790 , 1250 , 1580 , 1975 , 2500 , 3125 , 3950 , 6250 , 7900 , 9875 , 12500 , 19750 , 39500 , 49375 , 98750 , 197500 , 246875 , 493750 and 987500.

Thus, there are a total of 36 factors of 987500

## What are the factor pairs of 987500 ?

Factor Pairs of 987500 are combinations of two factors that when multiplied together equal 987500. There are many ways to calculate the factor pairs of 987500 .

One easy way is to list out the factors of 987500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 79 , 100 , 125 , 158 , 250 , 316 , 395 , 500 , 625 , 790 , 1250 , 1580 , 1975 , 2500 , 3125 , 3950 , 6250 , 7900 , 9875 , 12500 , 19750 , 39500 , 49375 , 98750 , 197500 , 246875 , 493750 , 987500

Then, pair up the factors:
(1,987500),(2,493750),(4,246875),(5,197500),(10,98750),(20,49375),(25,39500),(50,19750),(79,12500),(100,9875),(125,7900),(158,6250),(250,3950),(316,3125),(395,2500),(500,1975),(625,1580) and (790,1250) These are the factor pairs of 987500 .

## Prime Factorisation of 987500

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 987500 using a factor tree, we would start by writing 987500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 987500 would be 2 x 2 x 5 x 5 x 5 x 5 x 5 x 79.

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 987500 using this method, we keep dividing until it gives a non-zero remainder.

987500 ÷ 2 = 493750
493750 ÷ 2 = 246875
246875 ÷ 5 = 49375
49375 ÷ 5 = 9875
9875 ÷ 5 = 1975
1975 ÷ 5 = 395
395 ÷ 5 = 79
79 ÷ 79 = 1

So the prime factors of 987500 are 2 x 2 x 5 x 5 x 5 x 5 x 5 x 79.

## Frequently Asked Questions on Factors

### What are all the factors of 987500 ?

The factors of 987500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 79 , 100 , 125 , 158 , 250 , 316 , 395 , 500 , 625 , 790 , 1250 , 1580 , 1975 , 2500 , 3125 , 3950 , 6250 , 7900 , 9875 , 12500 , 19750 , 39500 , 49375 , 98750 , 197500 , 246875 , 493750 and 987500.

### What is the prime factorization of 987500 ?

The prime factorization of 987500 is 2 x 2 x 5 x 5 x 5 x 5 x 5 x 79 or 22 x 55 x 791, where 2 , 5 , 79 are the prime numbers .

### What are the prime factors of 987500 ?

The prime factors of 987500 are 2 , 5 , 79 .

### Is 987500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
987500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 79 , 100 , 125 , 158 , 250 , 316 , 395 , 500 , 625 , 790 , 1250 , 1580 , 1975 , 2500 , 3125 , 3950 , 6250 , 7900 , 9875 , 12500 , 19750 , 39500 , 49375 , 98750 , 197500 , 246875 , 493750 and 987500.