# What are all the factors, the prime factorization, and factor pairs of 487500?

To find the factors of 487500, divide 487500 by each number starting with 1 and working up to 487500

## 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 487500 ?

To calculate the factors of 487500 , you can use the division method.

1. Begin by dividing 487500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 487500.

3. Continue dividing 487500 by larger numbers until you find an odd number that does not divide evenly into 487500 .

4. The numbers that divide evenly into 487500 are the factors of 487500 .

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

487500 ÷ 1 = 487500
487500 ÷ 2 = 243750
487500 ÷ 3 = 162500
487500 ÷ 4 = 121875
487500 ÷ 5 = 97500
487500 ÷ 6 = 81250
487500 ÷ 10 = 48750
487500 ÷ 12 = 40625
487500 ÷ 13 = 37500
487500 ÷ 15 = 32500
487500 ÷ 20 = 24375
487500 ÷ 25 = 19500
487500 ÷ 26 = 18750
487500 ÷ 30 = 16250
487500 ÷ 39 = 12500
487500 ÷ 50 = 9750
487500 ÷ 52 = 9375
487500 ÷ 60 = 8125
487500 ÷ 65 = 7500
487500 ÷ 75 = 6500
487500 ÷ 78 = 6250
487500 ÷ 100 = 4875
487500 ÷ 125 = 3900
487500 ÷ 130 = 3750
487500 ÷ 150 = 3250
487500 ÷ 156 = 3125
487500 ÷ 195 = 2500
487500 ÷ 250 = 1950
487500 ÷ 260 = 1875
487500 ÷ 300 = 1625
487500 ÷ 325 = 1500
487500 ÷ 375 = 1300
487500 ÷ 390 = 1250
487500 ÷ 500 = 975
487500 ÷ 625 = 780
487500 ÷ 650 = 750
487500 ÷ 750 = 650
487500 ÷ 780 = 625
487500 ÷ 975 = 500
487500 ÷ 1250 = 390
487500 ÷ 1300 = 375
487500 ÷ 1500 = 325
487500 ÷ 1625 = 300
487500 ÷ 1875 = 260
487500 ÷ 1950 = 250
487500 ÷ 2500 = 195
487500 ÷ 3125 = 156
487500 ÷ 3250 = 150
487500 ÷ 3750 = 130
487500 ÷ 3900 = 125
487500 ÷ 4875 = 100
487500 ÷ 6250 = 78
487500 ÷ 6500 = 75
487500 ÷ 7500 = 65
487500 ÷ 8125 = 60
487500 ÷ 9375 = 52
487500 ÷ 9750 = 50
487500 ÷ 12500 = 39
487500 ÷ 16250 = 30
487500 ÷ 18750 = 26
487500 ÷ 19500 = 25
487500 ÷ 24375 = 20
487500 ÷ 32500 = 15
487500 ÷ 37500 = 13
487500 ÷ 40625 = 12
487500 ÷ 48750 = 10
487500 ÷ 81250 = 6
487500 ÷ 97500 = 5
487500 ÷ 121875 = 4
487500 ÷ 162500 = 3
487500 ÷ 243750 = 2
487500 ÷ 487500 = 1

As you can see, the factors of 487500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 13 , 15 , 20 , 25 , 26 , 30 , 39 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 125 , 130 , 150 , 156 , 195 , 250 , 260 , 300 , 325 , 375 , 390 , 500 , 625 , 650 , 750 , 780 , 975 , 1250 , 1300 , 1500 , 1625 , 1875 , 1950 , 2500 , 3125 , 3250 , 3750 , 3900 , 4875 , 6250 , 6500 , 7500 , 8125 , 9375 , 9750 , 12500 , 16250 , 18750 , 19500 , 24375 , 32500 , 37500 , 40625 , 48750 , 81250 , 97500 , 121875 , 162500 , 243750 and 487500 .

## How many factors of 487500 are there ?

The factors of 487500 are the numbers that can evenly divide 487500 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 13 , 15 , 20 , 25 , 26 , 30 , 39 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 125 , 130 , 150 , 156 , 195 , 250 , 260 , 300 , 325 , 375 , 390 , 500 , 625 , 650 , 750 , 780 , 975 , 1250 , 1300 , 1500 , 1625 , 1875 , 1950 , 2500 , 3125 , 3250 , 3750 , 3900 , 4875 , 6250 , 6500 , 7500 , 8125 , 9375 , 9750 , 12500 , 16250 , 18750 , 19500 , 24375 , 32500 , 37500 , 40625 , 48750 , 81250 , 97500 , 121875 , 162500 , 243750 and 487500.

Thus, there are a total of 72 factors of 487500

## What are the factor pairs of 487500 ?

Factor Pairs of 487500 are combinations of two factors that when multiplied together equal 487500. There are many ways to calculate the factor pairs of 487500 .

One easy way is to list out the factors of 487500 :
1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 13 , 15 , 20 , 25 , 26 , 30 , 39 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 125 , 130 , 150 , 156 , 195 , 250 , 260 , 300 , 325 , 375 , 390 , 500 , 625 , 650 , 750 , 780 , 975 , 1250 , 1300 , 1500 , 1625 , 1875 , 1950 , 2500 , 3125 , 3250 , 3750 , 3900 , 4875 , 6250 , 6500 , 7500 , 8125 , 9375 , 9750 , 12500 , 16250 , 18750 , 19500 , 24375 , 32500 , 37500 , 40625 , 48750 , 81250 , 97500 , 121875 , 162500 , 243750 , 487500

Then, pair up the factors:
(1,487500),(2,243750),(3,162500),(4,121875),(5,97500),(6,81250),(10,48750),(12,40625),(13,37500),(15,32500),(20,24375),(25,19500),(26,18750),(30,16250),(39,12500),(50,9750),(52,9375),(60,8125),(65,7500),(75,6500),(78,6250),(100,4875),(125,3900),(130,3750),(150,3250),(156,3125),(195,2500),(250,1950),(260,1875),(300,1625),(325,1500),(375,1300),(390,1250),(500,975),(625,780) and (650,750) These are the factor pairs of 487500 .

## Prime Factorisation of 487500

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 487500 using a factor tree, we would start by writing 487500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 487500 would be 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 13.

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 487500 using this method, we keep dividing until it gives a non-zero remainder.

487500 ÷ 2 = 243750
243750 ÷ 2 = 121875
121875 ÷ 3 = 40625
40625 ÷ 5 = 8125
8125 ÷ 5 = 1625
1625 ÷ 5 = 325
325 ÷ 5 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1

So the prime factors of 487500 are 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 13.

## Frequently Asked Questions on Factors

### What are all the factors of 487500 ?

The factors of 487500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 13 , 15 , 20 , 25 , 26 , 30 , 39 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 125 , 130 , 150 , 156 , 195 , 250 , 260 , 300 , 325 , 375 , 390 , 500 , 625 , 650 , 750 , 780 , 975 , 1250 , 1300 , 1500 , 1625 , 1875 , 1950 , 2500 , 3125 , 3250 , 3750 , 3900 , 4875 , 6250 , 6500 , 7500 , 8125 , 9375 , 9750 , 12500 , 16250 , 18750 , 19500 , 24375 , 32500 , 37500 , 40625 , 48750 , 81250 , 97500 , 121875 , 162500 , 243750 and 487500.

### What is the prime factorization of 487500 ?

The prime factorization of 487500 is 2 x 2 x 3 x 5 x 5 x 5 x 5 x 5 x 13 or 22 x 31 x 55 x 131, where 2 , 3 , 5 , 13 are the prime numbers .

### What are the prime factors of 487500 ?

The prime factors of 487500 are 2 , 3 , 5 , 13 .

### Is 487500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
487500 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 13 , 15 , 20 , 25 , 26 , 30 , 39 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 125 , 130 , 150 , 156 , 195 , 250 , 260 , 300 , 325 , 375 , 390 , 500 , 625 , 650 , 750 , 780 , 975 , 1250 , 1300 , 1500 , 1625 , 1875 , 1950 , 2500 , 3125 , 3250 , 3750 , 3900 , 4875 , 6250 , 6500 , 7500 , 8125 , 9375 , 9750 , 12500 , 16250 , 18750 , 19500 , 24375 , 32500 , 37500 , 40625 , 48750 , 81250 , 97500 , 121875 , 162500 , 243750 and 487500.