# What are all the factors, the prime factorization, and factor pairs of 789500?

To find the factors of 789500, divide 789500 by each number starting with 1 and working up to 789500

## 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 789500 ?

To calculate the factors of 789500 , you can use the division method.

1. Begin by dividing 789500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 789500.

3. Continue dividing 789500 by larger numbers until you find an odd number that does not divide evenly into 789500 .

4. The numbers that divide evenly into 789500 are the factors of 789500 .

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

789500 ÷ 1 = 789500
789500 ÷ 2 = 394750
789500 ÷ 4 = 197375
789500 ÷ 5 = 157900
789500 ÷ 10 = 78950
789500 ÷ 20 = 39475
789500 ÷ 25 = 31580
789500 ÷ 50 = 15790
789500 ÷ 100 = 7895
789500 ÷ 125 = 6316
789500 ÷ 250 = 3158
789500 ÷ 500 = 1579
789500 ÷ 1579 = 500
789500 ÷ 3158 = 250
789500 ÷ 6316 = 125
789500 ÷ 7895 = 100
789500 ÷ 15790 = 50
789500 ÷ 31580 = 25
789500 ÷ 39475 = 20
789500 ÷ 78950 = 10
789500 ÷ 157900 = 5
789500 ÷ 197375 = 4
789500 ÷ 394750 = 2
789500 ÷ 789500 = 1

As you can see, the factors of 789500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1579 , 3158 , 6316 , 7895 , 15790 , 31580 , 39475 , 78950 , 157900 , 197375 , 394750 and 789500 .

## How many factors of 789500 are there ?

The factors of 789500 are the numbers that can evenly divide 789500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1579 , 3158 , 6316 , 7895 , 15790 , 31580 , 39475 , 78950 , 157900 , 197375 , 394750 and 789500.

Thus, there are a total of 24 factors of 789500

## What are the factor pairs of 789500 ?

Factor Pairs of 789500 are combinations of two factors that when multiplied together equal 789500. There are many ways to calculate the factor pairs of 789500 .

One easy way is to list out the factors of 789500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1579 , 3158 , 6316 , 7895 , 15790 , 31580 , 39475 , 78950 , 157900 , 197375 , 394750 , 789500

Then, pair up the factors:
(1,789500),(2,394750),(4,197375),(5,157900),(10,78950),(20,39475),(25,31580),(50,15790),(100,7895),(125,6316),(250,3158) and (500,1579) These are the factor pairs of 789500 .

## Prime Factorisation of 789500

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 789500 using a factor tree, we would start by writing 789500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 789500 would be 2 x 2 x 5 x 5 x 5 x 1579.

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 789500 using this method, we keep dividing until it gives a non-zero remainder.

789500 ÷ 2 = 394750
394750 ÷ 2 = 197375
197375 ÷ 5 = 39475
39475 ÷ 5 = 7895
7895 ÷ 5 = 1579
1579 ÷ 1579 = 1

So the prime factors of 789500 are 2 x 2 x 5 x 5 x 5 x 1579.

## Frequently Asked Questions on Factors

### What are all the factors of 789500 ?

The factors of 789500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1579 , 3158 , 6316 , 7895 , 15790 , 31580 , 39475 , 78950 , 157900 , 197375 , 394750 and 789500.

### What is the prime factorization of 789500 ?

The prime factorization of 789500 is 2 x 2 x 5 x 5 x 5 x 1579 or 22 x 53 x 15791, where 2 , 5 , 1579 are the prime numbers .

### What are the prime factors of 789500 ?

The prime factors of 789500 are 2 , 5 , 1579 .

### Is 789500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
789500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1579 , 3158 , 6316 , 7895 , 15790 , 31580 , 39475 , 78950 , 157900 , 197375 , 394750 and 789500.