# What are all the factors, the prime factorization, and factor pairs of 725500?

To find the factors of 725500, divide 725500 by each number starting with 1 and working up to 725500

## 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 725500 ?

To calculate the factors of 725500 , you can use the division method.

1. Begin by dividing 725500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 725500.

3. Continue dividing 725500 by larger numbers until you find an odd number that does not divide evenly into 725500 .

4. The numbers that divide evenly into 725500 are the factors of 725500 .

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

725500 ÷ 1 = 725500
725500 ÷ 2 = 362750
725500 ÷ 4 = 181375
725500 ÷ 5 = 145100
725500 ÷ 10 = 72550
725500 ÷ 20 = 36275
725500 ÷ 25 = 29020
725500 ÷ 50 = 14510
725500 ÷ 100 = 7255
725500 ÷ 125 = 5804
725500 ÷ 250 = 2902
725500 ÷ 500 = 1451
725500 ÷ 1451 = 500
725500 ÷ 2902 = 250
725500 ÷ 5804 = 125
725500 ÷ 7255 = 100
725500 ÷ 14510 = 50
725500 ÷ 29020 = 25
725500 ÷ 36275 = 20
725500 ÷ 72550 = 10
725500 ÷ 145100 = 5
725500 ÷ 181375 = 4
725500 ÷ 362750 = 2
725500 ÷ 725500 = 1

As you can see, the factors of 725500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1451 , 2902 , 5804 , 7255 , 14510 , 29020 , 36275 , 72550 , 145100 , 181375 , 362750 and 725500 .

## How many factors of 725500 are there ?

The factors of 725500 are the numbers that can evenly divide 725500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1451 , 2902 , 5804 , 7255 , 14510 , 29020 , 36275 , 72550 , 145100 , 181375 , 362750 and 725500.

Thus, there are a total of 24 factors of 725500

## What are the factor pairs of 725500 ?

Factor Pairs of 725500 are combinations of two factors that when multiplied together equal 725500. There are many ways to calculate the factor pairs of 725500 .

One easy way is to list out the factors of 725500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1451 , 2902 , 5804 , 7255 , 14510 , 29020 , 36275 , 72550 , 145100 , 181375 , 362750 , 725500

Then, pair up the factors:
(1,725500),(2,362750),(4,181375),(5,145100),(10,72550),(20,36275),(25,29020),(50,14510),(100,7255),(125,5804),(250,2902) and (500,1451) These are the factor pairs of 725500 .

## Prime Factorisation of 725500

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 725500 using a factor tree, we would start by writing 725500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 725500 would be 2 x 2 x 5 x 5 x 5 x 1451.

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 725500 using this method, we keep dividing until it gives a non-zero remainder.

725500 ÷ 2 = 362750
362750 ÷ 2 = 181375
181375 ÷ 5 = 36275
36275 ÷ 5 = 7255
7255 ÷ 5 = 1451
1451 ÷ 1451 = 1

So the prime factors of 725500 are 2 x 2 x 5 x 5 x 5 x 1451.

## Frequently Asked Questions on Factors

### What are all the factors of 725500 ?

The factors of 725500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1451 , 2902 , 5804 , 7255 , 14510 , 29020 , 36275 , 72550 , 145100 , 181375 , 362750 and 725500.

### What is the prime factorization of 725500 ?

The prime factorization of 725500 is 2 x 2 x 5 x 5 x 5 x 1451 or 22 x 53 x 14511, where 2 , 5 , 1451 are the prime numbers .

### What are the prime factors of 725500 ?

The prime factors of 725500 are 2 , 5 , 1451 .

### Is 725500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
725500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 1451 , 2902 , 5804 , 7255 , 14510 , 29020 , 36275 , 72550 , 145100 , 181375 , 362750 and 725500.