# What are all the factors, the prime factorization, and factor pairs of 45000?

To find the factors of 45000, divide 45000 by each number starting with 1 and working up to 45000

## 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 45000 ?

To calculate the factors of 45000 , you can use the division method.

1. Begin by dividing 45000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 45000.

3. Continue dividing 45000 by larger numbers until you find an odd number that does not divide evenly into 45000 .

4. The numbers that divide evenly into 45000 are the factors of 45000 .

Now let us find how to calculate all the factors of Forty-five thousand :

45000 ÷ 1 = 45000
45000 ÷ 2 = 22500
45000 ÷ 3 = 15000
45000 ÷ 4 = 11250
45000 ÷ 5 = 9000
45000 ÷ 6 = 7500
45000 ÷ 8 = 5625
45000 ÷ 9 = 5000
45000 ÷ 10 = 4500
45000 ÷ 12 = 3750
45000 ÷ 15 = 3000
45000 ÷ 18 = 2500
45000 ÷ 20 = 2250
45000 ÷ 24 = 1875
45000 ÷ 25 = 1800
45000 ÷ 30 = 1500
45000 ÷ 36 = 1250
45000 ÷ 40 = 1125
45000 ÷ 45 = 1000
45000 ÷ 50 = 900
45000 ÷ 60 = 750
45000 ÷ 72 = 625
45000 ÷ 75 = 600
45000 ÷ 90 = 500
45000 ÷ 100 = 450
45000 ÷ 120 = 375
45000 ÷ 125 = 360
45000 ÷ 150 = 300
45000 ÷ 180 = 250
45000 ÷ 200 = 225
45000 ÷ 225 = 200
45000 ÷ 250 = 180
45000 ÷ 300 = 150
45000 ÷ 360 = 125
45000 ÷ 375 = 120
45000 ÷ 450 = 100
45000 ÷ 500 = 90
45000 ÷ 600 = 75
45000 ÷ 625 = 72
45000 ÷ 750 = 60
45000 ÷ 900 = 50
45000 ÷ 1000 = 45
45000 ÷ 1125 = 40
45000 ÷ 1250 = 36
45000 ÷ 1500 = 30
45000 ÷ 1800 = 25
45000 ÷ 1875 = 24
45000 ÷ 2250 = 20
45000 ÷ 2500 = 18
45000 ÷ 3000 = 15
45000 ÷ 3750 = 12
45000 ÷ 4500 = 10
45000 ÷ 5000 = 9
45000 ÷ 5625 = 8
45000 ÷ 7500 = 6
45000 ÷ 9000 = 5
45000 ÷ 11250 = 4
45000 ÷ 15000 = 3
45000 ÷ 22500 = 2
45000 ÷ 45000 = 1

As you can see, the factors of 45000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 50 , 60 , 72 , 75 , 90 , 100 , 120 , 125 , 150 , 180 , 200 , 225 , 250 , 300 , 360 , 375 , 450 , 500 , 600 , 625 , 750 , 900 , 1000 , 1125 , 1250 , 1500 , 1800 , 1875 , 2250 , 2500 , 3000 , 3750 , 4500 , 5000 , 5625 , 7500 , 9000 , 11250 , 15000 , 22500 and 45000 .

## How many factors of 45000 are there ?

The factors of 45000 are the numbers that can evenly divide 45000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 50 , 60 , 72 , 75 , 90 , 100 , 120 , 125 , 150 , 180 , 200 , 225 , 250 , 300 , 360 , 375 , 450 , 500 , 600 , 625 , 750 , 900 , 1000 , 1125 , 1250 , 1500 , 1800 , 1875 , 2250 , 2500 , 3000 , 3750 , 4500 , 5000 , 5625 , 7500 , 9000 , 11250 , 15000 , 22500 and 45000.

Thus, there are a total of 60 factors of 45000

## What are the factor pairs of 45000 ?

Factor Pairs of 45000 are combinations of two factors that when multiplied together equal 45000. There are many ways to calculate the factor pairs of 45000 .

One easy way is to list out the factors of 45000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 50 , 60 , 72 , 75 , 90 , 100 , 120 , 125 , 150 , 180 , 200 , 225 , 250 , 300 , 360 , 375 , 450 , 500 , 600 , 625 , 750 , 900 , 1000 , 1125 , 1250 , 1500 , 1800 , 1875 , 2250 , 2500 , 3000 , 3750 , 4500 , 5000 , 5625 , 7500 , 9000 , 11250 , 15000 , 22500 , 45000

Then, pair up the factors:
(1,45000),(2,22500),(3,15000),(4,11250),(5,9000),(6,7500),(8,5625),(9,5000),(10,4500),(12,3750),(15,3000),(18,2500),(20,2250),(24,1875),(25,1800),(30,1500),(36,1250),(40,1125),(45,1000),(50,900),(60,750),(72,625),(75,600),(90,500),(100,450),(120,375),(125,360),(150,300),(180,250) and (200,225) These are the factor pairs of 45000 .

## Prime Factorisation of 45000

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 45000 using a factor tree, we would start by writing 45000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 45000 would be 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5.

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 45000 using this method, we keep dividing until it gives a non-zero remainder.

45000 ÷ 2 = 22500
22500 ÷ 2 = 11250
11250 ÷ 2 = 5625
5625 ÷ 3 = 1875
1875 ÷ 3 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 45000 are 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 45000 ?

The factors of 45000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 50 , 60 , 72 , 75 , 90 , 100 , 120 , 125 , 150 , 180 , 200 , 225 , 250 , 300 , 360 , 375 , 450 , 500 , 600 , 625 , 750 , 900 , 1000 , 1125 , 1250 , 1500 , 1800 , 1875 , 2250 , 2500 , 3000 , 3750 , 4500 , 5000 , 5625 , 7500 , 9000 , 11250 , 15000 , 22500 and 45000.

### What is the prime factorization of 45000 ?

The prime factorization of 45000 is 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 or 23 x 32 x 54, where 2 , 3 , 5 are the prime numbers .

### What are the prime factors of 45000 ?

The prime factors of 45000 are 2 , 3 , 5 .

### Is 45000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
45000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 30 , 36 , 40 , 45 , 50 , 60 , 72 , 75 , 90 , 100 , 120 , 125 , 150 , 180 , 200 , 225 , 250 , 300 , 360 , 375 , 450 , 500 , 600 , 625 , 750 , 900 , 1000 , 1125 , 1250 , 1500 , 1800 , 1875 , 2250 , 2500 , 3000 , 3750 , 4500 , 5000 , 5625 , 7500 , 9000 , 11250 , 15000 , 22500 and 45000.