# What are all the factors, the prime factorization, and factor pairs of 900?

To find the factors of 900, divide 900 by each number starting with 1 and working up to 900

## 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 900 ?

To calculate the factors of 900 , you can use the division method.

1. Begin by dividing 900 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 900.

3. Continue dividing 900 by larger numbers until you find an odd number that does not divide evenly into 900 .

4. The numbers that divide evenly into 900 are the factors of 900 .

Now let us find how to calculate all the factors of Nine hundred :

900 ÷ 1 = 900
900 ÷ 2 = 450
900 ÷ 3 = 300
900 ÷ 4 = 225
900 ÷ 5 = 180
900 ÷ 6 = 150
900 ÷ 9 = 100
900 ÷ 10 = 90
900 ÷ 12 = 75
900 ÷ 15 = 60
900 ÷ 18 = 50
900 ÷ 20 = 45
900 ÷ 25 = 36
900 ÷ 30 = 30
900 ÷ 36 = 25
900 ÷ 45 = 20
900 ÷ 50 = 18
900 ÷ 60 = 15
900 ÷ 75 = 12
900 ÷ 90 = 10
900 ÷ 100 = 9
900 ÷ 150 = 6
900 ÷ 180 = 5
900 ÷ 225 = 4
900 ÷ 300 = 3
900 ÷ 450 = 2
900 ÷ 900 = 1

As you can see, the factors of 900 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 50 , 60 , 75 , 90 , 100 , 150 , 180 , 225 , 300 , 450 and 900 .

## How many factors of 900 are there ?

The factors of 900 are the numbers that can evenly divide 900 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 50 , 60 , 75 , 90 , 100 , 150 , 180 , 225 , 300 , 450 and 900.

Thus, there are a total of 27 factors of 900

## What are the factor pairs of 900 ?

Factor Pairs of 900 are combinations of two factors that when multiplied together equal 900. There are many ways to calculate the factor pairs of 900 .

One easy way is to list out the factors of 900 :
1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 50 , 60 , 75 , 90 , 100 , 150 , 180 , 225 , 300 , 450 , 900

Then, pair up the factors:
(1,900),(2,450),(3,300),(4,225),(5,180),(6,150),(9,100),(10,90),(12,75),(15,60),(18,50),(20,45),(25,36) and (30,30) These are the factor pairs of 900 .

## Prime Factorisation of 900

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 900 using a factor tree, we would start by writing 900 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 900 would be 2 x 2 x 3 x 3 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 900 using this method, we keep dividing until it gives a non-zero remainder.

900 ÷ 2 = 450
450 ÷ 2 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 900 ?

The factors of 900 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 50 , 60 , 75 , 90 , 100 , 150 , 180 , 225 , 300 , 450 and 900.

### What is the prime factorization of 900 ?

The prime factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5 or 22 x 32 x 52, where 2 , 3 , 5 are the prime numbers .

### What are the prime factors of 900 ?

The prime factors of 900 are 2 , 3 , 5 .

### Is 900 a prime number ?

A prime number is a number that has only two factors 1 and itself.
900 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 50 , 60 , 75 , 90 , 100 , 150 , 180 , 225 , 300 , 450 and 900.