What are all the factors, the prime factorization, and factor pairs of 9000?

To find the factors of 9000, divide 9000 by each number starting with 1 and working up to 9000

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 9000 ?

To calculate the factors of 9000 , you can use the division method.

   1. Begin by dividing 9000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 9000.

   3. Continue dividing 9000 by larger numbers until you find an odd number that does not divide evenly into 9000 .

   4. The numbers that divide evenly into 9000 are the factors of 9000 .

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

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

As you can see, the factors of 9000 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 , 750 , 900 , 1000 , 1125 , 1500 , 1800 , 2250 , 3000 , 4500 and 9000 .

How to Write Numbers in French Similar to 9000?

How many factors of 9000 are there ?

The factors of 9000 are the numbers that can evenly divide 9000 . 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 , 750 , 900 , 1000 , 1125 , 1500 , 1800 , 2250 , 3000 , 4500 and 9000.

Thus, there are a total of 48 factors of 9000

What are the factor pairs of 9000 ?

Factor Pairs of 9000 are combinations of two factors that when multiplied together equal 9000. There are many ways to calculate the factor pairs of 9000 .

One easy way is to list out the factors of 9000 :
   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 , 750 , 900 , 1000 , 1125 , 1500 , 1800 , 2250 , 3000 , 4500 , 9000

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

Prime Factorisation of 9000

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 9000 using a factor tree, we would start by writing 9000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 9000 would be 2 x 2 x 2 x 3 x 3 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 9000 using this method, we keep dividing until it gives a non-zero remainder.

    9000 ÷ 2 = 4500
    4500 ÷ 2 = 2250
    2250 ÷ 2 = 1125
    1125 ÷ 3 = 375
    375 ÷ 3 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So the prime factors of 9000 are 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5.

Frequently Asked Questions on Factors

What are all the factors of 9000 ?

The factors of 9000 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 , 750 , 900 , 1000 , 1125 , 1500 , 1800 , 2250 , 3000 , 4500 and 9000.

What is the prime factorization of 9000 ?

The prime factorization of 9000 is 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 or 23 x 32 x 53, where 2 , 3 , 5 are the prime numbers .

What are the prime factors of 9000 ?

The prime factors of 9000 are 2 , 3 , 5 .

Is 9000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
9000 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 , 750 , 900 , 1000 , 1125 , 1500 , 1800 , 2250 , 3000 , 4500 and 9000.

Other conversions of the number 9000