What are all the factors, the prime factorization, and factor pairs of 27000?

To find the factors of 27000, divide 27000 by each number starting with 1 and working up to 27000

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 27000 ?

To calculate the factors of 27000 , you can use the division method.

   1. Begin by dividing 27000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 27000.

   3. Continue dividing 27000 by larger numbers until you find an odd number that does not divide evenly into 27000 .

   4. The numbers that divide evenly into 27000 are the factors of 27000 .

Now let us find how to calculate all the factors of Twenty-seven thousand :

    27000 ÷ 1 = 27000
    27000 ÷ 2 = 13500
    27000 ÷ 3 = 9000
    27000 ÷ 4 = 6750
    27000 ÷ 5 = 5400
    27000 ÷ 6 = 4500
    27000 ÷ 8 = 3375
    27000 ÷ 9 = 3000
    27000 ÷ 10 = 2700
    27000 ÷ 12 = 2250
    27000 ÷ 15 = 1800
    27000 ÷ 18 = 1500
    27000 ÷ 20 = 1350
    27000 ÷ 24 = 1125
    27000 ÷ 25 = 1080
    27000 ÷ 27 = 1000
    27000 ÷ 30 = 900
    27000 ÷ 36 = 750
    27000 ÷ 40 = 675
    27000 ÷ 45 = 600
    27000 ÷ 50 = 540
    27000 ÷ 54 = 500
    27000 ÷ 60 = 450
    27000 ÷ 72 = 375
    27000 ÷ 75 = 360
    27000 ÷ 90 = 300
    27000 ÷ 100 = 270
    27000 ÷ 108 = 250
    27000 ÷ 120 = 225
    27000 ÷ 125 = 216
    27000 ÷ 135 = 200
    27000 ÷ 150 = 180
    27000 ÷ 180 = 150
    27000 ÷ 200 = 135
    27000 ÷ 216 = 125
    27000 ÷ 225 = 120
    27000 ÷ 250 = 108
    27000 ÷ 270 = 100
    27000 ÷ 300 = 90
    27000 ÷ 360 = 75
    27000 ÷ 375 = 72
    27000 ÷ 450 = 60
    27000 ÷ 500 = 54
    27000 ÷ 540 = 50
    27000 ÷ 600 = 45
    27000 ÷ 675 = 40
    27000 ÷ 750 = 36
    27000 ÷ 900 = 30
    27000 ÷ 1000 = 27
    27000 ÷ 1080 = 25
    27000 ÷ 1125 = 24
    27000 ÷ 1350 = 20
    27000 ÷ 1500 = 18
    27000 ÷ 1800 = 15
    27000 ÷ 2250 = 12
    27000 ÷ 2700 = 10
    27000 ÷ 3000 = 9
    27000 ÷ 3375 = 8
    27000 ÷ 4500 = 6
    27000 ÷ 5400 = 5
    27000 ÷ 6750 = 4
    27000 ÷ 9000 = 3
    27000 ÷ 13500 = 2
    27000 ÷ 27000 = 1

As you can see, the factors of 27000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 90 , 100 , 108 , 120 , 125 , 135 , 150 , 180 , 200 , 216 , 225 , 250 , 270 , 300 , 360 , 375 , 450 , 500 , 540 , 600 , 675 , 750 , 900 , 1000 , 1080 , 1125 , 1350 , 1500 , 1800 , 2250 , 2700 , 3000 , 3375 , 4500 , 5400 , 6750 , 9000 , 13500 and 27000 .

How to Write Numbers in French Similar to 27000?

How many factors of 27000 are there ?

The factors of 27000 are the numbers that can evenly divide 27000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 90 , 100 , 108 , 120 , 125 , 135 , 150 , 180 , 200 , 216 , 225 , 250 , 270 , 300 , 360 , 375 , 450 , 500 , 540 , 600 , 675 , 750 , 900 , 1000 , 1080 , 1125 , 1350 , 1500 , 1800 , 2250 , 2700 , 3000 , 3375 , 4500 , 5400 , 6750 , 9000 , 13500 and 27000.

Thus, there are a total of 64 factors of 27000

What are the factor pairs of 27000 ?

Factor Pairs of 27000 are combinations of two factors that when multiplied together equal 27000. There are many ways to calculate the factor pairs of 27000 .

One easy way is to list out the factors of 27000 :
   1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 90 , 100 , 108 , 120 , 125 , 135 , 150 , 180 , 200 , 216 , 225 , 250 , 270 , 300 , 360 , 375 , 450 , 500 , 540 , 600 , 675 , 750 , 900 , 1000 , 1080 , 1125 , 1350 , 1500 , 1800 , 2250 , 2700 , 3000 , 3375 , 4500 , 5400 , 6750 , 9000 , 13500 , 27000

Then, pair up the factors:
   (1,27000),(2,13500),(3,9000),(4,6750),(5,5400),(6,4500),(8,3375),(9,3000),(10,2700),(12,2250),(15,1800),(18,1500),(20,1350),(24,1125),(25,1080),(27,1000),(30,900),(36,750),(40,675),(45,600),(50,540),(54,500),(60,450),(72,375),(75,360),(90,300),(100,270),(108,250),(120,225),(125,216),(135,200) and (150,180) These are the factor pairs of 27000 .

Prime Factorisation of 27000

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 27000 using a factor tree, we would start by writing 27000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 27000 would be 2 x 2 x 2 x 3 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 27000 using this method, we keep dividing until it gives a non-zero remainder.

    27000 ÷ 2 = 13500
    13500 ÷ 2 = 6750
    6750 ÷ 2 = 3375
    3375 ÷ 3 = 1125
    1125 ÷ 3 = 375
    375 ÷ 3 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So the prime factors of 27000 are 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5.

Frequently Asked Questions on Factors

What are all the factors of 27000 ?

The factors of 27000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 18 , 20 , 24 , 25 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 90 , 100 , 108 , 120 , 125 , 135 , 150 , 180 , 200 , 216 , 225 , 250 , 270 , 300 , 360 , 375 , 450 , 500 , 540 , 600 , 675 , 750 , 900 , 1000 , 1080 , 1125 , 1350 , 1500 , 1800 , 2250 , 2700 , 3000 , 3375 , 4500 , 5400 , 6750 , 9000 , 13500 and 27000.

What is the prime factorization of 27000 ?

The prime factorization of 27000 is 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 or 23 x 33 x 53, where 2 , 3 , 5 are the prime numbers .

What are the prime factors of 27000 ?

The prime factors of 27000 are 2 , 3 , 5 .

Is 27000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
27000 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 , 27 , 30 , 36 , 40 , 45 , 50 , 54 , 60 , 72 , 75 , 90 , 100 , 108 , 120 , 125 , 135 , 150 , 180 , 200 , 216 , 225 , 250 , 270 , 300 , 360 , 375 , 450 , 500 , 540 , 600 , 675 , 750 , 900 , 1000 , 1080 , 1125 , 1350 , 1500 , 1800 , 2250 , 2700 , 3000 , 3375 , 4500 , 5400 , 6750 , 9000 , 13500 and 27000.

Other conversions of the number 27000