What are all the factors, the prime factorization, and factor pairs of 21000?

To find the factors of 21000, divide 21000 by each number starting with 1 and working up to 21000

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 21000 ?

To calculate the factors of 21000 , you can use the division method.

   1. Begin by dividing 21000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 21000.

   3. Continue dividing 21000 by larger numbers until you find an odd number that does not divide evenly into 21000 .

   4. The numbers that divide evenly into 21000 are the factors of 21000 .

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

    21000 ÷ 1 = 21000
    21000 ÷ 2 = 10500
    21000 ÷ 3 = 7000
    21000 ÷ 4 = 5250
    21000 ÷ 5 = 4200
    21000 ÷ 6 = 3500
    21000 ÷ 7 = 3000
    21000 ÷ 8 = 2625
    21000 ÷ 10 = 2100
    21000 ÷ 12 = 1750
    21000 ÷ 14 = 1500
    21000 ÷ 15 = 1400
    21000 ÷ 20 = 1050
    21000 ÷ 21 = 1000
    21000 ÷ 24 = 875
    21000 ÷ 25 = 840
    21000 ÷ 28 = 750
    21000 ÷ 30 = 700
    21000 ÷ 35 = 600
    21000 ÷ 40 = 525
    21000 ÷ 42 = 500
    21000 ÷ 50 = 420
    21000 ÷ 56 = 375
    21000 ÷ 60 = 350
    21000 ÷ 70 = 300
    21000 ÷ 75 = 280
    21000 ÷ 84 = 250
    21000 ÷ 100 = 210
    21000 ÷ 105 = 200
    21000 ÷ 120 = 175
    21000 ÷ 125 = 168
    21000 ÷ 140 = 150
    21000 ÷ 150 = 140
    21000 ÷ 168 = 125
    21000 ÷ 175 = 120
    21000 ÷ 200 = 105
    21000 ÷ 210 = 100
    21000 ÷ 250 = 84
    21000 ÷ 280 = 75
    21000 ÷ 300 = 70
    21000 ÷ 350 = 60
    21000 ÷ 375 = 56
    21000 ÷ 420 = 50
    21000 ÷ 500 = 42
    21000 ÷ 525 = 40
    21000 ÷ 600 = 35
    21000 ÷ 700 = 30
    21000 ÷ 750 = 28
    21000 ÷ 840 = 25
    21000 ÷ 875 = 24
    21000 ÷ 1000 = 21
    21000 ÷ 1050 = 20
    21000 ÷ 1400 = 15
    21000 ÷ 1500 = 14
    21000 ÷ 1750 = 12
    21000 ÷ 2100 = 10
    21000 ÷ 2625 = 8
    21000 ÷ 3000 = 7
    21000 ÷ 3500 = 6
    21000 ÷ 4200 = 5
    21000 ÷ 5250 = 4
    21000 ÷ 7000 = 3
    21000 ÷ 10500 = 2
    21000 ÷ 21000 = 1

As you can see, the factors of 21000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 50 , 56 , 60 , 70 , 75 , 84 , 100 , 105 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 250 , 280 , 300 , 350 , 375 , 420 , 500 , 525 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1400 , 1500 , 1750 , 2100 , 2625 , 3000 , 3500 , 4200 , 5250 , 7000 , 10500 and 21000 .

How to Write Numbers in French Similar to 21000?

How many factors of 21000 are there ?

The factors of 21000 are the numbers that can evenly divide 21000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 50 , 56 , 60 , 70 , 75 , 84 , 100 , 105 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 250 , 280 , 300 , 350 , 375 , 420 , 500 , 525 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1400 , 1500 , 1750 , 2100 , 2625 , 3000 , 3500 , 4200 , 5250 , 7000 , 10500 and 21000.

Thus, there are a total of 64 factors of 21000

What are the factor pairs of 21000 ?

Factor Pairs of 21000 are combinations of two factors that when multiplied together equal 21000. There are many ways to calculate the factor pairs of 21000 .

One easy way is to list out the factors of 21000 :
   1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 50 , 56 , 60 , 70 , 75 , 84 , 100 , 105 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 250 , 280 , 300 , 350 , 375 , 420 , 500 , 525 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1400 , 1500 , 1750 , 2100 , 2625 , 3000 , 3500 , 4200 , 5250 , 7000 , 10500 , 21000

Then, pair up the factors:
   (1,21000),(2,10500),(3,7000),(4,5250),(5,4200),(6,3500),(7,3000),(8,2625),(10,2100),(12,1750),(14,1500),(15,1400),(20,1050),(21,1000),(24,875),(25,840),(28,750),(30,700),(35,600),(40,525),(42,500),(50,420),(56,375),(60,350),(70,300),(75,280),(84,250),(100,210),(105,200),(120,175),(125,168) and (140,150) These are the factor pairs of 21000 .

Prime Factorisation of 21000

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 21000 using a factor tree, we would start by writing 21000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 21000 would be 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7.

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 21000 using this method, we keep dividing until it gives a non-zero remainder.

    21000 ÷ 2 = 10500
    10500 ÷ 2 = 5250
    5250 ÷ 2 = 2625
    2625 ÷ 3 = 875
    875 ÷ 5 = 175
    175 ÷ 5 = 35
    35 ÷ 5 = 7
    7 ÷ 7 = 1

So the prime factors of 21000 are 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7.

Frequently Asked Questions on Factors

What are all the factors of 21000 ?

The factors of 21000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 50 , 56 , 60 , 70 , 75 , 84 , 100 , 105 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 250 , 280 , 300 , 350 , 375 , 420 , 500 , 525 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1400 , 1500 , 1750 , 2100 , 2625 , 3000 , 3500 , 4200 , 5250 , 7000 , 10500 and 21000.

What is the prime factorization of 21000 ?

The prime factorization of 21000 is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 or 23 x 31 x 53 x 71, where 2 , 3 , 5 , 7 are the prime numbers .

What are the prime factors of 21000 ?

The prime factors of 21000 are 2 , 3 , 5 , 7 .

Is 21000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
21000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 50 , 56 , 60 , 70 , 75 , 84 , 100 , 105 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 250 , 280 , 300 , 350 , 375 , 420 , 500 , 525 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1400 , 1500 , 1750 , 2100 , 2625 , 3000 , 3500 , 4200 , 5250 , 7000 , 10500 and 21000.

Other conversions of the number 21000