What are all the factors, the prime factorization, and factor pairs of 72000?

To find the factors of 72000, divide 72000 by each number starting with 1 and working up to 72000

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 72000 ?

To calculate the factors of 72000 , you can use the division method.

   1. Begin by dividing 72000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 72000.

   3. Continue dividing 72000 by larger numbers until you find an odd number that does not divide evenly into 72000 .

   4. The numbers that divide evenly into 72000 are the factors of 72000 .

Now let us find how to calculate all the factors of Seventy-two thousand :

    72000 ÷ 1 = 72000
    72000 ÷ 2 = 36000
    72000 ÷ 3 = 24000
    72000 ÷ 4 = 18000
    72000 ÷ 5 = 14400
    72000 ÷ 6 = 12000
    72000 ÷ 8 = 9000
    72000 ÷ 9 = 8000
    72000 ÷ 10 = 7200
    72000 ÷ 12 = 6000
    72000 ÷ 15 = 4800
    72000 ÷ 16 = 4500
    72000 ÷ 18 = 4000
    72000 ÷ 20 = 3600
    72000 ÷ 24 = 3000
    72000 ÷ 25 = 2880
    72000 ÷ 30 = 2400
    72000 ÷ 32 = 2250
    72000 ÷ 36 = 2000
    72000 ÷ 40 = 1800
    72000 ÷ 45 = 1600
    72000 ÷ 48 = 1500
    72000 ÷ 50 = 1440
    72000 ÷ 60 = 1200
    72000 ÷ 64 = 1125
    72000 ÷ 72 = 1000
    72000 ÷ 75 = 960
    72000 ÷ 80 = 900
    72000 ÷ 90 = 800
    72000 ÷ 96 = 750
    72000 ÷ 100 = 720
    72000 ÷ 120 = 600
    72000 ÷ 125 = 576
    72000 ÷ 144 = 500
    72000 ÷ 150 = 480
    72000 ÷ 160 = 450
    72000 ÷ 180 = 400
    72000 ÷ 192 = 375
    72000 ÷ 200 = 360
    72000 ÷ 225 = 320
    72000 ÷ 240 = 300
    72000 ÷ 250 = 288
    72000 ÷ 288 = 250
    72000 ÷ 300 = 240
    72000 ÷ 320 = 225
    72000 ÷ 360 = 200
    72000 ÷ 375 = 192
    72000 ÷ 400 = 180
    72000 ÷ 450 = 160
    72000 ÷ 480 = 150
    72000 ÷ 500 = 144
    72000 ÷ 576 = 125
    72000 ÷ 600 = 120
    72000 ÷ 720 = 100
    72000 ÷ 750 = 96
    72000 ÷ 800 = 90
    72000 ÷ 900 = 80
    72000 ÷ 960 = 75
    72000 ÷ 1000 = 72
    72000 ÷ 1125 = 64
    72000 ÷ 1200 = 60
    72000 ÷ 1440 = 50
    72000 ÷ 1500 = 48
    72000 ÷ 1600 = 45
    72000 ÷ 1800 = 40
    72000 ÷ 2000 = 36
    72000 ÷ 2250 = 32
    72000 ÷ 2400 = 30
    72000 ÷ 2880 = 25
    72000 ÷ 3000 = 24
    72000 ÷ 3600 = 20
    72000 ÷ 4000 = 18
    72000 ÷ 4500 = 16
    72000 ÷ 4800 = 15
    72000 ÷ 6000 = 12
    72000 ÷ 7200 = 10
    72000 ÷ 8000 = 9
    72000 ÷ 9000 = 8
    72000 ÷ 12000 = 6
    72000 ÷ 14400 = 5
    72000 ÷ 18000 = 4
    72000 ÷ 24000 = 3
    72000 ÷ 36000 = 2
    72000 ÷ 72000 = 1

As you can see, the factors of 72000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 120 , 125 , 144 , 150 , 160 , 180 , 192 , 200 , 225 , 240 , 250 , 288 , 300 , 320 , 360 , 375 , 400 , 450 , 480 , 500 , 576 , 600 , 720 , 750 , 800 , 900 , 960 , 1000 , 1125 , 1200 , 1440 , 1500 , 1600 , 1800 , 2000 , 2250 , 2400 , 2880 , 3000 , 3600 , 4000 , 4500 , 4800 , 6000 , 7200 , 8000 , 9000 , 12000 , 14400 , 18000 , 24000 , 36000 and 72000 .

How to Write Numbers in French Similar to 72000?

How many factors of 72000 are there ?

The factors of 72000 are the numbers that can evenly divide 72000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 120 , 125 , 144 , 150 , 160 , 180 , 192 , 200 , 225 , 240 , 250 , 288 , 300 , 320 , 360 , 375 , 400 , 450 , 480 , 500 , 576 , 600 , 720 , 750 , 800 , 900 , 960 , 1000 , 1125 , 1200 , 1440 , 1500 , 1600 , 1800 , 2000 , 2250 , 2400 , 2880 , 3000 , 3600 , 4000 , 4500 , 4800 , 6000 , 7200 , 8000 , 9000 , 12000 , 14400 , 18000 , 24000 , 36000 and 72000.

Thus, there are a total of 84 factors of 72000

What are the factor pairs of 72000 ?

Factor Pairs of 72000 are combinations of two factors that when multiplied together equal 72000. There are many ways to calculate the factor pairs of 72000 .

One easy way is to list out the factors of 72000 :
   1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 120 , 125 , 144 , 150 , 160 , 180 , 192 , 200 , 225 , 240 , 250 , 288 , 300 , 320 , 360 , 375 , 400 , 450 , 480 , 500 , 576 , 600 , 720 , 750 , 800 , 900 , 960 , 1000 , 1125 , 1200 , 1440 , 1500 , 1600 , 1800 , 2000 , 2250 , 2400 , 2880 , 3000 , 3600 , 4000 , 4500 , 4800 , 6000 , 7200 , 8000 , 9000 , 12000 , 14400 , 18000 , 24000 , 36000 , 72000

Then, pair up the factors:
   (1,72000),(2,36000),(3,24000),(4,18000),(5,14400),(6,12000),(8,9000),(9,8000),(10,7200),(12,6000),(15,4800),(16,4500),(18,4000),(20,3600),(24,3000),(25,2880),(30,2400),(32,2250),(36,2000),(40,1800),(45,1600),(48,1500),(50,1440),(60,1200),(64,1125),(72,1000),(75,960),(80,900),(90,800),(96,750),(100,720),(120,600),(125,576),(144,500),(150,480),(160,450),(180,400),(192,375),(200,360),(225,320),(240,300) and (250,288) These are the factor pairs of 72000 .

Prime Factorisation of 72000

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 72000 using a factor tree, we would start by writing 72000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 72000 would be 2 x 2 x 2 x 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 72000 using this method, we keep dividing until it gives a non-zero remainder.

    72000 ÷ 2 = 36000
    36000 ÷ 2 = 18000
    18000 ÷ 2 = 9000
    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 72000 are 2 x 2 x 2 x 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 72000 ?

The factors of 72000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 120 , 125 , 144 , 150 , 160 , 180 , 192 , 200 , 225 , 240 , 250 , 288 , 300 , 320 , 360 , 375 , 400 , 450 , 480 , 500 , 576 , 600 , 720 , 750 , 800 , 900 , 960 , 1000 , 1125 , 1200 , 1440 , 1500 , 1600 , 1800 , 2000 , 2250 , 2400 , 2880 , 3000 , 3600 , 4000 , 4500 , 4800 , 6000 , 7200 , 8000 , 9000 , 12000 , 14400 , 18000 , 24000 , 36000 and 72000.

What is the prime factorization of 72000 ?

The prime factorization of 72000 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 or 26 x 32 x 53, where 2 , 3 , 5 are the prime numbers .

What are the prime factors of 72000 ?

The prime factors of 72000 are 2 , 3 , 5 .

Is 72000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
72000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 32 , 36 , 40 , 45 , 48 , 50 , 60 , 64 , 72 , 75 , 80 , 90 , 96 , 100 , 120 , 125 , 144 , 150 , 160 , 180 , 192 , 200 , 225 , 240 , 250 , 288 , 300 , 320 , 360 , 375 , 400 , 450 , 480 , 500 , 576 , 600 , 720 , 750 , 800 , 900 , 960 , 1000 , 1125 , 1200 , 1440 , 1500 , 1600 , 1800 , 2000 , 2250 , 2400 , 2880 , 3000 , 3600 , 4000 , 4500 , 4800 , 6000 , 7200 , 8000 , 9000 , 12000 , 14400 , 18000 , 24000 , 36000 and 72000.

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