What are all the factors, the prime factorization, and factor pairs of 84000?

To find the factors of 84000, divide 84000 by each number starting with 1 and working up to 84000

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 84000 ?

To calculate the factors of 84000 , you can use the division method.

   1. Begin by dividing 84000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 84000.

   3. Continue dividing 84000 by larger numbers until you find an odd number that does not divide evenly into 84000 .

   4. The numbers that divide evenly into 84000 are the factors of 84000 .

Now let us find how to calculate all the factors of Eighty-four thousand :

    84000 ÷ 1 = 84000
    84000 ÷ 2 = 42000
    84000 ÷ 3 = 28000
    84000 ÷ 4 = 21000
    84000 ÷ 5 = 16800
    84000 ÷ 6 = 14000
    84000 ÷ 7 = 12000
    84000 ÷ 8 = 10500
    84000 ÷ 10 = 8400
    84000 ÷ 12 = 7000
    84000 ÷ 14 = 6000
    84000 ÷ 15 = 5600
    84000 ÷ 16 = 5250
    84000 ÷ 20 = 4200
    84000 ÷ 21 = 4000
    84000 ÷ 24 = 3500
    84000 ÷ 25 = 3360
    84000 ÷ 28 = 3000
    84000 ÷ 30 = 2800
    84000 ÷ 32 = 2625
    84000 ÷ 35 = 2400
    84000 ÷ 40 = 2100
    84000 ÷ 42 = 2000
    84000 ÷ 48 = 1750
    84000 ÷ 50 = 1680
    84000 ÷ 56 = 1500
    84000 ÷ 60 = 1400
    84000 ÷ 70 = 1200
    84000 ÷ 75 = 1120
    84000 ÷ 80 = 1050
    84000 ÷ 84 = 1000
    84000 ÷ 96 = 875
    84000 ÷ 100 = 840
    84000 ÷ 105 = 800
    84000 ÷ 112 = 750
    84000 ÷ 120 = 700
    84000 ÷ 125 = 672
    84000 ÷ 140 = 600
    84000 ÷ 150 = 560
    84000 ÷ 160 = 525
    84000 ÷ 168 = 500
    84000 ÷ 175 = 480
    84000 ÷ 200 = 420
    84000 ÷ 210 = 400
    84000 ÷ 224 = 375
    84000 ÷ 240 = 350
    84000 ÷ 250 = 336
    84000 ÷ 280 = 300
    84000 ÷ 300 = 280
    84000 ÷ 336 = 250
    84000 ÷ 350 = 240
    84000 ÷ 375 = 224
    84000 ÷ 400 = 210
    84000 ÷ 420 = 200
    84000 ÷ 480 = 175
    84000 ÷ 500 = 168
    84000 ÷ 525 = 160
    84000 ÷ 560 = 150
    84000 ÷ 600 = 140
    84000 ÷ 672 = 125
    84000 ÷ 700 = 120
    84000 ÷ 750 = 112
    84000 ÷ 800 = 105
    84000 ÷ 840 = 100
    84000 ÷ 875 = 96
    84000 ÷ 1000 = 84
    84000 ÷ 1050 = 80
    84000 ÷ 1120 = 75
    84000 ÷ 1200 = 70
    84000 ÷ 1400 = 60
    84000 ÷ 1500 = 56
    84000 ÷ 1680 = 50
    84000 ÷ 1750 = 48
    84000 ÷ 2000 = 42
    84000 ÷ 2100 = 40
    84000 ÷ 2400 = 35
    84000 ÷ 2625 = 32
    84000 ÷ 2800 = 30
    84000 ÷ 3000 = 28
    84000 ÷ 3360 = 25
    84000 ÷ 3500 = 24
    84000 ÷ 4000 = 21
    84000 ÷ 4200 = 20
    84000 ÷ 5250 = 16
    84000 ÷ 5600 = 15
    84000 ÷ 6000 = 14
    84000 ÷ 7000 = 12
    84000 ÷ 8400 = 10
    84000 ÷ 10500 = 8
    84000 ÷ 12000 = 7
    84000 ÷ 14000 = 6
    84000 ÷ 16800 = 5
    84000 ÷ 21000 = 4
    84000 ÷ 28000 = 3
    84000 ÷ 42000 = 2
    84000 ÷ 84000 = 1

As you can see, the factors of 84000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 1000 , 1050 , 1120 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 5250 , 5600 , 6000 , 7000 , 8400 , 10500 , 12000 , 14000 , 16800 , 21000 , 28000 , 42000 and 84000 .

How to Write Numbers in French Similar to 84000?

How many factors of 84000 are there ?

The factors of 84000 are the numbers that can evenly divide 84000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 1000 , 1050 , 1120 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 5250 , 5600 , 6000 , 7000 , 8400 , 10500 , 12000 , 14000 , 16800 , 21000 , 28000 , 42000 and 84000.

Thus, there are a total of 96 factors of 84000

What are the factor pairs of 84000 ?

Factor Pairs of 84000 are combinations of two factors that when multiplied together equal 84000. There are many ways to calculate the factor pairs of 84000 .

One easy way is to list out the factors of 84000 :
   1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 1000 , 1050 , 1120 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 5250 , 5600 , 6000 , 7000 , 8400 , 10500 , 12000 , 14000 , 16800 , 21000 , 28000 , 42000 , 84000

Then, pair up the factors:
   (1,84000),(2,42000),(3,28000),(4,21000),(5,16800),(6,14000),(7,12000),(8,10500),(10,8400),(12,7000),(14,6000),(15,5600),(16,5250),(20,4200),(21,4000),(24,3500),(25,3360),(28,3000),(30,2800),(32,2625),(35,2400),(40,2100),(42,2000),(48,1750),(50,1680),(56,1500),(60,1400),(70,1200),(75,1120),(80,1050),(84,1000),(96,875),(100,840),(105,800),(112,750),(120,700),(125,672),(140,600),(150,560),(160,525),(168,500),(175,480),(200,420),(210,400),(224,375),(240,350),(250,336) and (280,300) These are the factor pairs of 84000 .

Prime Factorisation of 84000

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 84000 using a factor tree, we would start by writing 84000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 84000 would be 2 x 2 x 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 84000 using this method, we keep dividing until it gives a non-zero remainder.

    84000 ÷ 2 = 42000
    42000 ÷ 2 = 21000
    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 84000 are 2 x 2 x 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 84000 ?

The factors of 84000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 1000 , 1050 , 1120 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 5250 , 5600 , 6000 , 7000 , 8400 , 10500 , 12000 , 14000 , 16800 , 21000 , 28000 , 42000 and 84000.

What is the prime factorization of 84000 ?

The prime factorization of 84000 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 or 25 x 31 x 53 x 71, where 2 , 3 , 5 , 7 are the prime numbers .

What are the prime factors of 84000 ?

The prime factors of 84000 are 2 , 3 , 5 , 7 .

Is 84000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
84000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 32 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 1000 , 1050 , 1120 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 5250 , 5600 , 6000 , 7000 , 8400 , 10500 , 12000 , 14000 , 16800 , 21000 , 28000 , 42000 and 84000.

Other conversions of the number 84000