What are all the factors, the prime factorization, and factor pairs of 168000?

To find the factors of 168000, divide 168000 by each number starting with 1 and working up to 168000

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 168000 ?

To calculate the factors of 168000 , you can use the division method.

   1. Begin by dividing 168000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 168000.

   3. Continue dividing 168000 by larger numbers until you find an odd number that does not divide evenly into 168000 .

   4. The numbers that divide evenly into 168000 are the factors of 168000 .

Now let us find how to calculate all the factors of One hundred sixty-eight thousand :

    168000 ÷ 1 = 168000
    168000 ÷ 2 = 84000
    168000 ÷ 3 = 56000
    168000 ÷ 4 = 42000
    168000 ÷ 5 = 33600
    168000 ÷ 6 = 28000
    168000 ÷ 7 = 24000
    168000 ÷ 8 = 21000
    168000 ÷ 10 = 16800
    168000 ÷ 12 = 14000
    168000 ÷ 14 = 12000
    168000 ÷ 15 = 11200
    168000 ÷ 16 = 10500
    168000 ÷ 20 = 8400
    168000 ÷ 21 = 8000
    168000 ÷ 24 = 7000
    168000 ÷ 25 = 6720
    168000 ÷ 28 = 6000
    168000 ÷ 30 = 5600
    168000 ÷ 32 = 5250
    168000 ÷ 35 = 4800
    168000 ÷ 40 = 4200
    168000 ÷ 42 = 4000
    168000 ÷ 48 = 3500
    168000 ÷ 50 = 3360
    168000 ÷ 56 = 3000
    168000 ÷ 60 = 2800
    168000 ÷ 64 = 2625
    168000 ÷ 70 = 2400
    168000 ÷ 75 = 2240
    168000 ÷ 80 = 2100
    168000 ÷ 84 = 2000
    168000 ÷ 96 = 1750
    168000 ÷ 100 = 1680
    168000 ÷ 105 = 1600
    168000 ÷ 112 = 1500
    168000 ÷ 120 = 1400
    168000 ÷ 125 = 1344
    168000 ÷ 140 = 1200
    168000 ÷ 150 = 1120
    168000 ÷ 160 = 1050
    168000 ÷ 168 = 1000
    168000 ÷ 175 = 960
    168000 ÷ 192 = 875
    168000 ÷ 200 = 840
    168000 ÷ 210 = 800
    168000 ÷ 224 = 750
    168000 ÷ 240 = 700
    168000 ÷ 250 = 672
    168000 ÷ 280 = 600
    168000 ÷ 300 = 560
    168000 ÷ 320 = 525
    168000 ÷ 336 = 500
    168000 ÷ 350 = 480
    168000 ÷ 375 = 448
    168000 ÷ 400 = 420
    168000 ÷ 420 = 400
    168000 ÷ 448 = 375
    168000 ÷ 480 = 350
    168000 ÷ 500 = 336
    168000 ÷ 525 = 320
    168000 ÷ 560 = 300
    168000 ÷ 600 = 280
    168000 ÷ 672 = 250
    168000 ÷ 700 = 240
    168000 ÷ 750 = 224
    168000 ÷ 800 = 210
    168000 ÷ 840 = 200
    168000 ÷ 875 = 192
    168000 ÷ 960 = 175
    168000 ÷ 1000 = 168
    168000 ÷ 1050 = 160
    168000 ÷ 1120 = 150
    168000 ÷ 1200 = 140
    168000 ÷ 1344 = 125
    168000 ÷ 1400 = 120
    168000 ÷ 1500 = 112
    168000 ÷ 1600 = 105
    168000 ÷ 1680 = 100
    168000 ÷ 1750 = 96
    168000 ÷ 2000 = 84
    168000 ÷ 2100 = 80
    168000 ÷ 2240 = 75
    168000 ÷ 2400 = 70
    168000 ÷ 2625 = 64
    168000 ÷ 2800 = 60
    168000 ÷ 3000 = 56
    168000 ÷ 3360 = 50
    168000 ÷ 3500 = 48
    168000 ÷ 4000 = 42
    168000 ÷ 4200 = 40
    168000 ÷ 4800 = 35
    168000 ÷ 5250 = 32
    168000 ÷ 5600 = 30
    168000 ÷ 6000 = 28
    168000 ÷ 6720 = 25
    168000 ÷ 7000 = 24
    168000 ÷ 8000 = 21
    168000 ÷ 8400 = 20
    168000 ÷ 10500 = 16
    168000 ÷ 11200 = 15
    168000 ÷ 12000 = 14
    168000 ÷ 14000 = 12
    168000 ÷ 16800 = 10
    168000 ÷ 21000 = 8
    168000 ÷ 24000 = 7
    168000 ÷ 28000 = 6
    168000 ÷ 33600 = 5
    168000 ÷ 42000 = 4
    168000 ÷ 56000 = 3
    168000 ÷ 84000 = 2
    168000 ÷ 168000 = 1

As you can see, the factors of 168000 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 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 320 , 336 , 350 , 375 , 400 , 420 , 448 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 960 , 1000 , 1050 , 1120 , 1200 , 1344 , 1400 , 1500 , 1600 , 1680 , 1750 , 2000 , 2100 , 2240 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 4800 , 5250 , 5600 , 6000 , 6720 , 7000 , 8000 , 8400 , 10500 , 11200 , 12000 , 14000 , 16800 , 21000 , 24000 , 28000 , 33600 , 42000 , 56000 , 84000 and 168000 .

How to Write Numbers in French Similar to 168000?

How many factors of 168000 are there ?

The factors of 168000 are the numbers that can evenly divide 168000 . 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 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 320 , 336 , 350 , 375 , 400 , 420 , 448 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 960 , 1000 , 1050 , 1120 , 1200 , 1344 , 1400 , 1500 , 1600 , 1680 , 1750 , 2000 , 2100 , 2240 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 4800 , 5250 , 5600 , 6000 , 6720 , 7000 , 8000 , 8400 , 10500 , 11200 , 12000 , 14000 , 16800 , 21000 , 24000 , 28000 , 33600 , 42000 , 56000 , 84000 and 168000.

Thus, there are a total of 112 factors of 168000

What are the factor pairs of 168000 ?

Factor Pairs of 168000 are combinations of two factors that when multiplied together equal 168000. There are many ways to calculate the factor pairs of 168000 .

One easy way is to list out the factors of 168000 :
   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 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 320 , 336 , 350 , 375 , 400 , 420 , 448 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 960 , 1000 , 1050 , 1120 , 1200 , 1344 , 1400 , 1500 , 1600 , 1680 , 1750 , 2000 , 2100 , 2240 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 4800 , 5250 , 5600 , 6000 , 6720 , 7000 , 8000 , 8400 , 10500 , 11200 , 12000 , 14000 , 16800 , 21000 , 24000 , 28000 , 33600 , 42000 , 56000 , 84000 , 168000

Then, pair up the factors:
   (1,168000),(2,84000),(3,56000),(4,42000),(5,33600),(6,28000),(7,24000),(8,21000),(10,16800),(12,14000),(14,12000),(15,11200),(16,10500),(20,8400),(21,8000),(24,7000),(25,6720),(28,6000),(30,5600),(32,5250),(35,4800),(40,4200),(42,4000),(48,3500),(50,3360),(56,3000),(60,2800),(64,2625),(70,2400),(75,2240),(80,2100),(84,2000),(96,1750),(100,1680),(105,1600),(112,1500),(120,1400),(125,1344),(140,1200),(150,1120),(160,1050),(168,1000),(175,960),(192,875),(200,840),(210,800),(224,750),(240,700),(250,672),(280,600),(300,560),(320,525),(336,500),(350,480),(375,448) and (400,420) These are the factor pairs of 168000 .

Prime Factorisation of 168000

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 168000 using a factor tree, we would start by writing 168000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 168000 would be 2 x 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 168000 using this method, we keep dividing until it gives a non-zero remainder.

    168000 ÷ 2 = 84000
    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 168000 are 2 x 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 168000 ?

The factors of 168000 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 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 320 , 336 , 350 , 375 , 400 , 420 , 448 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 960 , 1000 , 1050 , 1120 , 1200 , 1344 , 1400 , 1500 , 1600 , 1680 , 1750 , 2000 , 2100 , 2240 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 4800 , 5250 , 5600 , 6000 , 6720 , 7000 , 8000 , 8400 , 10500 , 11200 , 12000 , 14000 , 16800 , 21000 , 24000 , 28000 , 33600 , 42000 , 56000 , 84000 and 168000.

What is the prime factorization of 168000 ?

The prime factorization of 168000 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 or 26 x 31 x 53 x 71, where 2 , 3 , 5 , 7 are the prime numbers .

What are the prime factors of 168000 ?

The prime factors of 168000 are 2 , 3 , 5 , 7 .

Is 168000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
168000 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 , 64 , 70 , 75 , 80 , 84 , 96 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 160 , 168 , 175 , 192 , 200 , 210 , 224 , 240 , 250 , 280 , 300 , 320 , 336 , 350 , 375 , 400 , 420 , 448 , 480 , 500 , 525 , 560 , 600 , 672 , 700 , 750 , 800 , 840 , 875 , 960 , 1000 , 1050 , 1120 , 1200 , 1344 , 1400 , 1500 , 1600 , 1680 , 1750 , 2000 , 2100 , 2240 , 2400 , 2625 , 2800 , 3000 , 3360 , 3500 , 4000 , 4200 , 4800 , 5250 , 5600 , 6000 , 6720 , 7000 , 8000 , 8400 , 10500 , 11200 , 12000 , 14000 , 16800 , 21000 , 24000 , 28000 , 33600 , 42000 , 56000 , 84000 and 168000.

Other conversions of the number 168000