What are all the factors, the prime factorization, and factor pairs of 42000?

To find the factors of 42000, divide 42000 by each number starting with 1 and working up to 42000

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 42000 ?

To calculate the factors of 42000 , you can use the division method.

   1. Begin by dividing 42000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 42000.

   3. Continue dividing 42000 by larger numbers until you find an odd number that does not divide evenly into 42000 .

   4. The numbers that divide evenly into 42000 are the factors of 42000 .

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

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

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

How to Write Numbers in French Similar to 42000?

How many factors of 42000 are there ?

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

Thus, there are a total of 80 factors of 42000

What are the factor pairs of 42000 ?

Factor Pairs of 42000 are combinations of two factors that when multiplied together equal 42000. There are many ways to calculate the factor pairs of 42000 .

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

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

Prime Factorisation of 42000

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 42000 using a factor tree, we would start by writing 42000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 42000 would be 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 42000 using this method, we keep dividing until it gives a non-zero remainder.

    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 42000 are 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 42000 ?

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

What is the prime factorization of 42000 ?

The prime factorization of 42000 is 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 or 24 x 31 x 53 x 71, where 2 , 3 , 5 , 7 are the prime numbers .

What are the prime factors of 42000 ?

The prime factors of 42000 are 2 , 3 , 5 , 7 .

Is 42000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
42000 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 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 500 , 525 , 560 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2625 , 2800 , 3000 , 3500 , 4200 , 5250 , 6000 , 7000 , 8400 , 10500 , 14000 , 21000 and 42000.

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