What are all the factors, the prime factorization, and factor pairs of 472000?

To find the factors of 472000, divide 472000 by each number starting with 1 and working up to 472000

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 472000 ?

To calculate the factors of 472000 , you can use the division method.

   1. Begin by dividing 472000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 472000.

   3. Continue dividing 472000 by larger numbers until you find an odd number that does not divide evenly into 472000 .

   4. The numbers that divide evenly into 472000 are the factors of 472000 .

Now let us find how to calculate all the factors of Four hundred seventy-two thousand :

    472000 ÷ 1 = 472000
    472000 ÷ 2 = 236000
    472000 ÷ 4 = 118000
    472000 ÷ 5 = 94400
    472000 ÷ 8 = 59000
    472000 ÷ 10 = 47200
    472000 ÷ 16 = 29500
    472000 ÷ 20 = 23600
    472000 ÷ 25 = 18880
    472000 ÷ 32 = 14750
    472000 ÷ 40 = 11800
    472000 ÷ 50 = 9440
    472000 ÷ 59 = 8000
    472000 ÷ 64 = 7375
    472000 ÷ 80 = 5900
    472000 ÷ 100 = 4720
    472000 ÷ 118 = 4000
    472000 ÷ 125 = 3776
    472000 ÷ 160 = 2950
    472000 ÷ 200 = 2360
    472000 ÷ 236 = 2000
    472000 ÷ 250 = 1888
    472000 ÷ 295 = 1600
    472000 ÷ 320 = 1475
    472000 ÷ 400 = 1180
    472000 ÷ 472 = 1000
    472000 ÷ 500 = 944
    472000 ÷ 590 = 800
    472000 ÷ 800 = 590
    472000 ÷ 944 = 500
    472000 ÷ 1000 = 472
    472000 ÷ 1180 = 400
    472000 ÷ 1475 = 320
    472000 ÷ 1600 = 295
    472000 ÷ 1888 = 250
    472000 ÷ 2000 = 236
    472000 ÷ 2360 = 200
    472000 ÷ 2950 = 160
    472000 ÷ 3776 = 125
    472000 ÷ 4000 = 118
    472000 ÷ 4720 = 100
    472000 ÷ 5900 = 80
    472000 ÷ 7375 = 64
    472000 ÷ 8000 = 59
    472000 ÷ 9440 = 50
    472000 ÷ 11800 = 40
    472000 ÷ 14750 = 32
    472000 ÷ 18880 = 25
    472000 ÷ 23600 = 20
    472000 ÷ 29500 = 16
    472000 ÷ 47200 = 10
    472000 ÷ 59000 = 8
    472000 ÷ 94400 = 5
    472000 ÷ 118000 = 4
    472000 ÷ 236000 = 2
    472000 ÷ 472000 = 1

As you can see, the factors of 472000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 64 , 80 , 100 , 118 , 125 , 160 , 200 , 236 , 250 , 295 , 320 , 400 , 472 , 500 , 590 , 800 , 944 , 1000 , 1180 , 1475 , 1600 , 1888 , 2000 , 2360 , 2950 , 3776 , 4000 , 4720 , 5900 , 7375 , 8000 , 9440 , 11800 , 14750 , 18880 , 23600 , 29500 , 47200 , 59000 , 94400 , 118000 , 236000 and 472000 .

How to Write Numbers in French Similar to 472000?

How many factors of 472000 are there ?

The factors of 472000 are the numbers that can evenly divide 472000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 64 , 80 , 100 , 118 , 125 , 160 , 200 , 236 , 250 , 295 , 320 , 400 , 472 , 500 , 590 , 800 , 944 , 1000 , 1180 , 1475 , 1600 , 1888 , 2000 , 2360 , 2950 , 3776 , 4000 , 4720 , 5900 , 7375 , 8000 , 9440 , 11800 , 14750 , 18880 , 23600 , 29500 , 47200 , 59000 , 94400 , 118000 , 236000 and 472000.

Thus, there are a total of 56 factors of 472000

What are the factor pairs of 472000 ?

Factor Pairs of 472000 are combinations of two factors that when multiplied together equal 472000. There are many ways to calculate the factor pairs of 472000 .

One easy way is to list out the factors of 472000 :
   1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 64 , 80 , 100 , 118 , 125 , 160 , 200 , 236 , 250 , 295 , 320 , 400 , 472 , 500 , 590 , 800 , 944 , 1000 , 1180 , 1475 , 1600 , 1888 , 2000 , 2360 , 2950 , 3776 , 4000 , 4720 , 5900 , 7375 , 8000 , 9440 , 11800 , 14750 , 18880 , 23600 , 29500 , 47200 , 59000 , 94400 , 118000 , 236000 , 472000

Then, pair up the factors:
   (1,472000),(2,236000),(4,118000),(5,94400),(8,59000),(10,47200),(16,29500),(20,23600),(25,18880),(32,14750),(40,11800),(50,9440),(59,8000),(64,7375),(80,5900),(100,4720),(118,4000),(125,3776),(160,2950),(200,2360),(236,2000),(250,1888),(295,1600),(320,1475),(400,1180),(472,1000),(500,944) and (590,800) These are the factor pairs of 472000 .

Prime Factorisation of 472000

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 472000 using a factor tree, we would start by writing 472000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 472000 would be 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 59.

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 472000 using this method, we keep dividing until it gives a non-zero remainder.

    472000 ÷ 2 = 236000
    236000 ÷ 2 = 118000
    118000 ÷ 2 = 59000
    59000 ÷ 2 = 29500
    29500 ÷ 2 = 14750
    14750 ÷ 2 = 7375
    7375 ÷ 5 = 1475
    1475 ÷ 5 = 295
    295 ÷ 5 = 59
    59 ÷ 59 = 1

So the prime factors of 472000 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 59.

Frequently Asked Questions on Factors

What are all the factors of 472000 ?

The factors of 472000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 64 , 80 , 100 , 118 , 125 , 160 , 200 , 236 , 250 , 295 , 320 , 400 , 472 , 500 , 590 , 800 , 944 , 1000 , 1180 , 1475 , 1600 , 1888 , 2000 , 2360 , 2950 , 3776 , 4000 , 4720 , 5900 , 7375 , 8000 , 9440 , 11800 , 14750 , 18880 , 23600 , 29500 , 47200 , 59000 , 94400 , 118000 , 236000 and 472000.

What is the prime factorization of 472000 ?

The prime factorization of 472000 is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 59 or 26 x 53 x 591, where 2 , 5 , 59 are the prime numbers .

What are the prime factors of 472000 ?

The prime factors of 472000 are 2 , 5 , 59 .

Is 472000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
472000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 64 , 80 , 100 , 118 , 125 , 160 , 200 , 236 , 250 , 295 , 320 , 400 , 472 , 500 , 590 , 800 , 944 , 1000 , 1180 , 1475 , 1600 , 1888 , 2000 , 2360 , 2950 , 3776 , 4000 , 4720 , 5900 , 7375 , 8000 , 9440 , 11800 , 14750 , 18880 , 23600 , 29500 , 47200 , 59000 , 94400 , 118000 , 236000 and 472000.

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