What are all the factors, the prime factorization, and factor pairs of 47200?

To find the factors of 47200, divide 47200 by each number starting with 1 and working up to 47200

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 47200 ?

To calculate the factors of 47200 , you can use the division method.

   1. Begin by dividing 47200 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 47200.

   3. Continue dividing 47200 by larger numbers until you find an odd number that does not divide evenly into 47200 .

   4. The numbers that divide evenly into 47200 are the factors of 47200 .

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

    47200 ÷ 1 = 47200
    47200 ÷ 2 = 23600
    47200 ÷ 4 = 11800
    47200 ÷ 5 = 9440
    47200 ÷ 8 = 5900
    47200 ÷ 10 = 4720
    47200 ÷ 16 = 2950
    47200 ÷ 20 = 2360
    47200 ÷ 25 = 1888
    47200 ÷ 32 = 1475
    47200 ÷ 40 = 1180
    47200 ÷ 50 = 944
    47200 ÷ 59 = 800
    47200 ÷ 80 = 590
    47200 ÷ 100 = 472
    47200 ÷ 118 = 400
    47200 ÷ 160 = 295
    47200 ÷ 200 = 236
    47200 ÷ 236 = 200
    47200 ÷ 295 = 160
    47200 ÷ 400 = 118
    47200 ÷ 472 = 100
    47200 ÷ 590 = 80
    47200 ÷ 800 = 59
    47200 ÷ 944 = 50
    47200 ÷ 1180 = 40
    47200 ÷ 1475 = 32
    47200 ÷ 1888 = 25
    47200 ÷ 2360 = 20
    47200 ÷ 2950 = 16
    47200 ÷ 4720 = 10
    47200 ÷ 5900 = 8
    47200 ÷ 9440 = 5
    47200 ÷ 11800 = 4
    47200 ÷ 23600 = 2
    47200 ÷ 47200 = 1

As you can see, the factors of 47200 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 80 , 100 , 118 , 160 , 200 , 236 , 295 , 400 , 472 , 590 , 800 , 944 , 1180 , 1475 , 1888 , 2360 , 2950 , 4720 , 5900 , 9440 , 11800 , 23600 and 47200 .

How to Write Numbers in French Similar to 47200?

How many factors of 47200 are there ?

The factors of 47200 are the numbers that can evenly divide 47200 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 80 , 100 , 118 , 160 , 200 , 236 , 295 , 400 , 472 , 590 , 800 , 944 , 1180 , 1475 , 1888 , 2360 , 2950 , 4720 , 5900 , 9440 , 11800 , 23600 and 47200.

Thus, there are a total of 36 factors of 47200

What are the factor pairs of 47200 ?

Factor Pairs of 47200 are combinations of two factors that when multiplied together equal 47200. There are many ways to calculate the factor pairs of 47200 .

One easy way is to list out the factors of 47200 :
   1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 80 , 100 , 118 , 160 , 200 , 236 , 295 , 400 , 472 , 590 , 800 , 944 , 1180 , 1475 , 1888 , 2360 , 2950 , 4720 , 5900 , 9440 , 11800 , 23600 , 47200

Then, pair up the factors:
   (1,47200),(2,23600),(4,11800),(5,9440),(8,5900),(10,4720),(16,2950),(20,2360),(25,1888),(32,1475),(40,1180),(50,944),(59,800),(80,590),(100,472),(118,400),(160,295) and (200,236) These are the factor pairs of 47200 .

Prime Factorisation of 47200

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 47200 using a factor tree, we would start by writing 47200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 47200 would be 2 x 2 x 2 x 2 x 2 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 47200 using this method, we keep dividing until it gives a non-zero remainder.

    47200 ÷ 2 = 23600
    23600 ÷ 2 = 11800
    11800 ÷ 2 = 5900
    5900 ÷ 2 = 2950
    2950 ÷ 2 = 1475
    1475 ÷ 5 = 295
    295 ÷ 5 = 59
    59 ÷ 59 = 1

So the prime factors of 47200 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 59.

Frequently Asked Questions on Factors

What are all the factors of 47200 ?

The factors of 47200 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 80 , 100 , 118 , 160 , 200 , 236 , 295 , 400 , 472 , 590 , 800 , 944 , 1180 , 1475 , 1888 , 2360 , 2950 , 4720 , 5900 , 9440 , 11800 , 23600 and 47200.

What is the prime factorization of 47200 ?

The prime factorization of 47200 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 59 or 25 x 52 x 591, where 2 , 5 , 59 are the prime numbers .

What are the prime factors of 47200 ?

The prime factors of 47200 are 2 , 5 , 59 .

Is 47200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
47200 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 59 , 80 , 100 , 118 , 160 , 200 , 236 , 295 , 400 , 472 , 590 , 800 , 944 , 1180 , 1475 , 1888 , 2360 , 2950 , 4720 , 5900 , 9440 , 11800 , 23600 and 47200.

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