# What are all the factors, the prime factorization, and factor pairs of 37600?

To find the factors of 37600, divide 37600 by each number starting with 1 and working up to 37600

## 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 37600 ?

To calculate the factors of 37600 , you can use the division method.

1. Begin by dividing 37600 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 37600.

3. Continue dividing 37600 by larger numbers until you find an odd number that does not divide evenly into 37600 .

4. The numbers that divide evenly into 37600 are the factors of 37600 .

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

37600 ÷ 1 = 37600
37600 ÷ 2 = 18800
37600 ÷ 4 = 9400
37600 ÷ 5 = 7520
37600 ÷ 8 = 4700
37600 ÷ 10 = 3760
37600 ÷ 16 = 2350
37600 ÷ 20 = 1880
37600 ÷ 25 = 1504
37600 ÷ 32 = 1175
37600 ÷ 40 = 940
37600 ÷ 47 = 800
37600 ÷ 50 = 752
37600 ÷ 80 = 470
37600 ÷ 94 = 400
37600 ÷ 100 = 376
37600 ÷ 160 = 235
37600 ÷ 188 = 200
37600 ÷ 200 = 188
37600 ÷ 235 = 160
37600 ÷ 376 = 100
37600 ÷ 400 = 94
37600 ÷ 470 = 80
37600 ÷ 752 = 50
37600 ÷ 800 = 47
37600 ÷ 940 = 40
37600 ÷ 1175 = 32
37600 ÷ 1504 = 25
37600 ÷ 1880 = 20
37600 ÷ 2350 = 16
37600 ÷ 3760 = 10
37600 ÷ 4700 = 8
37600 ÷ 7520 = 5
37600 ÷ 9400 = 4
37600 ÷ 18800 = 2
37600 ÷ 37600 = 1

As you can see, the factors of 37600 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 47 , 50 , 80 , 94 , 100 , 160 , 188 , 200 , 235 , 376 , 400 , 470 , 752 , 800 , 940 , 1175 , 1504 , 1880 , 2350 , 3760 , 4700 , 7520 , 9400 , 18800 and 37600 .

## How many factors of 37600 are there ?

The factors of 37600 are the numbers that can evenly divide 37600 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 47 , 50 , 80 , 94 , 100 , 160 , 188 , 200 , 235 , 376 , 400 , 470 , 752 , 800 , 940 , 1175 , 1504 , 1880 , 2350 , 3760 , 4700 , 7520 , 9400 , 18800 and 37600.

Thus, there are a total of 36 factors of 37600

## What are the factor pairs of 37600 ?

Factor Pairs of 37600 are combinations of two factors that when multiplied together equal 37600. There are many ways to calculate the factor pairs of 37600 .

One easy way is to list out the factors of 37600 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 47 , 50 , 80 , 94 , 100 , 160 , 188 , 200 , 235 , 376 , 400 , 470 , 752 , 800 , 940 , 1175 , 1504 , 1880 , 2350 , 3760 , 4700 , 7520 , 9400 , 18800 , 37600

Then, pair up the factors:
(1,37600),(2,18800),(4,9400),(5,7520),(8,4700),(10,3760),(16,2350),(20,1880),(25,1504),(32,1175),(40,940),(47,800),(50,752),(80,470),(94,400),(100,376),(160,235) and (188,200) These are the factor pairs of 37600 .

## Prime Factorisation of 37600

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 37600 using a factor tree, we would start by writing 37600 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 37600 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 47.

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 37600 using this method, we keep dividing until it gives a non-zero remainder.

37600 ÷ 2 = 18800
18800 ÷ 2 = 9400
9400 ÷ 2 = 4700
4700 ÷ 2 = 2350
2350 ÷ 2 = 1175
1175 ÷ 5 = 235
235 ÷ 5 = 47
47 ÷ 47 = 1

So the prime factors of 37600 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 47.

## Frequently Asked Questions on Factors

### What are all the factors of 37600 ?

The factors of 37600 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 47 , 50 , 80 , 94 , 100 , 160 , 188 , 200 , 235 , 376 , 400 , 470 , 752 , 800 , 940 , 1175 , 1504 , 1880 , 2350 , 3760 , 4700 , 7520 , 9400 , 18800 and 37600.

### What is the prime factorization of 37600 ?

The prime factorization of 37600 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 47 or 25 x 52 x 471, where 2 , 5 , 47 are the prime numbers .

### What are the prime factors of 37600 ?

The prime factors of 37600 are 2 , 5 , 47 .

### Is 37600 a prime number ?

A prime number is a number that has only two factors 1 and itself.
37600 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 47 , 50 , 80 , 94 , 100 , 160 , 188 , 200 , 235 , 376 , 400 , 470 , 752 , 800 , 940 , 1175 , 1504 , 1880 , 2350 , 3760 , 4700 , 7520 , 9400 , 18800 and 37600.