# What are all the factors, the prime factorization, and factor pairs of 37700?

To find the factors of 37700, divide 37700 by each number starting with 1 and working up to 37700

## 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 37700 ?

To calculate the factors of 37700 , you can use the division method.

1. Begin by dividing 37700 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 37700.

3. Continue dividing 37700 by larger numbers until you find an odd number that does not divide evenly into 37700 .

4. The numbers that divide evenly into 37700 are the factors of 37700 .

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

37700 ÷ 1 = 37700
37700 ÷ 2 = 18850
37700 ÷ 4 = 9425
37700 ÷ 5 = 7540
37700 ÷ 10 = 3770
37700 ÷ 13 = 2900
37700 ÷ 20 = 1885
37700 ÷ 25 = 1508
37700 ÷ 26 = 1450
37700 ÷ 29 = 1300
37700 ÷ 50 = 754
37700 ÷ 52 = 725
37700 ÷ 58 = 650
37700 ÷ 65 = 580
37700 ÷ 100 = 377
37700 ÷ 116 = 325
37700 ÷ 130 = 290
37700 ÷ 145 = 260
37700 ÷ 260 = 145
37700 ÷ 290 = 130
37700 ÷ 325 = 116
37700 ÷ 377 = 100
37700 ÷ 580 = 65
37700 ÷ 650 = 58
37700 ÷ 725 = 52
37700 ÷ 754 = 50
37700 ÷ 1300 = 29
37700 ÷ 1450 = 26
37700 ÷ 1508 = 25
37700 ÷ 1885 = 20
37700 ÷ 2900 = 13
37700 ÷ 3770 = 10
37700 ÷ 7540 = 5
37700 ÷ 9425 = 4
37700 ÷ 18850 = 2
37700 ÷ 37700 = 1

As you can see, the factors of 37700 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 29 , 50 , 52 , 58 , 65 , 100 , 116 , 130 , 145 , 260 , 290 , 325 , 377 , 580 , 650 , 725 , 754 , 1300 , 1450 , 1508 , 1885 , 2900 , 3770 , 7540 , 9425 , 18850 and 37700 .

## How many factors of 37700 are there ?

The factors of 37700 are the numbers that can evenly divide 37700 . These numbers are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 29 , 50 , 52 , 58 , 65 , 100 , 116 , 130 , 145 , 260 , 290 , 325 , 377 , 580 , 650 , 725 , 754 , 1300 , 1450 , 1508 , 1885 , 2900 , 3770 , 7540 , 9425 , 18850 and 37700.

Thus, there are a total of 36 factors of 37700

## What are the factor pairs of 37700 ?

Factor Pairs of 37700 are combinations of two factors that when multiplied together equal 37700. There are many ways to calculate the factor pairs of 37700 .

One easy way is to list out the factors of 37700 :
1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 29 , 50 , 52 , 58 , 65 , 100 , 116 , 130 , 145 , 260 , 290 , 325 , 377 , 580 , 650 , 725 , 754 , 1300 , 1450 , 1508 , 1885 , 2900 , 3770 , 7540 , 9425 , 18850 , 37700

Then, pair up the factors:
(1,37700),(2,18850),(4,9425),(5,7540),(10,3770),(13,2900),(20,1885),(25,1508),(26,1450),(29,1300),(50,754),(52,725),(58,650),(65,580),(100,377),(116,325),(130,290) and (145,260) These are the factor pairs of 37700 .

## Prime Factorisation of 37700

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 37700 using a factor tree, we would start by writing 37700 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 37700 would be 2 x 2 x 5 x 5 x 13 x 29.

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 37700 using this method, we keep dividing until it gives a non-zero remainder.

37700 ÷ 2 = 18850
18850 ÷ 2 = 9425
9425 ÷ 5 = 1885
1885 ÷ 5 = 377
377 ÷ 13 = 29
29 ÷ 29 = 1

So the prime factors of 37700 are 2 x 2 x 5 x 5 x 13 x 29.

## Frequently Asked Questions on Factors

### What are all the factors of 37700 ?

The factors of 37700 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 29 , 50 , 52 , 58 , 65 , 100 , 116 , 130 , 145 , 260 , 290 , 325 , 377 , 580 , 650 , 725 , 754 , 1300 , 1450 , 1508 , 1885 , 2900 , 3770 , 7540 , 9425 , 18850 and 37700.

### What is the prime factorization of 37700 ?

The prime factorization of 37700 is 2 x 2 x 5 x 5 x 13 x 29 or 22 x 52 x 131 x 291, where 2 , 5 , 13 , 29 are the prime numbers .

### What are the prime factors of 37700 ?

The prime factors of 37700 are 2 , 5 , 13 , 29 .

### Is 37700 a prime number ?

A prime number is a number that has only two factors 1 and itself.
37700 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 29 , 50 , 52 , 58 , 65 , 100 , 116 , 130 , 145 , 260 , 290 , 325 , 377 , 580 , 650 , 725 , 754 , 1300 , 1450 , 1508 , 1885 , 2900 , 3770 , 7540 , 9425 , 18850 and 37700.