# What are all the factors, the prime factorization, and factor pairs of 37000?

To find the factors of 37000, divide 37000 by each number starting with 1 and working up to 37000

## 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 37000 ?

To calculate the factors of 37000 , you can use the division method.

1. Begin by dividing 37000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 37000.

3. Continue dividing 37000 by larger numbers until you find an odd number that does not divide evenly into 37000 .

4. The numbers that divide evenly into 37000 are the factors of 37000 .

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

37000 ÷ 1 = 37000
37000 ÷ 2 = 18500
37000 ÷ 4 = 9250
37000 ÷ 5 = 7400
37000 ÷ 8 = 4625
37000 ÷ 10 = 3700
37000 ÷ 20 = 1850
37000 ÷ 25 = 1480
37000 ÷ 37 = 1000
37000 ÷ 40 = 925
37000 ÷ 50 = 740
37000 ÷ 74 = 500
37000 ÷ 100 = 370
37000 ÷ 125 = 296
37000 ÷ 148 = 250
37000 ÷ 185 = 200
37000 ÷ 200 = 185
37000 ÷ 250 = 148
37000 ÷ 296 = 125
37000 ÷ 370 = 100
37000 ÷ 500 = 74
37000 ÷ 740 = 50
37000 ÷ 925 = 40
37000 ÷ 1000 = 37
37000 ÷ 1480 = 25
37000 ÷ 1850 = 20
37000 ÷ 3700 = 10
37000 ÷ 4625 = 8
37000 ÷ 7400 = 5
37000 ÷ 9250 = 4
37000 ÷ 18500 = 2
37000 ÷ 37000 = 1

As you can see, the factors of 37000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 37 , 40 , 50 , 74 , 100 , 125 , 148 , 185 , 200 , 250 , 296 , 370 , 500 , 740 , 925 , 1000 , 1480 , 1850 , 3700 , 4625 , 7400 , 9250 , 18500 and 37000 .

## How many factors of 37000 are there ?

The factors of 37000 are the numbers that can evenly divide 37000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 37 , 40 , 50 , 74 , 100 , 125 , 148 , 185 , 200 , 250 , 296 , 370 , 500 , 740 , 925 , 1000 , 1480 , 1850 , 3700 , 4625 , 7400 , 9250 , 18500 and 37000.

Thus, there are a total of 32 factors of 37000

## What are the factor pairs of 37000 ?

Factor Pairs of 37000 are combinations of two factors that when multiplied together equal 37000. There are many ways to calculate the factor pairs of 37000 .

One easy way is to list out the factors of 37000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 37 , 40 , 50 , 74 , 100 , 125 , 148 , 185 , 200 , 250 , 296 , 370 , 500 , 740 , 925 , 1000 , 1480 , 1850 , 3700 , 4625 , 7400 , 9250 , 18500 , 37000

Then, pair up the factors:
(1,37000),(2,18500),(4,9250),(5,7400),(8,4625),(10,3700),(20,1850),(25,1480),(37,1000),(40,925),(50,740),(74,500),(100,370),(125,296),(148,250) and (185,200) These are the factor pairs of 37000 .

## Prime Factorisation of 37000

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 37000 using a factor tree, we would start by writing 37000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 37000 would be 2 x 2 x 2 x 5 x 5 x 5 x 37.

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 37000 using this method, we keep dividing until it gives a non-zero remainder.

37000 ÷ 2 = 18500
18500 ÷ 2 = 9250
9250 ÷ 2 = 4625
4625 ÷ 5 = 925
925 ÷ 5 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1

So the prime factors of 37000 are 2 x 2 x 2 x 5 x 5 x 5 x 37.

## Frequently Asked Questions on Factors

### What are all the factors of 37000 ?

The factors of 37000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 37 , 40 , 50 , 74 , 100 , 125 , 148 , 185 , 200 , 250 , 296 , 370 , 500 , 740 , 925 , 1000 , 1480 , 1850 , 3700 , 4625 , 7400 , 9250 , 18500 and 37000.

### What is the prime factorization of 37000 ?

The prime factorization of 37000 is 2 x 2 x 2 x 5 x 5 x 5 x 37 or 23 x 53 x 371, where 2 , 5 , 37 are the prime numbers .

### What are the prime factors of 37000 ?

The prime factors of 37000 are 2 , 5 , 37 .

### Is 37000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
37000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 37 , 40 , 50 , 74 , 100 , 125 , 148 , 185 , 200 , 250 , 296 , 370 , 500 , 740 , 925 , 1000 , 1480 , 1850 , 3700 , 4625 , 7400 , 9250 , 18500 and 37000.