# What are all the factors, the prime factorization, and factor pairs of 38700?

To find the factors of 38700, divide 38700 by each number starting with 1 and working up to 38700

## 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 38700 ?

To calculate the factors of 38700 , you can use the division method.

1. Begin by dividing 38700 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 38700.

3. Continue dividing 38700 by larger numbers until you find an odd number that does not divide evenly into 38700 .

4. The numbers that divide evenly into 38700 are the factors of 38700 .

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

38700 ÷ 1 = 38700
38700 ÷ 2 = 19350
38700 ÷ 3 = 12900
38700 ÷ 4 = 9675
38700 ÷ 5 = 7740
38700 ÷ 6 = 6450
38700 ÷ 9 = 4300
38700 ÷ 10 = 3870
38700 ÷ 12 = 3225
38700 ÷ 15 = 2580
38700 ÷ 18 = 2150
38700 ÷ 20 = 1935
38700 ÷ 25 = 1548
38700 ÷ 30 = 1290
38700 ÷ 36 = 1075
38700 ÷ 43 = 900
38700 ÷ 45 = 860
38700 ÷ 50 = 774
38700 ÷ 60 = 645
38700 ÷ 75 = 516
38700 ÷ 86 = 450
38700 ÷ 90 = 430
38700 ÷ 100 = 387
38700 ÷ 129 = 300
38700 ÷ 150 = 258
38700 ÷ 172 = 225
38700 ÷ 180 = 215
38700 ÷ 215 = 180
38700 ÷ 225 = 172
38700 ÷ 258 = 150
38700 ÷ 300 = 129
38700 ÷ 387 = 100
38700 ÷ 430 = 90
38700 ÷ 450 = 86
38700 ÷ 516 = 75
38700 ÷ 645 = 60
38700 ÷ 774 = 50
38700 ÷ 860 = 45
38700 ÷ 900 = 43
38700 ÷ 1075 = 36
38700 ÷ 1290 = 30
38700 ÷ 1548 = 25
38700 ÷ 1935 = 20
38700 ÷ 2150 = 18
38700 ÷ 2580 = 15
38700 ÷ 3225 = 12
38700 ÷ 3870 = 10
38700 ÷ 4300 = 9
38700 ÷ 6450 = 6
38700 ÷ 7740 = 5
38700 ÷ 9675 = 4
38700 ÷ 12900 = 3
38700 ÷ 19350 = 2
38700 ÷ 38700 = 1

As you can see, the factors of 38700 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 43 , 45 , 50 , 60 , 75 , 86 , 90 , 100 , 129 , 150 , 172 , 180 , 215 , 225 , 258 , 300 , 387 , 430 , 450 , 516 , 645 , 774 , 860 , 900 , 1075 , 1290 , 1548 , 1935 , 2150 , 2580 , 3225 , 3870 , 4300 , 6450 , 7740 , 9675 , 12900 , 19350 and 38700 .

## How many factors of 38700 are there ?

The factors of 38700 are the numbers that can evenly divide 38700 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 43 , 45 , 50 , 60 , 75 , 86 , 90 , 100 , 129 , 150 , 172 , 180 , 215 , 225 , 258 , 300 , 387 , 430 , 450 , 516 , 645 , 774 , 860 , 900 , 1075 , 1290 , 1548 , 1935 , 2150 , 2580 , 3225 , 3870 , 4300 , 6450 , 7740 , 9675 , 12900 , 19350 and 38700.

Thus, there are a total of 54 factors of 38700

## What are the factor pairs of 38700 ?

Factor Pairs of 38700 are combinations of two factors that when multiplied together equal 38700. There are many ways to calculate the factor pairs of 38700 .

One easy way is to list out the factors of 38700 :
1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 43 , 45 , 50 , 60 , 75 , 86 , 90 , 100 , 129 , 150 , 172 , 180 , 215 , 225 , 258 , 300 , 387 , 430 , 450 , 516 , 645 , 774 , 860 , 900 , 1075 , 1290 , 1548 , 1935 , 2150 , 2580 , 3225 , 3870 , 4300 , 6450 , 7740 , 9675 , 12900 , 19350 , 38700

Then, pair up the factors:
(1,38700),(2,19350),(3,12900),(4,9675),(5,7740),(6,6450),(9,4300),(10,3870),(12,3225),(15,2580),(18,2150),(20,1935),(25,1548),(30,1290),(36,1075),(43,900),(45,860),(50,774),(60,645),(75,516),(86,450),(90,430),(100,387),(129,300),(150,258),(172,225) and (180,215) These are the factor pairs of 38700 .

## Prime Factorisation of 38700

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 38700 using a factor tree, we would start by writing 38700 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 38700 would be 2 x 2 x 3 x 3 x 5 x 5 x 43.

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 38700 using this method, we keep dividing until it gives a non-zero remainder.

38700 ÷ 2 = 19350
19350 ÷ 2 = 9675
9675 ÷ 3 = 3225
3225 ÷ 3 = 1075
1075 ÷ 5 = 215
215 ÷ 5 = 43
43 ÷ 43 = 1

So the prime factors of 38700 are 2 x 2 x 3 x 3 x 5 x 5 x 43.

## Frequently Asked Questions on Factors

### What are all the factors of 38700 ?

The factors of 38700 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 43 , 45 , 50 , 60 , 75 , 86 , 90 , 100 , 129 , 150 , 172 , 180 , 215 , 225 , 258 , 300 , 387 , 430 , 450 , 516 , 645 , 774 , 860 , 900 , 1075 , 1290 , 1548 , 1935 , 2150 , 2580 , 3225 , 3870 , 4300 , 6450 , 7740 , 9675 , 12900 , 19350 and 38700.

### What is the prime factorization of 38700 ?

The prime factorization of 38700 is 2 x 2 x 3 x 3 x 5 x 5 x 43 or 22 x 32 x 52 x 431, where 2 , 3 , 5 , 43 are the prime numbers .

### What are the prime factors of 38700 ?

The prime factors of 38700 are 2 , 3 , 5 , 43 .

### Is 38700 a prime number ?

A prime number is a number that has only two factors 1 and itself.
38700 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 43 , 45 , 50 , 60 , 75 , 86 , 90 , 100 , 129 , 150 , 172 , 180 , 215 , 225 , 258 , 300 , 387 , 430 , 450 , 516 , 645 , 774 , 860 , 900 , 1075 , 1290 , 1548 , 1935 , 2150 , 2580 , 3225 , 3870 , 4300 , 6450 , 7740 , 9675 , 12900 , 19350 and 38700.