# What are all the factors, the prime factorization, and factor pairs of 8700?

To find the factors of 8700, divide 8700 by each number starting with 1 and working up to 8700

## 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 8700 ?

To calculate the factors of 8700 , you can use the division method.

1. Begin by dividing 8700 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 8700.

3. Continue dividing 8700 by larger numbers until you find an odd number that does not divide evenly into 8700 .

4. The numbers that divide evenly into 8700 are the factors of 8700 .

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

8700 ÷ 1 = 8700
8700 ÷ 2 = 4350
8700 ÷ 3 = 2900
8700 ÷ 4 = 2175
8700 ÷ 5 = 1740
8700 ÷ 6 = 1450
8700 ÷ 10 = 870
8700 ÷ 12 = 725
8700 ÷ 15 = 580
8700 ÷ 20 = 435
8700 ÷ 25 = 348
8700 ÷ 29 = 300
8700 ÷ 30 = 290
8700 ÷ 50 = 174
8700 ÷ 58 = 150
8700 ÷ 60 = 145
8700 ÷ 75 = 116
8700 ÷ 87 = 100
8700 ÷ 100 = 87
8700 ÷ 116 = 75
8700 ÷ 145 = 60
8700 ÷ 150 = 58
8700 ÷ 174 = 50
8700 ÷ 290 = 30
8700 ÷ 300 = 29
8700 ÷ 348 = 25
8700 ÷ 435 = 20
8700 ÷ 580 = 15
8700 ÷ 725 = 12
8700 ÷ 870 = 10
8700 ÷ 1450 = 6
8700 ÷ 1740 = 5
8700 ÷ 2175 = 4
8700 ÷ 2900 = 3
8700 ÷ 4350 = 2
8700 ÷ 8700 = 1

As you can see, the factors of 8700 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 29 , 30 , 50 , 58 , 60 , 75 , 87 , 100 , 116 , 145 , 150 , 174 , 290 , 300 , 348 , 435 , 580 , 725 , 870 , 1450 , 1740 , 2175 , 2900 , 4350 and 8700 .

## How many factors of 8700 are there ?

The factors of 8700 are the numbers that can evenly divide 8700 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 29 , 30 , 50 , 58 , 60 , 75 , 87 , 100 , 116 , 145 , 150 , 174 , 290 , 300 , 348 , 435 , 580 , 725 , 870 , 1450 , 1740 , 2175 , 2900 , 4350 and 8700.

Thus, there are a total of 36 factors of 8700

## What are the factor pairs of 8700 ?

Factor Pairs of 8700 are combinations of two factors that when multiplied together equal 8700. There are many ways to calculate the factor pairs of 8700 .

One easy way is to list out the factors of 8700 :
1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 29 , 30 , 50 , 58 , 60 , 75 , 87 , 100 , 116 , 145 , 150 , 174 , 290 , 300 , 348 , 435 , 580 , 725 , 870 , 1450 , 1740 , 2175 , 2900 , 4350 , 8700

Then, pair up the factors:
(1,8700),(2,4350),(3,2900),(4,2175),(5,1740),(6,1450),(10,870),(12,725),(15,580),(20,435),(25,348),(29,300),(30,290),(50,174),(58,150),(60,145),(75,116) and (87,100) These are the factor pairs of 8700 .

## Prime Factorisation of 8700

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 8700 using a factor tree, we would start by writing 8700 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 8700 would be 2 x 2 x 3 x 5 x 5 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 8700 using this method, we keep dividing until it gives a non-zero remainder.

8700 ÷ 2 = 4350
4350 ÷ 2 = 2175
2175 ÷ 3 = 725
725 ÷ 5 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1

So the prime factors of 8700 are 2 x 2 x 3 x 5 x 5 x 29.

## Frequently Asked Questions on Factors

### What are all the factors of 8700 ?

The factors of 8700 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 29 , 30 , 50 , 58 , 60 , 75 , 87 , 100 , 116 , 145 , 150 , 174 , 290 , 300 , 348 , 435 , 580 , 725 , 870 , 1450 , 1740 , 2175 , 2900 , 4350 and 8700.

### What is the prime factorization of 8700 ?

The prime factorization of 8700 is 2 x 2 x 3 x 5 x 5 x 29 or 22 x 31 x 52 x 291, where 2 , 3 , 5 , 29 are the prime numbers .

### What are the prime factors of 8700 ?

The prime factors of 8700 are 2 , 3 , 5 , 29 .

### Is 8700 a prime number ?

A prime number is a number that has only two factors 1 and itself.
8700 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 29 , 30 , 50 , 58 , 60 , 75 , 87 , 100 , 116 , 145 , 150 , 174 , 290 , 300 , 348 , 435 , 580 , 725 , 870 , 1450 , 1740 , 2175 , 2900 , 4350 and 8700.