# What are all the factors, the prime factorization, and factor pairs of 6900?

To find the factors of 6900, divide 6900 by each number starting with 1 and working up to 6900

## 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 6900 ?

To calculate the factors of 6900 , you can use the division method.

1. Begin by dividing 6900 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 6900.

3. Continue dividing 6900 by larger numbers until you find an odd number that does not divide evenly into 6900 .

4. The numbers that divide evenly into 6900 are the factors of 6900 .

Now let us find how to calculate all the factors of Six thousand nine hundred :

6900 ÷ 1 = 6900
6900 ÷ 2 = 3450
6900 ÷ 3 = 2300
6900 ÷ 4 = 1725
6900 ÷ 5 = 1380
6900 ÷ 6 = 1150
6900 ÷ 10 = 690
6900 ÷ 12 = 575
6900 ÷ 15 = 460
6900 ÷ 20 = 345
6900 ÷ 23 = 300
6900 ÷ 25 = 276
6900 ÷ 30 = 230
6900 ÷ 46 = 150
6900 ÷ 50 = 138
6900 ÷ 60 = 115
6900 ÷ 69 = 100
6900 ÷ 75 = 92
6900 ÷ 92 = 75
6900 ÷ 100 = 69
6900 ÷ 115 = 60
6900 ÷ 138 = 50
6900 ÷ 150 = 46
6900 ÷ 230 = 30
6900 ÷ 276 = 25
6900 ÷ 300 = 23
6900 ÷ 345 = 20
6900 ÷ 460 = 15
6900 ÷ 575 = 12
6900 ÷ 690 = 10
6900 ÷ 1150 = 6
6900 ÷ 1380 = 5
6900 ÷ 1725 = 4
6900 ÷ 2300 = 3
6900 ÷ 3450 = 2
6900 ÷ 6900 = 1

As you can see, the factors of 6900 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 23 , 25 , 30 , 46 , 50 , 60 , 69 , 75 , 92 , 100 , 115 , 138 , 150 , 230 , 276 , 300 , 345 , 460 , 575 , 690 , 1150 , 1380 , 1725 , 2300 , 3450 and 6900 .

## How many factors of 6900 are there ?

The factors of 6900 are the numbers that can evenly divide 6900 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 23 , 25 , 30 , 46 , 50 , 60 , 69 , 75 , 92 , 100 , 115 , 138 , 150 , 230 , 276 , 300 , 345 , 460 , 575 , 690 , 1150 , 1380 , 1725 , 2300 , 3450 and 6900.

Thus, there are a total of 36 factors of 6900

## What are the factor pairs of 6900 ?

Factor Pairs of 6900 are combinations of two factors that when multiplied together equal 6900. There are many ways to calculate the factor pairs of 6900 .

One easy way is to list out the factors of 6900 :
1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 23 , 25 , 30 , 46 , 50 , 60 , 69 , 75 , 92 , 100 , 115 , 138 , 150 , 230 , 276 , 300 , 345 , 460 , 575 , 690 , 1150 , 1380 , 1725 , 2300 , 3450 , 6900

Then, pair up the factors:
(1,6900),(2,3450),(3,2300),(4,1725),(5,1380),(6,1150),(10,690),(12,575),(15,460),(20,345),(23,300),(25,276),(30,230),(46,150),(50,138),(60,115),(69,100) and (75,92) These are the factor pairs of 6900 .

## Prime Factorisation of 6900

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 6900 using a factor tree, we would start by writing 6900 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 6900 would be 2 x 2 x 3 x 5 x 5 x 23.

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 6900 using this method, we keep dividing until it gives a non-zero remainder.

6900 ÷ 2 = 3450
3450 ÷ 2 = 1725
1725 ÷ 3 = 575
575 ÷ 5 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1

So the prime factors of 6900 are 2 x 2 x 3 x 5 x 5 x 23.

## Frequently Asked Questions on Factors

### What are all the factors of 6900 ?

The factors of 6900 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 23 , 25 , 30 , 46 , 50 , 60 , 69 , 75 , 92 , 100 , 115 , 138 , 150 , 230 , 276 , 300 , 345 , 460 , 575 , 690 , 1150 , 1380 , 1725 , 2300 , 3450 and 6900.

### What is the prime factorization of 6900 ?

The prime factorization of 6900 is 2 x 2 x 3 x 5 x 5 x 23 or 22 x 31 x 52 x 231, where 2 , 3 , 5 , 23 are the prime numbers .

### What are the prime factors of 6900 ?

The prime factors of 6900 are 2 , 3 , 5 , 23 .

### Is 6900 a prime number ?

A prime number is a number that has only two factors 1 and itself.
6900 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 23 , 25 , 30 , 46 , 50 , 60 , 69 , 75 , 92 , 100 , 115 , 138 , 150 , 230 , 276 , 300 , 345 , 460 , 575 , 690 , 1150 , 1380 , 1725 , 2300 , 3450 and 6900.