# What are all the factors, the prime factorization, and factor pairs of 9200?

To find the factors of 9200, divide 9200 by each number starting with 1 and working up to 9200

## 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 9200 ?

To calculate the factors of 9200 , you can use the division method.

1. Begin by dividing 9200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 9200.

3. Continue dividing 9200 by larger numbers until you find an odd number that does not divide evenly into 9200 .

4. The numbers that divide evenly into 9200 are the factors of 9200 .

Now let us find how to calculate all the factors of Nine thousand two hundred :

9200 ÷ 1 = 9200
9200 ÷ 2 = 4600
9200 ÷ 4 = 2300
9200 ÷ 5 = 1840
9200 ÷ 8 = 1150
9200 ÷ 10 = 920
9200 ÷ 16 = 575
9200 ÷ 20 = 460
9200 ÷ 23 = 400
9200 ÷ 25 = 368
9200 ÷ 40 = 230
9200 ÷ 46 = 200
9200 ÷ 50 = 184
9200 ÷ 80 = 115
9200 ÷ 92 = 100
9200 ÷ 100 = 92
9200 ÷ 115 = 80
9200 ÷ 184 = 50
9200 ÷ 200 = 46
9200 ÷ 230 = 40
9200 ÷ 368 = 25
9200 ÷ 400 = 23
9200 ÷ 460 = 20
9200 ÷ 575 = 16
9200 ÷ 920 = 10
9200 ÷ 1150 = 8
9200 ÷ 1840 = 5
9200 ÷ 2300 = 4
9200 ÷ 4600 = 2
9200 ÷ 9200 = 1

As you can see, the factors of 9200 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 40 , 46 , 50 , 80 , 92 , 100 , 115 , 184 , 200 , 230 , 368 , 400 , 460 , 575 , 920 , 1150 , 1840 , 2300 , 4600 and 9200 .

## How many factors of 9200 are there ?

The factors of 9200 are the numbers that can evenly divide 9200 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 40 , 46 , 50 , 80 , 92 , 100 , 115 , 184 , 200 , 230 , 368 , 400 , 460 , 575 , 920 , 1150 , 1840 , 2300 , 4600 and 9200.

Thus, there are a total of 30 factors of 9200

## What are the factor pairs of 9200 ?

Factor Pairs of 9200 are combinations of two factors that when multiplied together equal 9200. There are many ways to calculate the factor pairs of 9200 .

One easy way is to list out the factors of 9200 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 40 , 46 , 50 , 80 , 92 , 100 , 115 , 184 , 200 , 230 , 368 , 400 , 460 , 575 , 920 , 1150 , 1840 , 2300 , 4600 , 9200

Then, pair up the factors:
(1,9200),(2,4600),(4,2300),(5,1840),(8,1150),(10,920),(16,575),(20,460),(23,400),(25,368),(40,230),(46,200),(50,184),(80,115) and (92,100) These are the factor pairs of 9200 .

## Prime Factorisation of 9200

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 9200 using a factor tree, we would start by writing 9200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 9200 would be 2 x 2 x 2 x 2 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 9200 using this method, we keep dividing until it gives a non-zero remainder.

9200 ÷ 2 = 4600
4600 ÷ 2 = 2300
2300 ÷ 2 = 1150
1150 ÷ 2 = 575
575 ÷ 5 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1

So the prime factors of 9200 are 2 x 2 x 2 x 2 x 5 x 5 x 23.

## Frequently Asked Questions on Factors

### What are all the factors of 9200 ?

The factors of 9200 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 40 , 46 , 50 , 80 , 92 , 100 , 115 , 184 , 200 , 230 , 368 , 400 , 460 , 575 , 920 , 1150 , 1840 , 2300 , 4600 and 9200.

### What is the prime factorization of 9200 ?

The prime factorization of 9200 is 2 x 2 x 2 x 2 x 5 x 5 x 23 or 24 x 52 x 231, where 2 , 5 , 23 are the prime numbers .

### What are the prime factors of 9200 ?

The prime factors of 9200 are 2 , 5 , 23 .

### Is 9200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
9200 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 40 , 46 , 50 , 80 , 92 , 100 , 115 , 184 , 200 , 230 , 368 , 400 , 460 , 575 , 920 , 1150 , 1840 , 2300 , 4600 and 9200.