# What are all the factors, the prime factorization, and factor pairs of 83200?

To find the factors of 83200, divide 83200 by each number starting with 1 and working up to 83200

## 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 83200 ?

To calculate the factors of 83200 , you can use the division method.

1. Begin by dividing 83200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 83200.

3. Continue dividing 83200 by larger numbers until you find an odd number that does not divide evenly into 83200 .

4. The numbers that divide evenly into 83200 are the factors of 83200 .

Now let us find how to calculate all the factors of Eighty-three thousand two hundred :

83200 ÷ 1 = 83200
83200 ÷ 2 = 41600
83200 ÷ 4 = 20800
83200 ÷ 5 = 16640
83200 ÷ 8 = 10400
83200 ÷ 10 = 8320
83200 ÷ 13 = 6400
83200 ÷ 16 = 5200
83200 ÷ 20 = 4160
83200 ÷ 25 = 3328
83200 ÷ 26 = 3200
83200 ÷ 32 = 2600
83200 ÷ 40 = 2080
83200 ÷ 50 = 1664
83200 ÷ 52 = 1600
83200 ÷ 64 = 1300
83200 ÷ 65 = 1280
83200 ÷ 80 = 1040
83200 ÷ 100 = 832
83200 ÷ 104 = 800
83200 ÷ 128 = 650
83200 ÷ 130 = 640
83200 ÷ 160 = 520
83200 ÷ 200 = 416
83200 ÷ 208 = 400
83200 ÷ 256 = 325
83200 ÷ 260 = 320
83200 ÷ 320 = 260
83200 ÷ 325 = 256
83200 ÷ 400 = 208
83200 ÷ 416 = 200
83200 ÷ 520 = 160
83200 ÷ 640 = 130
83200 ÷ 650 = 128
83200 ÷ 800 = 104
83200 ÷ 832 = 100
83200 ÷ 1040 = 80
83200 ÷ 1280 = 65
83200 ÷ 1300 = 64
83200 ÷ 1600 = 52
83200 ÷ 1664 = 50
83200 ÷ 2080 = 40
83200 ÷ 2600 = 32
83200 ÷ 3200 = 26
83200 ÷ 3328 = 25
83200 ÷ 4160 = 20
83200 ÷ 5200 = 16
83200 ÷ 6400 = 13
83200 ÷ 8320 = 10
83200 ÷ 10400 = 8
83200 ÷ 16640 = 5
83200 ÷ 20800 = 4
83200 ÷ 41600 = 2
83200 ÷ 83200 = 1

As you can see, the factors of 83200 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 32 , 40 , 50 , 52 , 64 , 65 , 80 , 100 , 104 , 128 , 130 , 160 , 200 , 208 , 256 , 260 , 320 , 325 , 400 , 416 , 520 , 640 , 650 , 800 , 832 , 1040 , 1280 , 1300 , 1600 , 1664 , 2080 , 2600 , 3200 , 3328 , 4160 , 5200 , 6400 , 8320 , 10400 , 16640 , 20800 , 41600 and 83200 .

## How many factors of 83200 are there ?

The factors of 83200 are the numbers that can evenly divide 83200 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 32 , 40 , 50 , 52 , 64 , 65 , 80 , 100 , 104 , 128 , 130 , 160 , 200 , 208 , 256 , 260 , 320 , 325 , 400 , 416 , 520 , 640 , 650 , 800 , 832 , 1040 , 1280 , 1300 , 1600 , 1664 , 2080 , 2600 , 3200 , 3328 , 4160 , 5200 , 6400 , 8320 , 10400 , 16640 , 20800 , 41600 and 83200.

Thus, there are a total of 54 factors of 83200

## What are the factor pairs of 83200 ?

Factor Pairs of 83200 are combinations of two factors that when multiplied together equal 83200. There are many ways to calculate the factor pairs of 83200 .

One easy way is to list out the factors of 83200 :
1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 32 , 40 , 50 , 52 , 64 , 65 , 80 , 100 , 104 , 128 , 130 , 160 , 200 , 208 , 256 , 260 , 320 , 325 , 400 , 416 , 520 , 640 , 650 , 800 , 832 , 1040 , 1280 , 1300 , 1600 , 1664 , 2080 , 2600 , 3200 , 3328 , 4160 , 5200 , 6400 , 8320 , 10400 , 16640 , 20800 , 41600 , 83200

Then, pair up the factors:
(1,83200),(2,41600),(4,20800),(5,16640),(8,10400),(10,8320),(13,6400),(16,5200),(20,4160),(25,3328),(26,3200),(32,2600),(40,2080),(50,1664),(52,1600),(64,1300),(65,1280),(80,1040),(100,832),(104,800),(128,650),(130,640),(160,520),(200,416),(208,400),(256,325) and (260,320) These are the factor pairs of 83200 .

## Prime Factorisation of 83200

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 83200 using a factor tree, we would start by writing 83200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 83200 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13.

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 83200 using this method, we keep dividing until it gives a non-zero remainder.

83200 ÷ 2 = 41600
41600 ÷ 2 = 20800
20800 ÷ 2 = 10400
10400 ÷ 2 = 5200
5200 ÷ 2 = 2600
2600 ÷ 2 = 1300
1300 ÷ 2 = 650
650 ÷ 2 = 325
325 ÷ 5 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1

So the prime factors of 83200 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13.

## Frequently Asked Questions on Factors

### What are all the factors of 83200 ?

The factors of 83200 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 32 , 40 , 50 , 52 , 64 , 65 , 80 , 100 , 104 , 128 , 130 , 160 , 200 , 208 , 256 , 260 , 320 , 325 , 400 , 416 , 520 , 640 , 650 , 800 , 832 , 1040 , 1280 , 1300 , 1600 , 1664 , 2080 , 2600 , 3200 , 3328 , 4160 , 5200 , 6400 , 8320 , 10400 , 16640 , 20800 , 41600 and 83200.

### What is the prime factorization of 83200 ?

The prime factorization of 83200 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13 or 28 x 52 x 131, where 2 , 5 , 13 are the prime numbers .

### What are the prime factors of 83200 ?

The prime factors of 83200 are 2 , 5 , 13 .

### Is 83200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
83200 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 20 , 25 , 26 , 32 , 40 , 50 , 52 , 64 , 65 , 80 , 100 , 104 , 128 , 130 , 160 , 200 , 208 , 256 , 260 , 320 , 325 , 400 , 416 , 520 , 640 , 650 , 800 , 832 , 1040 , 1280 , 1300 , 1600 , 1664 , 2080 , 2600 , 3200 , 3328 , 4160 , 5200 , 6400 , 8320 , 10400 , 16640 , 20800 , 41600 and 83200.