# What are all the factors, the prime factorization, and factor pairs of 85200?

To find the factors of 85200, divide 85200 by each number starting with 1 and working up to 85200

## 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 85200 ?

To calculate the factors of 85200 , you can use the division method.

1. Begin by dividing 85200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 85200.

3. Continue dividing 85200 by larger numbers until you find an odd number that does not divide evenly into 85200 .

4. The numbers that divide evenly into 85200 are the factors of 85200 .

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

85200 ÷ 1 = 85200
85200 ÷ 2 = 42600
85200 ÷ 3 = 28400
85200 ÷ 4 = 21300
85200 ÷ 5 = 17040
85200 ÷ 6 = 14200
85200 ÷ 8 = 10650
85200 ÷ 10 = 8520
85200 ÷ 12 = 7100
85200 ÷ 15 = 5680
85200 ÷ 16 = 5325
85200 ÷ 20 = 4260
85200 ÷ 24 = 3550
85200 ÷ 25 = 3408
85200 ÷ 30 = 2840
85200 ÷ 40 = 2130
85200 ÷ 48 = 1775
85200 ÷ 50 = 1704
85200 ÷ 60 = 1420
85200 ÷ 71 = 1200
85200 ÷ 75 = 1136
85200 ÷ 80 = 1065
85200 ÷ 100 = 852
85200 ÷ 120 = 710
85200 ÷ 142 = 600
85200 ÷ 150 = 568
85200 ÷ 200 = 426
85200 ÷ 213 = 400
85200 ÷ 240 = 355
85200 ÷ 284 = 300
85200 ÷ 300 = 284
85200 ÷ 355 = 240
85200 ÷ 400 = 213
85200 ÷ 426 = 200
85200 ÷ 568 = 150
85200 ÷ 600 = 142
85200 ÷ 710 = 120
85200 ÷ 852 = 100
85200 ÷ 1065 = 80
85200 ÷ 1136 = 75
85200 ÷ 1200 = 71
85200 ÷ 1420 = 60
85200 ÷ 1704 = 50
85200 ÷ 1775 = 48
85200 ÷ 2130 = 40
85200 ÷ 2840 = 30
85200 ÷ 3408 = 25
85200 ÷ 3550 = 24
85200 ÷ 4260 = 20
85200 ÷ 5325 = 16
85200 ÷ 5680 = 15
85200 ÷ 7100 = 12
85200 ÷ 8520 = 10
85200 ÷ 10650 = 8
85200 ÷ 14200 = 6
85200 ÷ 17040 = 5
85200 ÷ 21300 = 4
85200 ÷ 28400 = 3
85200 ÷ 42600 = 2
85200 ÷ 85200 = 1

As you can see, the factors of 85200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 71 , 75 , 80 , 100 , 120 , 142 , 150 , 200 , 213 , 240 , 284 , 300 , 355 , 400 , 426 , 568 , 600 , 710 , 852 , 1065 , 1136 , 1200 , 1420 , 1704 , 1775 , 2130 , 2840 , 3408 , 3550 , 4260 , 5325 , 5680 , 7100 , 8520 , 10650 , 14200 , 17040 , 21300 , 28400 , 42600 and 85200 .

## How many factors of 85200 are there ?

The factors of 85200 are the numbers that can evenly divide 85200 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 71 , 75 , 80 , 100 , 120 , 142 , 150 , 200 , 213 , 240 , 284 , 300 , 355 , 400 , 426 , 568 , 600 , 710 , 852 , 1065 , 1136 , 1200 , 1420 , 1704 , 1775 , 2130 , 2840 , 3408 , 3550 , 4260 , 5325 , 5680 , 7100 , 8520 , 10650 , 14200 , 17040 , 21300 , 28400 , 42600 and 85200.

Thus, there are a total of 60 factors of 85200

## What are the factor pairs of 85200 ?

Factor Pairs of 85200 are combinations of two factors that when multiplied together equal 85200. There are many ways to calculate the factor pairs of 85200 .

One easy way is to list out the factors of 85200 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 71 , 75 , 80 , 100 , 120 , 142 , 150 , 200 , 213 , 240 , 284 , 300 , 355 , 400 , 426 , 568 , 600 , 710 , 852 , 1065 , 1136 , 1200 , 1420 , 1704 , 1775 , 2130 , 2840 , 3408 , 3550 , 4260 , 5325 , 5680 , 7100 , 8520 , 10650 , 14200 , 17040 , 21300 , 28400 , 42600 , 85200

Then, pair up the factors:
(1,85200),(2,42600),(3,28400),(4,21300),(5,17040),(6,14200),(8,10650),(10,8520),(12,7100),(15,5680),(16,5325),(20,4260),(24,3550),(25,3408),(30,2840),(40,2130),(48,1775),(50,1704),(60,1420),(71,1200),(75,1136),(80,1065),(100,852),(120,710),(142,600),(150,568),(200,426),(213,400),(240,355) and (284,300) These are the factor pairs of 85200 .

## Prime Factorisation of 85200

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 85200 using a factor tree, we would start by writing 85200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 85200 would be 2 x 2 x 2 x 2 x 3 x 5 x 5 x 71.

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 85200 using this method, we keep dividing until it gives a non-zero remainder.

85200 ÷ 2 = 42600
42600 ÷ 2 = 21300
21300 ÷ 2 = 10650
10650 ÷ 2 = 5325
5325 ÷ 3 = 1775
1775 ÷ 5 = 355
355 ÷ 5 = 71
71 ÷ 71 = 1

So the prime factors of 85200 are 2 x 2 x 2 x 2 x 3 x 5 x 5 x 71.

## Frequently Asked Questions on Factors

### What are all the factors of 85200 ?

The factors of 85200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 71 , 75 , 80 , 100 , 120 , 142 , 150 , 200 , 213 , 240 , 284 , 300 , 355 , 400 , 426 , 568 , 600 , 710 , 852 , 1065 , 1136 , 1200 , 1420 , 1704 , 1775 , 2130 , 2840 , 3408 , 3550 , 4260 , 5325 , 5680 , 7100 , 8520 , 10650 , 14200 , 17040 , 21300 , 28400 , 42600 and 85200.

### What is the prime factorization of 85200 ?

The prime factorization of 85200 is 2 x 2 x 2 x 2 x 3 x 5 x 5 x 71 or 24 x 31 x 52 x 711, where 2 , 3 , 5 , 71 are the prime numbers .

### What are the prime factors of 85200 ?

The prime factors of 85200 are 2 , 3 , 5 , 71 .

### Is 85200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
85200 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 48 , 50 , 60 , 71 , 75 , 80 , 100 , 120 , 142 , 150 , 200 , 213 , 240 , 284 , 300 , 355 , 400 , 426 , 568 , 600 , 710 , 852 , 1065 , 1136 , 1200 , 1420 , 1704 , 1775 , 2130 , 2840 , 3408 , 3550 , 4260 , 5325 , 5680 , 7100 , 8520 , 10650 , 14200 , 17040 , 21300 , 28400 , 42600 and 85200.