# What are all the factors, the prime factorization, and factor pairs of 80700?

To find the factors of 80700, divide 80700 by each number starting with 1 and working up to 80700

## 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 80700 ?

To calculate the factors of 80700 , you can use the division method.

1. Begin by dividing 80700 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 80700.

3. Continue dividing 80700 by larger numbers until you find an odd number that does not divide evenly into 80700 .

4. The numbers that divide evenly into 80700 are the factors of 80700 .

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

80700 ÷ 1 = 80700
80700 ÷ 2 = 40350
80700 ÷ 3 = 26900
80700 ÷ 4 = 20175
80700 ÷ 5 = 16140
80700 ÷ 6 = 13450
80700 ÷ 10 = 8070
80700 ÷ 12 = 6725
80700 ÷ 15 = 5380
80700 ÷ 20 = 4035
80700 ÷ 25 = 3228
80700 ÷ 30 = 2690
80700 ÷ 50 = 1614
80700 ÷ 60 = 1345
80700 ÷ 75 = 1076
80700 ÷ 100 = 807
80700 ÷ 150 = 538
80700 ÷ 269 = 300
80700 ÷ 300 = 269
80700 ÷ 538 = 150
80700 ÷ 807 = 100
80700 ÷ 1076 = 75
80700 ÷ 1345 = 60
80700 ÷ 1614 = 50
80700 ÷ 2690 = 30
80700 ÷ 3228 = 25
80700 ÷ 4035 = 20
80700 ÷ 5380 = 15
80700 ÷ 6725 = 12
80700 ÷ 8070 = 10
80700 ÷ 13450 = 6
80700 ÷ 16140 = 5
80700 ÷ 20175 = 4
80700 ÷ 26900 = 3
80700 ÷ 40350 = 2
80700 ÷ 80700 = 1

As you can see, the factors of 80700 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 269 , 300 , 538 , 807 , 1076 , 1345 , 1614 , 2690 , 3228 , 4035 , 5380 , 6725 , 8070 , 13450 , 16140 , 20175 , 26900 , 40350 and 80700 .

## How many factors of 80700 are there ?

The factors of 80700 are the numbers that can evenly divide 80700 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 269 , 300 , 538 , 807 , 1076 , 1345 , 1614 , 2690 , 3228 , 4035 , 5380 , 6725 , 8070 , 13450 , 16140 , 20175 , 26900 , 40350 and 80700.

Thus, there are a total of 36 factors of 80700

## What are the factor pairs of 80700 ?

Factor Pairs of 80700 are combinations of two factors that when multiplied together equal 80700. There are many ways to calculate the factor pairs of 80700 .

One easy way is to list out the factors of 80700 :
1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 269 , 300 , 538 , 807 , 1076 , 1345 , 1614 , 2690 , 3228 , 4035 , 5380 , 6725 , 8070 , 13450 , 16140 , 20175 , 26900 , 40350 , 80700

Then, pair up the factors:
(1,80700),(2,40350),(3,26900),(4,20175),(5,16140),(6,13450),(10,8070),(12,6725),(15,5380),(20,4035),(25,3228),(30,2690),(50,1614),(60,1345),(75,1076),(100,807),(150,538) and (269,300) These are the factor pairs of 80700 .

## Prime Factorisation of 80700

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 80700 using a factor tree, we would start by writing 80700 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 80700 would be 2 x 2 x 3 x 5 x 5 x 269.

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 80700 using this method, we keep dividing until it gives a non-zero remainder.

80700 ÷ 2 = 40350
40350 ÷ 2 = 20175
20175 ÷ 3 = 6725
6725 ÷ 5 = 1345
1345 ÷ 5 = 269
269 ÷ 269 = 1

So the prime factors of 80700 are 2 x 2 x 3 x 5 x 5 x 269.

## Frequently Asked Questions on Factors

### What are all the factors of 80700 ?

The factors of 80700 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 269 , 300 , 538 , 807 , 1076 , 1345 , 1614 , 2690 , 3228 , 4035 , 5380 , 6725 , 8070 , 13450 , 16140 , 20175 , 26900 , 40350 and 80700.

### What is the prime factorization of 80700 ?

The prime factorization of 80700 is 2 x 2 x 3 x 5 x 5 x 269 or 22 x 31 x 52 x 2691, where 2 , 3 , 5 , 269 are the prime numbers .

### What are the prime factors of 80700 ?

The prime factors of 80700 are 2 , 3 , 5 , 269 .

### Is 80700 a prime number ?

A prime number is a number that has only two factors 1 and itself.
80700 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , 269 , 300 , 538 , 807 , 1076 , 1345 , 1614 , 2690 , 3228 , 4035 , 5380 , 6725 , 8070 , 13450 , 16140 , 20175 , 26900 , 40350 and 80700.