# What are all the factors, the prime factorization, and factor pairs of 83500?

To find the factors of 83500, divide 83500 by each number starting with 1 and working up to 83500

## 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 83500 ?

To calculate the factors of 83500 , you can use the division method.

1. Begin by dividing 83500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 83500.

3. Continue dividing 83500 by larger numbers until you find an odd number that does not divide evenly into 83500 .

4. The numbers that divide evenly into 83500 are the factors of 83500 .

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

83500 ÷ 1 = 83500
83500 ÷ 2 = 41750
83500 ÷ 4 = 20875
83500 ÷ 5 = 16700
83500 ÷ 10 = 8350
83500 ÷ 20 = 4175
83500 ÷ 25 = 3340
83500 ÷ 50 = 1670
83500 ÷ 100 = 835
83500 ÷ 125 = 668
83500 ÷ 167 = 500
83500 ÷ 250 = 334
83500 ÷ 334 = 250
83500 ÷ 500 = 167
83500 ÷ 668 = 125
83500 ÷ 835 = 100
83500 ÷ 1670 = 50
83500 ÷ 3340 = 25
83500 ÷ 4175 = 20
83500 ÷ 8350 = 10
83500 ÷ 16700 = 5
83500 ÷ 20875 = 4
83500 ÷ 41750 = 2
83500 ÷ 83500 = 1

As you can see, the factors of 83500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 167 , 250 , 334 , 500 , 668 , 835 , 1670 , 3340 , 4175 , 8350 , 16700 , 20875 , 41750 and 83500 .

## How many factors of 83500 are there ?

The factors of 83500 are the numbers that can evenly divide 83500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 167 , 250 , 334 , 500 , 668 , 835 , 1670 , 3340 , 4175 , 8350 , 16700 , 20875 , 41750 and 83500.

Thus, there are a total of 24 factors of 83500

## What are the factor pairs of 83500 ?

Factor Pairs of 83500 are combinations of two factors that when multiplied together equal 83500. There are many ways to calculate the factor pairs of 83500 .

One easy way is to list out the factors of 83500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 167 , 250 , 334 , 500 , 668 , 835 , 1670 , 3340 , 4175 , 8350 , 16700 , 20875 , 41750 , 83500

Then, pair up the factors:
(1,83500),(2,41750),(4,20875),(5,16700),(10,8350),(20,4175),(25,3340),(50,1670),(100,835),(125,668),(167,500) and (250,334) These are the factor pairs of 83500 .

## Prime Factorisation of 83500

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 83500 using a factor tree, we would start by writing 83500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 83500 would be 2 x 2 x 5 x 5 x 5 x 167.

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 83500 using this method, we keep dividing until it gives a non-zero remainder.

83500 ÷ 2 = 41750
41750 ÷ 2 = 20875
20875 ÷ 5 = 4175
4175 ÷ 5 = 835
835 ÷ 5 = 167
167 ÷ 167 = 1

So the prime factors of 83500 are 2 x 2 x 5 x 5 x 5 x 167.

## Frequently Asked Questions on Factors

### What are all the factors of 83500 ?

The factors of 83500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 167 , 250 , 334 , 500 , 668 , 835 , 1670 , 3340 , 4175 , 8350 , 16700 , 20875 , 41750 and 83500.

### What is the prime factorization of 83500 ?

The prime factorization of 83500 is 2 x 2 x 5 x 5 x 5 x 167 or 22 x 53 x 1671, where 2 , 5 , 167 are the prime numbers .

### What are the prime factors of 83500 ?

The prime factors of 83500 are 2 , 5 , 167 .

### Is 83500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
83500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 167 , 250 , 334 , 500 , 668 , 835 , 1670 , 3340 , 4175 , 8350 , 16700 , 20875 , 41750 and 83500.