# What are all the factors, the prime factorization, and factor pairs of 16500?

To find the factors of 16500, divide 16500 by each number starting with 1 and working up to 16500

## 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 16500 ?

To calculate the factors of 16500 , you can use the division method.

1. Begin by dividing 16500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 16500.

3. Continue dividing 16500 by larger numbers until you find an odd number that does not divide evenly into 16500 .

4. The numbers that divide evenly into 16500 are the factors of 16500 .

Now let us find how to calculate all the factors of Sixteen thousand five hundred :

16500 ÷ 1 = 16500
16500 ÷ 2 = 8250
16500 ÷ 3 = 5500
16500 ÷ 4 = 4125
16500 ÷ 5 = 3300
16500 ÷ 6 = 2750
16500 ÷ 10 = 1650
16500 ÷ 11 = 1500
16500 ÷ 12 = 1375
16500 ÷ 15 = 1100
16500 ÷ 20 = 825
16500 ÷ 22 = 750
16500 ÷ 25 = 660
16500 ÷ 30 = 550
16500 ÷ 33 = 500
16500 ÷ 44 = 375
16500 ÷ 50 = 330
16500 ÷ 55 = 300
16500 ÷ 60 = 275
16500 ÷ 66 = 250
16500 ÷ 75 = 220
16500 ÷ 100 = 165
16500 ÷ 110 = 150
16500 ÷ 125 = 132
16500 ÷ 132 = 125
16500 ÷ 150 = 110
16500 ÷ 165 = 100
16500 ÷ 220 = 75
16500 ÷ 250 = 66
16500 ÷ 275 = 60
16500 ÷ 300 = 55
16500 ÷ 330 = 50
16500 ÷ 375 = 44
16500 ÷ 500 = 33
16500 ÷ 550 = 30
16500 ÷ 660 = 25
16500 ÷ 750 = 22
16500 ÷ 825 = 20
16500 ÷ 1100 = 15
16500 ÷ 1375 = 12
16500 ÷ 1500 = 11
16500 ÷ 1650 = 10
16500 ÷ 2750 = 6
16500 ÷ 3300 = 5
16500 ÷ 4125 = 4
16500 ÷ 5500 = 3
16500 ÷ 8250 = 2
16500 ÷ 16500 = 1

As you can see, the factors of 16500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 11 , 12 , 15 , 20 , 22 , 25 , 30 , 33 , 44 , 50 , 55 , 60 , 66 , 75 , 100 , 110 , 125 , 132 , 150 , 165 , 220 , 250 , 275 , 300 , 330 , 375 , 500 , 550 , 660 , 750 , 825 , 1100 , 1375 , 1500 , 1650 , 2750 , 3300 , 4125 , 5500 , 8250 and 16500 .

## How many factors of 16500 are there ?

The factors of 16500 are the numbers that can evenly divide 16500 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 11 , 12 , 15 , 20 , 22 , 25 , 30 , 33 , 44 , 50 , 55 , 60 , 66 , 75 , 100 , 110 , 125 , 132 , 150 , 165 , 220 , 250 , 275 , 300 , 330 , 375 , 500 , 550 , 660 , 750 , 825 , 1100 , 1375 , 1500 , 1650 , 2750 , 3300 , 4125 , 5500 , 8250 and 16500.

Thus, there are a total of 48 factors of 16500

## What are the factor pairs of 16500 ?

Factor Pairs of 16500 are combinations of two factors that when multiplied together equal 16500. There are many ways to calculate the factor pairs of 16500 .

One easy way is to list out the factors of 16500 :
1 , 2 , 3 , 4 , 5 , 6 , 10 , 11 , 12 , 15 , 20 , 22 , 25 , 30 , 33 , 44 , 50 , 55 , 60 , 66 , 75 , 100 , 110 , 125 , 132 , 150 , 165 , 220 , 250 , 275 , 300 , 330 , 375 , 500 , 550 , 660 , 750 , 825 , 1100 , 1375 , 1500 , 1650 , 2750 , 3300 , 4125 , 5500 , 8250 , 16500

Then, pair up the factors:
(1,16500),(2,8250),(3,5500),(4,4125),(5,3300),(6,2750),(10,1650),(11,1500),(12,1375),(15,1100),(20,825),(22,750),(25,660),(30,550),(33,500),(44,375),(50,330),(55,300),(60,275),(66,250),(75,220),(100,165),(110,150) and (125,132) These are the factor pairs of 16500 .

## Prime Factorisation of 16500

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 16500 using a factor tree, we would start by writing 16500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 16500 would be 2 x 2 x 3 x 5 x 5 x 5 x 11.

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 16500 using this method, we keep dividing until it gives a non-zero remainder.

16500 ÷ 2 = 8250
8250 ÷ 2 = 4125
4125 ÷ 3 = 1375
1375 ÷ 5 = 275
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1

So the prime factors of 16500 are 2 x 2 x 3 x 5 x 5 x 5 x 11.

## Frequently Asked Questions on Factors

### What are all the factors of 16500 ?

The factors of 16500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 11 , 12 , 15 , 20 , 22 , 25 , 30 , 33 , 44 , 50 , 55 , 60 , 66 , 75 , 100 , 110 , 125 , 132 , 150 , 165 , 220 , 250 , 275 , 300 , 330 , 375 , 500 , 550 , 660 , 750 , 825 , 1100 , 1375 , 1500 , 1650 , 2750 , 3300 , 4125 , 5500 , 8250 and 16500.

### What is the prime factorization of 16500 ?

The prime factorization of 16500 is 2 x 2 x 3 x 5 x 5 x 5 x 11 or 22 x 31 x 53 x 111, where 2 , 3 , 5 , 11 are the prime numbers .

### What are the prime factors of 16500 ?

The prime factors of 16500 are 2 , 3 , 5 , 11 .

### Is 16500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
16500 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 11 , 12 , 15 , 20 , 22 , 25 , 30 , 33 , 44 , 50 , 55 , 60 , 66 , 75 , 100 , 110 , 125 , 132 , 150 , 165 , 220 , 250 , 275 , 300 , 330 , 375 , 500 , 550 , 660 , 750 , 825 , 1100 , 1375 , 1500 , 1650 , 2750 , 3300 , 4125 , 5500 , 8250 and 16500.