# What are all the factors, the prime factorization, and factor pairs of 165500?

To find the factors of 165500, divide 165500 by each number starting with 1 and working up to 165500

## 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 165500 ?

To calculate the factors of 165500 , you can use the division method.

1. Begin by dividing 165500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 165500.

3. Continue dividing 165500 by larger numbers until you find an odd number that does not divide evenly into 165500 .

4. The numbers that divide evenly into 165500 are the factors of 165500 .

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

165500 ÷ 1 = 165500
165500 ÷ 2 = 82750
165500 ÷ 4 = 41375
165500 ÷ 5 = 33100
165500 ÷ 10 = 16550
165500 ÷ 20 = 8275
165500 ÷ 25 = 6620
165500 ÷ 50 = 3310
165500 ÷ 100 = 1655
165500 ÷ 125 = 1324
165500 ÷ 250 = 662
165500 ÷ 331 = 500
165500 ÷ 500 = 331
165500 ÷ 662 = 250
165500 ÷ 1324 = 125
165500 ÷ 1655 = 100
165500 ÷ 3310 = 50
165500 ÷ 6620 = 25
165500 ÷ 8275 = 20
165500 ÷ 16550 = 10
165500 ÷ 33100 = 5
165500 ÷ 41375 = 4
165500 ÷ 82750 = 2
165500 ÷ 165500 = 1

As you can see, the factors of 165500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 331 , 500 , 662 , 1324 , 1655 , 3310 , 6620 , 8275 , 16550 , 33100 , 41375 , 82750 and 165500 .

## How many factors of 165500 are there ?

The factors of 165500 are the numbers that can evenly divide 165500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 331 , 500 , 662 , 1324 , 1655 , 3310 , 6620 , 8275 , 16550 , 33100 , 41375 , 82750 and 165500.

Thus, there are a total of 24 factors of 165500

## What are the factor pairs of 165500 ?

Factor Pairs of 165500 are combinations of two factors that when multiplied together equal 165500. There are many ways to calculate the factor pairs of 165500 .

One easy way is to list out the factors of 165500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 331 , 500 , 662 , 1324 , 1655 , 3310 , 6620 , 8275 , 16550 , 33100 , 41375 , 82750 , 165500

Then, pair up the factors:
(1,165500),(2,82750),(4,41375),(5,33100),(10,16550),(20,8275),(25,6620),(50,3310),(100,1655),(125,1324),(250,662) and (331,500) These are the factor pairs of 165500 .

## Prime Factorisation of 165500

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 165500 using a factor tree, we would start by writing 165500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 165500 would be 2 x 2 x 5 x 5 x 5 x 331.

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 165500 using this method, we keep dividing until it gives a non-zero remainder.

165500 ÷ 2 = 82750
82750 ÷ 2 = 41375
41375 ÷ 5 = 8275
8275 ÷ 5 = 1655
1655 ÷ 5 = 331
331 ÷ 331 = 1

So the prime factors of 165500 are 2 x 2 x 5 x 5 x 5 x 331.

## Frequently Asked Questions on Factors

### What are all the factors of 165500 ?

The factors of 165500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 331 , 500 , 662 , 1324 , 1655 , 3310 , 6620 , 8275 , 16550 , 33100 , 41375 , 82750 and 165500.

### What is the prime factorization of 165500 ?

The prime factorization of 165500 is 2 x 2 x 5 x 5 x 5 x 331 or 22 x 53 x 3311, where 2 , 5 , 331 are the prime numbers .

### What are the prime factors of 165500 ?

The prime factors of 165500 are 2 , 5 , 331 .

### Is 165500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
165500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 331 , 500 , 662 , 1324 , 1655 , 3310 , 6620 , 8275 , 16550 , 33100 , 41375 , 82750 and 165500.