# What are all the factors, the prime factorization, and factor pairs of 65500?

To find the factors of 65500, divide 65500 by each number starting with 1 and working up to 65500

## 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 65500 ?

To calculate the factors of 65500 , you can use the division method.

1. Begin by dividing 65500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 65500.

3. Continue dividing 65500 by larger numbers until you find an odd number that does not divide evenly into 65500 .

4. The numbers that divide evenly into 65500 are the factors of 65500 .

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

65500 ÷ 1 = 65500
65500 ÷ 2 = 32750
65500 ÷ 4 = 16375
65500 ÷ 5 = 13100
65500 ÷ 10 = 6550
65500 ÷ 20 = 3275
65500 ÷ 25 = 2620
65500 ÷ 50 = 1310
65500 ÷ 100 = 655
65500 ÷ 125 = 524
65500 ÷ 131 = 500
65500 ÷ 250 = 262
65500 ÷ 262 = 250
65500 ÷ 500 = 131
65500 ÷ 524 = 125
65500 ÷ 655 = 100
65500 ÷ 1310 = 50
65500 ÷ 2620 = 25
65500 ÷ 3275 = 20
65500 ÷ 6550 = 10
65500 ÷ 13100 = 5
65500 ÷ 16375 = 4
65500 ÷ 32750 = 2
65500 ÷ 65500 = 1

As you can see, the factors of 65500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 131 , 250 , 262 , 500 , 524 , 655 , 1310 , 2620 , 3275 , 6550 , 13100 , 16375 , 32750 and 65500 .

## How many factors of 65500 are there ?

The factors of 65500 are the numbers that can evenly divide 65500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 131 , 250 , 262 , 500 , 524 , 655 , 1310 , 2620 , 3275 , 6550 , 13100 , 16375 , 32750 and 65500.

Thus, there are a total of 24 factors of 65500

## What are the factor pairs of 65500 ?

Factor Pairs of 65500 are combinations of two factors that when multiplied together equal 65500. There are many ways to calculate the factor pairs of 65500 .

One easy way is to list out the factors of 65500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 131 , 250 , 262 , 500 , 524 , 655 , 1310 , 2620 , 3275 , 6550 , 13100 , 16375 , 32750 , 65500

Then, pair up the factors:
(1,65500),(2,32750),(4,16375),(5,13100),(10,6550),(20,3275),(25,2620),(50,1310),(100,655),(125,524),(131,500) and (250,262) These are the factor pairs of 65500 .

## Prime Factorisation of 65500

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 65500 using a factor tree, we would start by writing 65500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 65500 would be 2 x 2 x 5 x 5 x 5 x 131.

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 65500 using this method, we keep dividing until it gives a non-zero remainder.

65500 ÷ 2 = 32750
32750 ÷ 2 = 16375
16375 ÷ 5 = 3275
3275 ÷ 5 = 655
655 ÷ 5 = 131
131 ÷ 131 = 1

So the prime factors of 65500 are 2 x 2 x 5 x 5 x 5 x 131.

## Frequently Asked Questions on Factors

### What are all the factors of 65500 ?

The factors of 65500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 131 , 250 , 262 , 500 , 524 , 655 , 1310 , 2620 , 3275 , 6550 , 13100 , 16375 , 32750 and 65500.

### What is the prime factorization of 65500 ?

The prime factorization of 65500 is 2 x 2 x 5 x 5 x 5 x 131 or 22 x 53 x 1311, where 2 , 5 , 131 are the prime numbers .

### What are the prime factors of 65500 ?

The prime factors of 65500 are 2 , 5 , 131 .

### Is 65500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
65500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 131 , 250 , 262 , 500 , 524 , 655 , 1310 , 2620 , 3275 , 6550 , 13100 , 16375 , 32750 and 65500.