# What are all the factors, the prime factorization, and factor pairs of 243500?

To find the factors of 243500, divide 243500 by each number starting with 1 and working up to 243500

## 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 243500 ?

To calculate the factors of 243500 , you can use the division method.

1. Begin by dividing 243500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 243500.

3. Continue dividing 243500 by larger numbers until you find an odd number that does not divide evenly into 243500 .

4. The numbers that divide evenly into 243500 are the factors of 243500 .

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

243500 ÷ 1 = 243500
243500 ÷ 2 = 121750
243500 ÷ 4 = 60875
243500 ÷ 5 = 48700
243500 ÷ 10 = 24350
243500 ÷ 20 = 12175
243500 ÷ 25 = 9740
243500 ÷ 50 = 4870
243500 ÷ 100 = 2435
243500 ÷ 125 = 1948
243500 ÷ 250 = 974
243500 ÷ 487 = 500
243500 ÷ 500 = 487
243500 ÷ 974 = 250
243500 ÷ 1948 = 125
243500 ÷ 2435 = 100
243500 ÷ 4870 = 50
243500 ÷ 9740 = 25
243500 ÷ 12175 = 20
243500 ÷ 24350 = 10
243500 ÷ 48700 = 5
243500 ÷ 60875 = 4
243500 ÷ 121750 = 2
243500 ÷ 243500 = 1

As you can see, the factors of 243500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 487 , 500 , 974 , 1948 , 2435 , 4870 , 9740 , 12175 , 24350 , 48700 , 60875 , 121750 and 243500 .

## How many factors of 243500 are there ?

The factors of 243500 are the numbers that can evenly divide 243500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 487 , 500 , 974 , 1948 , 2435 , 4870 , 9740 , 12175 , 24350 , 48700 , 60875 , 121750 and 243500.

Thus, there are a total of 24 factors of 243500

## What are the factor pairs of 243500 ?

Factor Pairs of 243500 are combinations of two factors that when multiplied together equal 243500. There are many ways to calculate the factor pairs of 243500 .

One easy way is to list out the factors of 243500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 487 , 500 , 974 , 1948 , 2435 , 4870 , 9740 , 12175 , 24350 , 48700 , 60875 , 121750 , 243500

Then, pair up the factors:
(1,243500),(2,121750),(4,60875),(5,48700),(10,24350),(20,12175),(25,9740),(50,4870),(100,2435),(125,1948),(250,974) and (487,500) These are the factor pairs of 243500 .

## Prime Factorisation of 243500

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 243500 using a factor tree, we would start by writing 243500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 243500 would be 2 x 2 x 5 x 5 x 5 x 487.

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 243500 using this method, we keep dividing until it gives a non-zero remainder.

243500 ÷ 2 = 121750
121750 ÷ 2 = 60875
60875 ÷ 5 = 12175
12175 ÷ 5 = 2435
2435 ÷ 5 = 487
487 ÷ 487 = 1

So the prime factors of 243500 are 2 x 2 x 5 x 5 x 5 x 487.

## Frequently Asked Questions on Factors

### What are all the factors of 243500 ?

The factors of 243500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 487 , 500 , 974 , 1948 , 2435 , 4870 , 9740 , 12175 , 24350 , 48700 , 60875 , 121750 and 243500.

### What is the prime factorization of 243500 ?

The prime factorization of 243500 is 2 x 2 x 5 x 5 x 5 x 487 or 22 x 53 x 4871, where 2 , 5 , 487 are the prime numbers .

### What are the prime factors of 243500 ?

The prime factors of 243500 are 2 , 5 , 487 .

### Is 243500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
243500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 487 , 500 , 974 , 1948 , 2435 , 4870 , 9740 , 12175 , 24350 , 48700 , 60875 , 121750 and 243500.