# What are all the factors, the prime factorization, and factor pairs of 438500?

To find the factors of 438500, divide 438500 by each number starting with 1 and working up to 438500

## 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 438500 ?

To calculate the factors of 438500 , you can use the division method.

1. Begin by dividing 438500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 438500.

3. Continue dividing 438500 by larger numbers until you find an odd number that does not divide evenly into 438500 .

4. The numbers that divide evenly into 438500 are the factors of 438500 .

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

438500 ÷ 1 = 438500
438500 ÷ 2 = 219250
438500 ÷ 4 = 109625
438500 ÷ 5 = 87700
438500 ÷ 10 = 43850
438500 ÷ 20 = 21925
438500 ÷ 25 = 17540
438500 ÷ 50 = 8770
438500 ÷ 100 = 4385
438500 ÷ 125 = 3508
438500 ÷ 250 = 1754
438500 ÷ 500 = 877
438500 ÷ 877 = 500
438500 ÷ 1754 = 250
438500 ÷ 3508 = 125
438500 ÷ 4385 = 100
438500 ÷ 8770 = 50
438500 ÷ 17540 = 25
438500 ÷ 21925 = 20
438500 ÷ 43850 = 10
438500 ÷ 87700 = 5
438500 ÷ 109625 = 4
438500 ÷ 219250 = 2
438500 ÷ 438500 = 1

As you can see, the factors of 438500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 877 , 1754 , 3508 , 4385 , 8770 , 17540 , 21925 , 43850 , 87700 , 109625 , 219250 and 438500 .

## How many factors of 438500 are there ?

The factors of 438500 are the numbers that can evenly divide 438500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 877 , 1754 , 3508 , 4385 , 8770 , 17540 , 21925 , 43850 , 87700 , 109625 , 219250 and 438500.

Thus, there are a total of 24 factors of 438500

## What are the factor pairs of 438500 ?

Factor Pairs of 438500 are combinations of two factors that when multiplied together equal 438500. There are many ways to calculate the factor pairs of 438500 .

One easy way is to list out the factors of 438500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 877 , 1754 , 3508 , 4385 , 8770 , 17540 , 21925 , 43850 , 87700 , 109625 , 219250 , 438500

Then, pair up the factors:
(1,438500),(2,219250),(4,109625),(5,87700),(10,43850),(20,21925),(25,17540),(50,8770),(100,4385),(125,3508),(250,1754) and (500,877) These are the factor pairs of 438500 .

## Prime Factorisation of 438500

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 438500 using a factor tree, we would start by writing 438500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 438500 would be 2 x 2 x 5 x 5 x 5 x 877.

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 438500 using this method, we keep dividing until it gives a non-zero remainder.

438500 ÷ 2 = 219250
219250 ÷ 2 = 109625
109625 ÷ 5 = 21925
21925 ÷ 5 = 4385
4385 ÷ 5 = 877
877 ÷ 877 = 1

So the prime factors of 438500 are 2 x 2 x 5 x 5 x 5 x 877.

## Frequently Asked Questions on Factors

### What are all the factors of 438500 ?

The factors of 438500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 877 , 1754 , 3508 , 4385 , 8770 , 17540 , 21925 , 43850 , 87700 , 109625 , 219250 and 438500.

### What is the prime factorization of 438500 ?

The prime factorization of 438500 is 2 x 2 x 5 x 5 x 5 x 877 or 22 x 53 x 8771, where 2 , 5 , 877 are the prime numbers .

### What are the prime factors of 438500 ?

The prime factors of 438500 are 2 , 5 , 877 .

### Is 438500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
438500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 877 , 1754 , 3508 , 4385 , 8770 , 17540 , 21925 , 43850 , 87700 , 109625 , 219250 and 438500.