# What are all the factors, the prime factorization, and factor pairs of 380500?

To find the factors of 380500, divide 380500 by each number starting with 1 and working up to 380500

## 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 380500 ?

To calculate the factors of 380500 , you can use the division method.

1. Begin by dividing 380500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 380500.

3. Continue dividing 380500 by larger numbers until you find an odd number that does not divide evenly into 380500 .

4. The numbers that divide evenly into 380500 are the factors of 380500 .

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

380500 ÷ 1 = 380500
380500 ÷ 2 = 190250
380500 ÷ 4 = 95125
380500 ÷ 5 = 76100
380500 ÷ 10 = 38050
380500 ÷ 20 = 19025
380500 ÷ 25 = 15220
380500 ÷ 50 = 7610
380500 ÷ 100 = 3805
380500 ÷ 125 = 3044
380500 ÷ 250 = 1522
380500 ÷ 500 = 761
380500 ÷ 761 = 500
380500 ÷ 1522 = 250
380500 ÷ 3044 = 125
380500 ÷ 3805 = 100
380500 ÷ 7610 = 50
380500 ÷ 15220 = 25
380500 ÷ 19025 = 20
380500 ÷ 38050 = 10
380500 ÷ 76100 = 5
380500 ÷ 95125 = 4
380500 ÷ 190250 = 2
380500 ÷ 380500 = 1

As you can see, the factors of 380500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 761 , 1522 , 3044 , 3805 , 7610 , 15220 , 19025 , 38050 , 76100 , 95125 , 190250 and 380500 .

## How many factors of 380500 are there ?

The factors of 380500 are the numbers that can evenly divide 380500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 761 , 1522 , 3044 , 3805 , 7610 , 15220 , 19025 , 38050 , 76100 , 95125 , 190250 and 380500.

Thus, there are a total of 24 factors of 380500

## What are the factor pairs of 380500 ?

Factor Pairs of 380500 are combinations of two factors that when multiplied together equal 380500. There are many ways to calculate the factor pairs of 380500 .

One easy way is to list out the factors of 380500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 761 , 1522 , 3044 , 3805 , 7610 , 15220 , 19025 , 38050 , 76100 , 95125 , 190250 , 380500

Then, pair up the factors:
(1,380500),(2,190250),(4,95125),(5,76100),(10,38050),(20,19025),(25,15220),(50,7610),(100,3805),(125,3044),(250,1522) and (500,761) These are the factor pairs of 380500 .

## Prime Factorisation of 380500

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 380500 using a factor tree, we would start by writing 380500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 380500 would be 2 x 2 x 5 x 5 x 5 x 761.

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 380500 using this method, we keep dividing until it gives a non-zero remainder.

380500 ÷ 2 = 190250
190250 ÷ 2 = 95125
95125 ÷ 5 = 19025
19025 ÷ 5 = 3805
3805 ÷ 5 = 761
761 ÷ 761 = 1

So the prime factors of 380500 are 2 x 2 x 5 x 5 x 5 x 761.

## Frequently Asked Questions on Factors

### What are all the factors of 380500 ?

The factors of 380500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 761 , 1522 , 3044 , 3805 , 7610 , 15220 , 19025 , 38050 , 76100 , 95125 , 190250 and 380500.

### What is the prime factorization of 380500 ?

The prime factorization of 380500 is 2 x 2 x 5 x 5 x 5 x 761 or 22 x 53 x 7611, where 2 , 5 , 761 are the prime numbers .

### What are the prime factors of 380500 ?

The prime factors of 380500 are 2 , 5 , 761 .

### Is 380500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
380500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 250 , 500 , 761 , 1522 , 3044 , 3805 , 7610 , 15220 , 19025 , 38050 , 76100 , 95125 , 190250 and 380500.