# What are all the factors, the prime factorization, and factor pairs of 10000?

To find the factors of 10000, divide 10000 by each number starting with 1 and working up to 10000

## 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 10000 ?

To calculate the factors of 10000 , you can use the division method.

1. Begin by dividing 10000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 10000.

3. Continue dividing 10000 by larger numbers until you find an odd number that does not divide evenly into 10000 .

4. The numbers that divide evenly into 10000 are the factors of 10000 .

Now let us find how to calculate all the factors of Ten thousand :

10000 ÷ 1 = 10000
10000 ÷ 2 = 5000
10000 ÷ 4 = 2500
10000 ÷ 5 = 2000
10000 ÷ 8 = 1250
10000 ÷ 10 = 1000
10000 ÷ 16 = 625
10000 ÷ 20 = 500
10000 ÷ 25 = 400
10000 ÷ 40 = 250
10000 ÷ 50 = 200
10000 ÷ 80 = 125
10000 ÷ 100 = 100
10000 ÷ 125 = 80
10000 ÷ 200 = 50
10000 ÷ 250 = 40
10000 ÷ 400 = 25
10000 ÷ 500 = 20
10000 ÷ 625 = 16
10000 ÷ 1000 = 10
10000 ÷ 1250 = 8
10000 ÷ 2000 = 5
10000 ÷ 2500 = 4
10000 ÷ 5000 = 2
10000 ÷ 10000 = 1

As you can see, the factors of 10000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 500 , 625 , 1000 , 1250 , 2000 , 2500 , 5000 and 10000 .

## How many factors of 10000 are there ?

The factors of 10000 are the numbers that can evenly divide 10000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 500 , 625 , 1000 , 1250 , 2000 , 2500 , 5000 and 10000.

Thus, there are a total of 25 factors of 10000

## What are the factor pairs of 10000 ?

Factor Pairs of 10000 are combinations of two factors that when multiplied together equal 10000. There are many ways to calculate the factor pairs of 10000 .

One easy way is to list out the factors of 10000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 500 , 625 , 1000 , 1250 , 2000 , 2500 , 5000 , 10000

Then, pair up the factors:
(1,10000),(2,5000),(4,2500),(5,2000),(8,1250),(10,1000),(16,625),(20,500),(25,400),(40,250),(50,200),(80,125) and (100,100) These are the factor pairs of 10000 .

## Prime Factorisation of 10000

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 10000 using a factor tree, we would start by writing 10000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 10000 would be 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5.

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 10000 using this method, we keep dividing until it gives a non-zero remainder.

10000 ÷ 2 = 5000
5000 ÷ 2 = 2500
2500 ÷ 2 = 1250
1250 ÷ 2 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 10000 are 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 10000 ?

The factors of 10000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 500 , 625 , 1000 , 1250 , 2000 , 2500 , 5000 and 10000.

### What is the prime factorization of 10000 ?

The prime factorization of 10000 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 or 24 x 54, where 2 , 5 are the prime numbers .

### What are the prime factors of 10000 ?

The prime factors of 10000 are 2 , 5 .

### Is 10000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
10000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 500 , 625 , 1000 , 1250 , 2000 , 2500 , 5000 and 10000.