# What are all the factors, the prime factorization, and factor pairs of 47000?

To find the factors of 47000, divide 47000 by each number starting with 1 and working up to 47000

## 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 47000 ?

To calculate the factors of 47000 , you can use the division method.

1. Begin by dividing 47000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 47000.

3. Continue dividing 47000 by larger numbers until you find an odd number that does not divide evenly into 47000 .

4. The numbers that divide evenly into 47000 are the factors of 47000 .

Now let us find how to calculate all the factors of Forty-seven thousand :

47000 ÷ 1 = 47000
47000 ÷ 2 = 23500
47000 ÷ 4 = 11750
47000 ÷ 5 = 9400
47000 ÷ 8 = 5875
47000 ÷ 10 = 4700
47000 ÷ 20 = 2350
47000 ÷ 25 = 1880
47000 ÷ 40 = 1175
47000 ÷ 47 = 1000
47000 ÷ 50 = 940
47000 ÷ 94 = 500
47000 ÷ 100 = 470
47000 ÷ 125 = 376
47000 ÷ 188 = 250
47000 ÷ 200 = 235
47000 ÷ 235 = 200
47000 ÷ 250 = 188
47000 ÷ 376 = 125
47000 ÷ 470 = 100
47000 ÷ 500 = 94
47000 ÷ 940 = 50
47000 ÷ 1000 = 47
47000 ÷ 1175 = 40
47000 ÷ 1880 = 25
47000 ÷ 2350 = 20
47000 ÷ 4700 = 10
47000 ÷ 5875 = 8
47000 ÷ 9400 = 5
47000 ÷ 11750 = 4
47000 ÷ 23500 = 2
47000 ÷ 47000 = 1

As you can see, the factors of 47000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 47 , 50 , 94 , 100 , 125 , 188 , 200 , 235 , 250 , 376 , 470 , 500 , 940 , 1000 , 1175 , 1880 , 2350 , 4700 , 5875 , 9400 , 11750 , 23500 and 47000 .

## How many factors of 47000 are there ?

The factors of 47000 are the numbers that can evenly divide 47000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 47 , 50 , 94 , 100 , 125 , 188 , 200 , 235 , 250 , 376 , 470 , 500 , 940 , 1000 , 1175 , 1880 , 2350 , 4700 , 5875 , 9400 , 11750 , 23500 and 47000.

Thus, there are a total of 32 factors of 47000

## What are the factor pairs of 47000 ?

Factor Pairs of 47000 are combinations of two factors that when multiplied together equal 47000. There are many ways to calculate the factor pairs of 47000 .

One easy way is to list out the factors of 47000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 47 , 50 , 94 , 100 , 125 , 188 , 200 , 235 , 250 , 376 , 470 , 500 , 940 , 1000 , 1175 , 1880 , 2350 , 4700 , 5875 , 9400 , 11750 , 23500 , 47000

Then, pair up the factors:
(1,47000),(2,23500),(4,11750),(5,9400),(8,5875),(10,4700),(20,2350),(25,1880),(40,1175),(47,1000),(50,940),(94,500),(100,470),(125,376),(188,250) and (200,235) These are the factor pairs of 47000 .

## Prime Factorisation of 47000

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 47000 using a factor tree, we would start by writing 47000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 47000 would be 2 x 2 x 2 x 5 x 5 x 5 x 47.

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 47000 using this method, we keep dividing until it gives a non-zero remainder.

47000 ÷ 2 = 23500
23500 ÷ 2 = 11750
11750 ÷ 2 = 5875
5875 ÷ 5 = 1175
1175 ÷ 5 = 235
235 ÷ 5 = 47
47 ÷ 47 = 1

So the prime factors of 47000 are 2 x 2 x 2 x 5 x 5 x 5 x 47.

## Frequently Asked Questions on Factors

### What are all the factors of 47000 ?

The factors of 47000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 47 , 50 , 94 , 100 , 125 , 188 , 200 , 235 , 250 , 376 , 470 , 500 , 940 , 1000 , 1175 , 1880 , 2350 , 4700 , 5875 , 9400 , 11750 , 23500 and 47000.

### What is the prime factorization of 47000 ?

The prime factorization of 47000 is 2 x 2 x 2 x 5 x 5 x 5 x 47 or 23 x 53 x 471, where 2 , 5 , 47 are the prime numbers .

### What are the prime factors of 47000 ?

The prime factors of 47000 are 2 , 5 , 47 .

### Is 47000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
47000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 47 , 50 , 94 , 100 , 125 , 188 , 200 , 235 , 250 , 376 , 470 , 500 , 940 , 1000 , 1175 , 1880 , 2350 , 4700 , 5875 , 9400 , 11750 , 23500 and 47000.