# What are all the factors, the prime factorization, and factor pairs of 31000?

To find the factors of 31000, divide 31000 by each number starting with 1 and working up to 31000

## 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 31000 ?

To calculate the factors of 31000 , you can use the division method.

1. Begin by dividing 31000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 31000.

3. Continue dividing 31000 by larger numbers until you find an odd number that does not divide evenly into 31000 .

4. The numbers that divide evenly into 31000 are the factors of 31000 .

Now let us find how to calculate all the factors of Thirty-one thousand :

31000 ÷ 1 = 31000
31000 ÷ 2 = 15500
31000 ÷ 4 = 7750
31000 ÷ 5 = 6200
31000 ÷ 8 = 3875
31000 ÷ 10 = 3100
31000 ÷ 20 = 1550
31000 ÷ 25 = 1240
31000 ÷ 31 = 1000
31000 ÷ 40 = 775
31000 ÷ 50 = 620
31000 ÷ 62 = 500
31000 ÷ 100 = 310
31000 ÷ 124 = 250
31000 ÷ 125 = 248
31000 ÷ 155 = 200
31000 ÷ 200 = 155
31000 ÷ 248 = 125
31000 ÷ 250 = 124
31000 ÷ 310 = 100
31000 ÷ 500 = 62
31000 ÷ 620 = 50
31000 ÷ 775 = 40
31000 ÷ 1000 = 31
31000 ÷ 1240 = 25
31000 ÷ 1550 = 20
31000 ÷ 3100 = 10
31000 ÷ 3875 = 8
31000 ÷ 6200 = 5
31000 ÷ 7750 = 4
31000 ÷ 15500 = 2
31000 ÷ 31000 = 1

As you can see, the factors of 31000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 31 , 40 , 50 , 62 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 3100 , 3875 , 6200 , 7750 , 15500 and 31000 .

## How many factors of 31000 are there ?

The factors of 31000 are the numbers that can evenly divide 31000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 31 , 40 , 50 , 62 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 3100 , 3875 , 6200 , 7750 , 15500 and 31000.

Thus, there are a total of 32 factors of 31000

## What are the factor pairs of 31000 ?

Factor Pairs of 31000 are combinations of two factors that when multiplied together equal 31000. There are many ways to calculate the factor pairs of 31000 .

One easy way is to list out the factors of 31000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 31 , 40 , 50 , 62 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 3100 , 3875 , 6200 , 7750 , 15500 , 31000

Then, pair up the factors:
(1,31000),(2,15500),(4,7750),(5,6200),(8,3875),(10,3100),(20,1550),(25,1240),(31,1000),(40,775),(50,620),(62,500),(100,310),(124,250),(125,248) and (155,200) These are the factor pairs of 31000 .

## Prime Factorisation of 31000

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 31000 using a factor tree, we would start by writing 31000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 31000 would be 2 x 2 x 2 x 5 x 5 x 5 x 31.

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 31000 using this method, we keep dividing until it gives a non-zero remainder.

31000 ÷ 2 = 15500
15500 ÷ 2 = 7750
7750 ÷ 2 = 3875
3875 ÷ 5 = 775
775 ÷ 5 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1

So the prime factors of 31000 are 2 x 2 x 2 x 5 x 5 x 5 x 31.

## Frequently Asked Questions on Factors

### What are all the factors of 31000 ?

The factors of 31000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 31 , 40 , 50 , 62 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 3100 , 3875 , 6200 , 7750 , 15500 and 31000.

### What is the prime factorization of 31000 ?

The prime factorization of 31000 is 2 x 2 x 2 x 5 x 5 x 5 x 31 or 23 x 53 x 311, where 2 , 5 , 31 are the prime numbers .

### What are the prime factors of 31000 ?

The prime factors of 31000 are 2 , 5 , 31 .

### Is 31000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
31000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 31 , 40 , 50 , 62 , 100 , 124 , 125 , 155 , 200 , 248 , 250 , 310 , 500 , 620 , 775 , 1000 , 1240 , 1550 , 3100 , 3875 , 6200 , 7750 , 15500 and 31000.