# What are all the factors, the prime factorization, and factor pairs of 131000?

To find the factors of 131000, divide 131000 by each number starting with 1 and working up to 131000

## 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 131000 ?

To calculate the factors of 131000 , you can use the division method.

1. Begin by dividing 131000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 131000.

3. Continue dividing 131000 by larger numbers until you find an odd number that does not divide evenly into 131000 .

4. The numbers that divide evenly into 131000 are the factors of 131000 .

Now let us find how to calculate all the factors of One hundred thirty-one thousand :

131000 ÷ 1 = 131000
131000 ÷ 2 = 65500
131000 ÷ 4 = 32750
131000 ÷ 5 = 26200
131000 ÷ 8 = 16375
131000 ÷ 10 = 13100
131000 ÷ 20 = 6550
131000 ÷ 25 = 5240
131000 ÷ 40 = 3275
131000 ÷ 50 = 2620
131000 ÷ 100 = 1310
131000 ÷ 125 = 1048
131000 ÷ 131 = 1000
131000 ÷ 200 = 655
131000 ÷ 250 = 524
131000 ÷ 262 = 500
131000 ÷ 500 = 262
131000 ÷ 524 = 250
131000 ÷ 655 = 200
131000 ÷ 1000 = 131
131000 ÷ 1048 = 125
131000 ÷ 1310 = 100
131000 ÷ 2620 = 50
131000 ÷ 3275 = 40
131000 ÷ 5240 = 25
131000 ÷ 6550 = 20
131000 ÷ 13100 = 10
131000 ÷ 16375 = 8
131000 ÷ 26200 = 5
131000 ÷ 32750 = 4
131000 ÷ 65500 = 2
131000 ÷ 131000 = 1

As you can see, the factors of 131000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 131 , 200 , 250 , 262 , 500 , 524 , 655 , 1000 , 1048 , 1310 , 2620 , 3275 , 5240 , 6550 , 13100 , 16375 , 26200 , 32750 , 65500 and 131000 .

## How many factors of 131000 are there ?

The factors of 131000 are the numbers that can evenly divide 131000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 131 , 200 , 250 , 262 , 500 , 524 , 655 , 1000 , 1048 , 1310 , 2620 , 3275 , 5240 , 6550 , 13100 , 16375 , 26200 , 32750 , 65500 and 131000.

Thus, there are a total of 32 factors of 131000

## What are the factor pairs of 131000 ?

Factor Pairs of 131000 are combinations of two factors that when multiplied together equal 131000. There are many ways to calculate the factor pairs of 131000 .

One easy way is to list out the factors of 131000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 131 , 200 , 250 , 262 , 500 , 524 , 655 , 1000 , 1048 , 1310 , 2620 , 3275 , 5240 , 6550 , 13100 , 16375 , 26200 , 32750 , 65500 , 131000

Then, pair up the factors:
(1,131000),(2,65500),(4,32750),(5,26200),(8,16375),(10,13100),(20,6550),(25,5240),(40,3275),(50,2620),(100,1310),(125,1048),(131,1000),(200,655),(250,524) and (262,500) These are the factor pairs of 131000 .

## Prime Factorisation of 131000

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 131000 using a factor tree, we would start by writing 131000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 131000 would be 2 x 2 x 2 x 5 x 5 x 5 x 131.

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 131000 using this method, we keep dividing until it gives a non-zero remainder.

131000 ÷ 2 = 65500
65500 ÷ 2 = 32750
32750 ÷ 2 = 16375
16375 ÷ 5 = 3275
3275 ÷ 5 = 655
655 ÷ 5 = 131
131 ÷ 131 = 1

So the prime factors of 131000 are 2 x 2 x 2 x 5 x 5 x 5 x 131.

## Frequently Asked Questions on Factors

### What are all the factors of 131000 ?

The factors of 131000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 131 , 200 , 250 , 262 , 500 , 524 , 655 , 1000 , 1048 , 1310 , 2620 , 3275 , 5240 , 6550 , 13100 , 16375 , 26200 , 32750 , 65500 and 131000.

### What is the prime factorization of 131000 ?

The prime factorization of 131000 is 2 x 2 x 2 x 5 x 5 x 5 x 131 or 23 x 53 x 1311, where 2 , 5 , 131 are the prime numbers .

### What are the prime factors of 131000 ?

The prime factors of 131000 are 2 , 5 , 131 .

### Is 131000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
131000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 131 , 200 , 250 , 262 , 500 , 524 , 655 , 1000 , 1048 , 1310 , 2620 , 3275 , 5240 , 6550 , 13100 , 16375 , 26200 , 32750 , 65500 and 131000.