# What are all the factors, the prime factorization, and factor pairs of 137000?

To find the factors of 137000, divide 137000 by each number starting with 1 and working up to 137000

## 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 137000 ?

To calculate the factors of 137000 , you can use the division method.

1. Begin by dividing 137000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 137000.

3. Continue dividing 137000 by larger numbers until you find an odd number that does not divide evenly into 137000 .

4. The numbers that divide evenly into 137000 are the factors of 137000 .

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

137000 ÷ 1 = 137000
137000 ÷ 2 = 68500
137000 ÷ 4 = 34250
137000 ÷ 5 = 27400
137000 ÷ 8 = 17125
137000 ÷ 10 = 13700
137000 ÷ 20 = 6850
137000 ÷ 25 = 5480
137000 ÷ 40 = 3425
137000 ÷ 50 = 2740
137000 ÷ 100 = 1370
137000 ÷ 125 = 1096
137000 ÷ 137 = 1000
137000 ÷ 200 = 685
137000 ÷ 250 = 548
137000 ÷ 274 = 500
137000 ÷ 500 = 274
137000 ÷ 548 = 250
137000 ÷ 685 = 200
137000 ÷ 1000 = 137
137000 ÷ 1096 = 125
137000 ÷ 1370 = 100
137000 ÷ 2740 = 50
137000 ÷ 3425 = 40
137000 ÷ 5480 = 25
137000 ÷ 6850 = 20
137000 ÷ 13700 = 10
137000 ÷ 17125 = 8
137000 ÷ 27400 = 5
137000 ÷ 34250 = 4
137000 ÷ 68500 = 2
137000 ÷ 137000 = 1

As you can see, the factors of 137000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 137 , 200 , 250 , 274 , 500 , 548 , 685 , 1000 , 1096 , 1370 , 2740 , 3425 , 5480 , 6850 , 13700 , 17125 , 27400 , 34250 , 68500 and 137000 .

## How many factors of 137000 are there ?

The factors of 137000 are the numbers that can evenly divide 137000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 137 , 200 , 250 , 274 , 500 , 548 , 685 , 1000 , 1096 , 1370 , 2740 , 3425 , 5480 , 6850 , 13700 , 17125 , 27400 , 34250 , 68500 and 137000.

Thus, there are a total of 32 factors of 137000

## What are the factor pairs of 137000 ?

Factor Pairs of 137000 are combinations of two factors that when multiplied together equal 137000. There are many ways to calculate the factor pairs of 137000 .

One easy way is to list out the factors of 137000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 137 , 200 , 250 , 274 , 500 , 548 , 685 , 1000 , 1096 , 1370 , 2740 , 3425 , 5480 , 6850 , 13700 , 17125 , 27400 , 34250 , 68500 , 137000

Then, pair up the factors:
(1,137000),(2,68500),(4,34250),(5,27400),(8,17125),(10,13700),(20,6850),(25,5480),(40,3425),(50,2740),(100,1370),(125,1096),(137,1000),(200,685),(250,548) and (274,500) These are the factor pairs of 137000 .

## Prime Factorisation of 137000

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 137000 using a factor tree, we would start by writing 137000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 137000 would be 2 x 2 x 2 x 5 x 5 x 5 x 137.

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 137000 using this method, we keep dividing until it gives a non-zero remainder.

137000 ÷ 2 = 68500
68500 ÷ 2 = 34250
34250 ÷ 2 = 17125
17125 ÷ 5 = 3425
3425 ÷ 5 = 685
685 ÷ 5 = 137
137 ÷ 137 = 1

So the prime factors of 137000 are 2 x 2 x 2 x 5 x 5 x 5 x 137.

## Frequently Asked Questions on Factors

### What are all the factors of 137000 ?

The factors of 137000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 137 , 200 , 250 , 274 , 500 , 548 , 685 , 1000 , 1096 , 1370 , 2740 , 3425 , 5480 , 6850 , 13700 , 17125 , 27400 , 34250 , 68500 and 137000.

### What is the prime factorization of 137000 ?

The prime factorization of 137000 is 2 x 2 x 2 x 5 x 5 x 5 x 137 or 23 x 53 x 1371, where 2 , 5 , 137 are the prime numbers .

### What are the prime factors of 137000 ?

The prime factors of 137000 are 2 , 5 , 137 .

### Is 137000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
137000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 137 , 200 , 250 , 274 , 500 , 548 , 685 , 1000 , 1096 , 1370 , 2740 , 3425 , 5480 , 6850 , 13700 , 17125 , 27400 , 34250 , 68500 and 137000.