# What are all the factors, the prime factorization, and factor pairs of 342500?

To find the factors of 342500, divide 342500 by each number starting with 1 and working up to 342500

## 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 342500 ?

To calculate the factors of 342500 , you can use the division method.

1. Begin by dividing 342500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 342500.

3. Continue dividing 342500 by larger numbers until you find an odd number that does not divide evenly into 342500 .

4. The numbers that divide evenly into 342500 are the factors of 342500 .

Now let us find how to calculate all the factors of Three hundred forty-two thousand five hundred :

342500 ÷ 1 = 342500
342500 ÷ 2 = 171250
342500 ÷ 4 = 85625
342500 ÷ 5 = 68500
342500 ÷ 10 = 34250
342500 ÷ 20 = 17125
342500 ÷ 25 = 13700
342500 ÷ 50 = 6850
342500 ÷ 100 = 3425
342500 ÷ 125 = 2740
342500 ÷ 137 = 2500
342500 ÷ 250 = 1370
342500 ÷ 274 = 1250
342500 ÷ 500 = 685
342500 ÷ 548 = 625
342500 ÷ 625 = 548
342500 ÷ 685 = 500
342500 ÷ 1250 = 274
342500 ÷ 1370 = 250
342500 ÷ 2500 = 137
342500 ÷ 2740 = 125
342500 ÷ 3425 = 100
342500 ÷ 6850 = 50
342500 ÷ 13700 = 25
342500 ÷ 17125 = 20
342500 ÷ 34250 = 10
342500 ÷ 68500 = 5
342500 ÷ 85625 = 4
342500 ÷ 171250 = 2
342500 ÷ 342500 = 1

As you can see, the factors of 342500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 137 , 250 , 274 , 500 , 548 , 625 , 685 , 1250 , 1370 , 2500 , 2740 , 3425 , 6850 , 13700 , 17125 , 34250 , 68500 , 85625 , 171250 and 342500 .

## How many factors of 342500 are there ?

The factors of 342500 are the numbers that can evenly divide 342500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 137 , 250 , 274 , 500 , 548 , 625 , 685 , 1250 , 1370 , 2500 , 2740 , 3425 , 6850 , 13700 , 17125 , 34250 , 68500 , 85625 , 171250 and 342500.

Thus, there are a total of 30 factors of 342500

## What are the factor pairs of 342500 ?

Factor Pairs of 342500 are combinations of two factors that when multiplied together equal 342500. There are many ways to calculate the factor pairs of 342500 .

One easy way is to list out the factors of 342500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 137 , 250 , 274 , 500 , 548 , 625 , 685 , 1250 , 1370 , 2500 , 2740 , 3425 , 6850 , 13700 , 17125 , 34250 , 68500 , 85625 , 171250 , 342500

Then, pair up the factors:
(1,342500),(2,171250),(4,85625),(5,68500),(10,34250),(20,17125),(25,13700),(50,6850),(100,3425),(125,2740),(137,2500),(250,1370),(274,1250),(500,685) and (548,625) These are the factor pairs of 342500 .

## Prime Factorisation of 342500

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 342500 using a factor tree, we would start by writing 342500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 342500 would be 2 x 2 x 5 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 342500 using this method, we keep dividing until it gives a non-zero remainder.

342500 ÷ 2 = 171250
171250 ÷ 2 = 85625
85625 ÷ 5 = 17125
17125 ÷ 5 = 3425
3425 ÷ 5 = 685
685 ÷ 5 = 137
137 ÷ 137 = 1

So the prime factors of 342500 are 2 x 2 x 5 x 5 x 5 x 5 x 137.

## Frequently Asked Questions on Factors

### What are all the factors of 342500 ?

The factors of 342500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 137 , 250 , 274 , 500 , 548 , 625 , 685 , 1250 , 1370 , 2500 , 2740 , 3425 , 6850 , 13700 , 17125 , 34250 , 68500 , 85625 , 171250 and 342500.

### What is the prime factorization of 342500 ?

The prime factorization of 342500 is 2 x 2 x 5 x 5 x 5 x 5 x 137 or 22 x 54 x 1371, where 2 , 5 , 137 are the prime numbers .

### What are the prime factors of 342500 ?

The prime factors of 342500 are 2 , 5 , 137 .

### Is 342500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
342500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 137 , 250 , 274 , 500 , 548 , 625 , 685 , 1250 , 1370 , 2500 , 2740 , 3425 , 6850 , 13700 , 17125 , 34250 , 68500 , 85625 , 171250 and 342500.