# What are all the factors, the prime factorization, and factor pairs of 42500?

To find the factors of 42500, divide 42500 by each number starting with 1 and working up to 42500

## 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 42500 ?

To calculate the factors of 42500 , you can use the division method.

1. Begin by dividing 42500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 42500.

3. Continue dividing 42500 by larger numbers until you find an odd number that does not divide evenly into 42500 .

4. The numbers that divide evenly into 42500 are the factors of 42500 .

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

42500 ÷ 1 = 42500
42500 ÷ 2 = 21250
42500 ÷ 4 = 10625
42500 ÷ 5 = 8500
42500 ÷ 10 = 4250
42500 ÷ 17 = 2500
42500 ÷ 20 = 2125
42500 ÷ 25 = 1700
42500 ÷ 34 = 1250
42500 ÷ 50 = 850
42500 ÷ 68 = 625
42500 ÷ 85 = 500
42500 ÷ 100 = 425
42500 ÷ 125 = 340
42500 ÷ 170 = 250
42500 ÷ 250 = 170
42500 ÷ 340 = 125
42500 ÷ 425 = 100
42500 ÷ 500 = 85
42500 ÷ 625 = 68
42500 ÷ 850 = 50
42500 ÷ 1250 = 34
42500 ÷ 1700 = 25
42500 ÷ 2125 = 20
42500 ÷ 2500 = 17
42500 ÷ 4250 = 10
42500 ÷ 8500 = 5
42500 ÷ 10625 = 4
42500 ÷ 21250 = 2
42500 ÷ 42500 = 1

As you can see, the factors of 42500 are 1 , 2 , 4 , 5 , 10 , 17 , 20 , 25 , 34 , 50 , 68 , 85 , 100 , 125 , 170 , 250 , 340 , 425 , 500 , 625 , 850 , 1250 , 1700 , 2125 , 2500 , 4250 , 8500 , 10625 , 21250 and 42500 .

## How many factors of 42500 are there ?

The factors of 42500 are the numbers that can evenly divide 42500 . These numbers are 1 , 2 , 4 , 5 , 10 , 17 , 20 , 25 , 34 , 50 , 68 , 85 , 100 , 125 , 170 , 250 , 340 , 425 , 500 , 625 , 850 , 1250 , 1700 , 2125 , 2500 , 4250 , 8500 , 10625 , 21250 and 42500.

Thus, there are a total of 30 factors of 42500

## What are the factor pairs of 42500 ?

Factor Pairs of 42500 are combinations of two factors that when multiplied together equal 42500. There are many ways to calculate the factor pairs of 42500 .

One easy way is to list out the factors of 42500 :
1 , 2 , 4 , 5 , 10 , 17 , 20 , 25 , 34 , 50 , 68 , 85 , 100 , 125 , 170 , 250 , 340 , 425 , 500 , 625 , 850 , 1250 , 1700 , 2125 , 2500 , 4250 , 8500 , 10625 , 21250 , 42500

Then, pair up the factors:
(1,42500),(2,21250),(4,10625),(5,8500),(10,4250),(17,2500),(20,2125),(25,1700),(34,1250),(50,850),(68,625),(85,500),(100,425),(125,340) and (170,250) These are the factor pairs of 42500 .

## Prime Factorisation of 42500

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 42500 using a factor tree, we would start by writing 42500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 42500 would be 2 x 2 x 5 x 5 x 5 x 5 x 17.

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 42500 using this method, we keep dividing until it gives a non-zero remainder.

42500 ÷ 2 = 21250
21250 ÷ 2 = 10625
10625 ÷ 5 = 2125
2125 ÷ 5 = 425
425 ÷ 5 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1

So the prime factors of 42500 are 2 x 2 x 5 x 5 x 5 x 5 x 17.

## Frequently Asked Questions on Factors

### What are all the factors of 42500 ?

The factors of 42500 are 1 , 2 , 4 , 5 , 10 , 17 , 20 , 25 , 34 , 50 , 68 , 85 , 100 , 125 , 170 , 250 , 340 , 425 , 500 , 625 , 850 , 1250 , 1700 , 2125 , 2500 , 4250 , 8500 , 10625 , 21250 and 42500.

### What is the prime factorization of 42500 ?

The prime factorization of 42500 is 2 x 2 x 5 x 5 x 5 x 5 x 17 or 22 x 54 x 171, where 2 , 5 , 17 are the prime numbers .

### What are the prime factors of 42500 ?

The prime factors of 42500 are 2 , 5 , 17 .

### Is 42500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
42500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 17 , 20 , 25 , 34 , 50 , 68 , 85 , 100 , 125 , 170 , 250 , 340 , 425 , 500 , 625 , 850 , 1250 , 1700 , 2125 , 2500 , 4250 , 8500 , 10625 , 21250 and 42500.