# What are all the factors, the prime factorization, and factor pairs of 42800?

To find the factors of 42800, divide 42800 by each number starting with 1 and working up to 42800

## 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 42800 ?

To calculate the factors of 42800 , you can use the division method.

1. Begin by dividing 42800 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 42800.

3. Continue dividing 42800 by larger numbers until you find an odd number that does not divide evenly into 42800 .

4. The numbers that divide evenly into 42800 are the factors of 42800 .

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

42800 ÷ 1 = 42800
42800 ÷ 2 = 21400
42800 ÷ 4 = 10700
42800 ÷ 5 = 8560
42800 ÷ 8 = 5350
42800 ÷ 10 = 4280
42800 ÷ 16 = 2675
42800 ÷ 20 = 2140
42800 ÷ 25 = 1712
42800 ÷ 40 = 1070
42800 ÷ 50 = 856
42800 ÷ 80 = 535
42800 ÷ 100 = 428
42800 ÷ 107 = 400
42800 ÷ 200 = 214
42800 ÷ 214 = 200
42800 ÷ 400 = 107
42800 ÷ 428 = 100
42800 ÷ 535 = 80
42800 ÷ 856 = 50
42800 ÷ 1070 = 40
42800 ÷ 1712 = 25
42800 ÷ 2140 = 20
42800 ÷ 2675 = 16
42800 ÷ 4280 = 10
42800 ÷ 5350 = 8
42800 ÷ 8560 = 5
42800 ÷ 10700 = 4
42800 ÷ 21400 = 2
42800 ÷ 42800 = 1

As you can see, the factors of 42800 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 107 , 200 , 214 , 400 , 428 , 535 , 856 , 1070 , 1712 , 2140 , 2675 , 4280 , 5350 , 8560 , 10700 , 21400 and 42800 .

## How many factors of 42800 are there ?

The factors of 42800 are the numbers that can evenly divide 42800 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 107 , 200 , 214 , 400 , 428 , 535 , 856 , 1070 , 1712 , 2140 , 2675 , 4280 , 5350 , 8560 , 10700 , 21400 and 42800.

Thus, there are a total of 30 factors of 42800

## What are the factor pairs of 42800 ?

Factor Pairs of 42800 are combinations of two factors that when multiplied together equal 42800. There are many ways to calculate the factor pairs of 42800 .

One easy way is to list out the factors of 42800 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 107 , 200 , 214 , 400 , 428 , 535 , 856 , 1070 , 1712 , 2140 , 2675 , 4280 , 5350 , 8560 , 10700 , 21400 , 42800

Then, pair up the factors:
(1,42800),(2,21400),(4,10700),(5,8560),(8,5350),(10,4280),(16,2675),(20,2140),(25,1712),(40,1070),(50,856),(80,535),(100,428),(107,400) and (200,214) These are the factor pairs of 42800 .

## Prime Factorisation of 42800

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 42800 using a factor tree, we would start by writing 42800 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 42800 would be 2 x 2 x 2 x 2 x 5 x 5 x 107.

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 42800 using this method, we keep dividing until it gives a non-zero remainder.

42800 ÷ 2 = 21400
21400 ÷ 2 = 10700
10700 ÷ 2 = 5350
5350 ÷ 2 = 2675
2675 ÷ 5 = 535
535 ÷ 5 = 107
107 ÷ 107 = 1

So the prime factors of 42800 are 2 x 2 x 2 x 2 x 5 x 5 x 107.

## Frequently Asked Questions on Factors

### What are all the factors of 42800 ?

The factors of 42800 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 107 , 200 , 214 , 400 , 428 , 535 , 856 , 1070 , 1712 , 2140 , 2675 , 4280 , 5350 , 8560 , 10700 , 21400 and 42800.

### What is the prime factorization of 42800 ?

The prime factorization of 42800 is 2 x 2 x 2 x 2 x 5 x 5 x 107 or 24 x 52 x 1071, where 2 , 5 , 107 are the prime numbers .

### What are the prime factors of 42800 ?

The prime factors of 42800 are 2 , 5 , 107 .

### Is 42800 a prime number ?

A prime number is a number that has only two factors 1 and itself.
42800 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 107 , 200 , 214 , 400 , 428 , 535 , 856 , 1070 , 1712 , 2140 , 2675 , 4280 , 5350 , 8560 , 10700 , 21400 and 42800.