# What are all the factors, the prime factorization, and factor pairs of 428000?

To find the factors of 428000, divide 428000 by each number starting with 1 and working up to 428000

## 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 428000 ?

To calculate the factors of 428000 , you can use the division method.

1. Begin by dividing 428000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 428000.

3. Continue dividing 428000 by larger numbers until you find an odd number that does not divide evenly into 428000 .

4. The numbers that divide evenly into 428000 are the factors of 428000 .

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

428000 ÷ 1 = 428000
428000 ÷ 2 = 214000
428000 ÷ 4 = 107000
428000 ÷ 5 = 85600
428000 ÷ 8 = 53500
428000 ÷ 10 = 42800
428000 ÷ 16 = 26750
428000 ÷ 20 = 21400
428000 ÷ 25 = 17120
428000 ÷ 32 = 13375
428000 ÷ 40 = 10700
428000 ÷ 50 = 8560
428000 ÷ 80 = 5350
428000 ÷ 100 = 4280
428000 ÷ 107 = 4000
428000 ÷ 125 = 3424
428000 ÷ 160 = 2675
428000 ÷ 200 = 2140
428000 ÷ 214 = 2000
428000 ÷ 250 = 1712
428000 ÷ 400 = 1070
428000 ÷ 428 = 1000
428000 ÷ 500 = 856
428000 ÷ 535 = 800
428000 ÷ 800 = 535
428000 ÷ 856 = 500
428000 ÷ 1000 = 428
428000 ÷ 1070 = 400
428000 ÷ 1712 = 250
428000 ÷ 2000 = 214
428000 ÷ 2140 = 200
428000 ÷ 2675 = 160
428000 ÷ 3424 = 125
428000 ÷ 4000 = 107
428000 ÷ 4280 = 100
428000 ÷ 5350 = 80
428000 ÷ 8560 = 50
428000 ÷ 10700 = 40
428000 ÷ 13375 = 32
428000 ÷ 17120 = 25
428000 ÷ 21400 = 20
428000 ÷ 26750 = 16
428000 ÷ 42800 = 10
428000 ÷ 53500 = 8
428000 ÷ 85600 = 5
428000 ÷ 107000 = 4
428000 ÷ 214000 = 2
428000 ÷ 428000 = 1

As you can see, the factors of 428000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 107 , 125 , 160 , 200 , 214 , 250 , 400 , 428 , 500 , 535 , 800 , 856 , 1000 , 1070 , 1712 , 2000 , 2140 , 2675 , 3424 , 4000 , 4280 , 5350 , 8560 , 10700 , 13375 , 17120 , 21400 , 26750 , 42800 , 53500 , 85600 , 107000 , 214000 and 428000 .

## How many factors of 428000 are there ?

The factors of 428000 are the numbers that can evenly divide 428000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 107 , 125 , 160 , 200 , 214 , 250 , 400 , 428 , 500 , 535 , 800 , 856 , 1000 , 1070 , 1712 , 2000 , 2140 , 2675 , 3424 , 4000 , 4280 , 5350 , 8560 , 10700 , 13375 , 17120 , 21400 , 26750 , 42800 , 53500 , 85600 , 107000 , 214000 and 428000.

Thus, there are a total of 48 factors of 428000

## What are the factor pairs of 428000 ?

Factor Pairs of 428000 are combinations of two factors that when multiplied together equal 428000. There are many ways to calculate the factor pairs of 428000 .

One easy way is to list out the factors of 428000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 107 , 125 , 160 , 200 , 214 , 250 , 400 , 428 , 500 , 535 , 800 , 856 , 1000 , 1070 , 1712 , 2000 , 2140 , 2675 , 3424 , 4000 , 4280 , 5350 , 8560 , 10700 , 13375 , 17120 , 21400 , 26750 , 42800 , 53500 , 85600 , 107000 , 214000 , 428000

Then, pair up the factors:
(1,428000),(2,214000),(4,107000),(5,85600),(8,53500),(10,42800),(16,26750),(20,21400),(25,17120),(32,13375),(40,10700),(50,8560),(80,5350),(100,4280),(107,4000),(125,3424),(160,2675),(200,2140),(214,2000),(250,1712),(400,1070),(428,1000),(500,856) and (535,800) These are the factor pairs of 428000 .

## Prime Factorisation of 428000

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 428000 using a factor tree, we would start by writing 428000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 428000 would be 2 x 2 x 2 x 2 x 2 x 5 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 428000 using this method, we keep dividing until it gives a non-zero remainder.

428000 ÷ 2 = 214000
214000 ÷ 2 = 107000
107000 ÷ 2 = 53500
53500 ÷ 2 = 26750
26750 ÷ 2 = 13375
13375 ÷ 5 = 2675
2675 ÷ 5 = 535
535 ÷ 5 = 107
107 ÷ 107 = 1

So the prime factors of 428000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 107.

## Frequently Asked Questions on Factors

### What are all the factors of 428000 ?

The factors of 428000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 107 , 125 , 160 , 200 , 214 , 250 , 400 , 428 , 500 , 535 , 800 , 856 , 1000 , 1070 , 1712 , 2000 , 2140 , 2675 , 3424 , 4000 , 4280 , 5350 , 8560 , 10700 , 13375 , 17120 , 21400 , 26750 , 42800 , 53500 , 85600 , 107000 , 214000 and 428000.

### What is the prime factorization of 428000 ?

The prime factorization of 428000 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 107 or 25 x 53 x 1071, where 2 , 5 , 107 are the prime numbers .

### What are the prime factors of 428000 ?

The prime factors of 428000 are 2 , 5 , 107 .

### Is 428000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
428000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 107 , 125 , 160 , 200 , 214 , 250 , 400 , 428 , 500 , 535 , 800 , 856 , 1000 , 1070 , 1712 , 2000 , 2140 , 2675 , 3424 , 4000 , 4280 , 5350 , 8560 , 10700 , 13375 , 17120 , 21400 , 26750 , 42800 , 53500 , 85600 , 107000 , 214000 and 428000.