# What are all the factors, the prime factorization, and factor pairs of 321000?

To find the factors of 321000, divide 321000 by each number starting with 1 and working up to 321000

## 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 321000 ?

To calculate the factors of 321000 , you can use the division method.

1. Begin by dividing 321000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 321000.

3. Continue dividing 321000 by larger numbers until you find an odd number that does not divide evenly into 321000 .

4. The numbers that divide evenly into 321000 are the factors of 321000 .

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

321000 ÷ 1 = 321000
321000 ÷ 2 = 160500
321000 ÷ 3 = 107000
321000 ÷ 4 = 80250
321000 ÷ 5 = 64200
321000 ÷ 6 = 53500
321000 ÷ 8 = 40125
321000 ÷ 10 = 32100
321000 ÷ 12 = 26750
321000 ÷ 15 = 21400
321000 ÷ 20 = 16050
321000 ÷ 24 = 13375
321000 ÷ 25 = 12840
321000 ÷ 30 = 10700
321000 ÷ 40 = 8025
321000 ÷ 50 = 6420
321000 ÷ 60 = 5350
321000 ÷ 75 = 4280
321000 ÷ 100 = 3210
321000 ÷ 107 = 3000
321000 ÷ 120 = 2675
321000 ÷ 125 = 2568
321000 ÷ 150 = 2140
321000 ÷ 200 = 1605
321000 ÷ 214 = 1500
321000 ÷ 250 = 1284
321000 ÷ 300 = 1070
321000 ÷ 321 = 1000
321000 ÷ 375 = 856
321000 ÷ 428 = 750
321000 ÷ 500 = 642
321000 ÷ 535 = 600
321000 ÷ 600 = 535
321000 ÷ 642 = 500
321000 ÷ 750 = 428
321000 ÷ 856 = 375
321000 ÷ 1000 = 321
321000 ÷ 1070 = 300
321000 ÷ 1284 = 250
321000 ÷ 1500 = 214
321000 ÷ 1605 = 200
321000 ÷ 2140 = 150
321000 ÷ 2568 = 125
321000 ÷ 2675 = 120
321000 ÷ 3000 = 107
321000 ÷ 3210 = 100
321000 ÷ 4280 = 75
321000 ÷ 5350 = 60
321000 ÷ 6420 = 50
321000 ÷ 8025 = 40
321000 ÷ 10700 = 30
321000 ÷ 12840 = 25
321000 ÷ 13375 = 24
321000 ÷ 16050 = 20
321000 ÷ 21400 = 15
321000 ÷ 26750 = 12
321000 ÷ 32100 = 10
321000 ÷ 40125 = 8
321000 ÷ 53500 = 6
321000 ÷ 64200 = 5
321000 ÷ 80250 = 4
321000 ÷ 107000 = 3
321000 ÷ 160500 = 2
321000 ÷ 321000 = 1

As you can see, the factors of 321000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 107 , 120 , 125 , 150 , 200 , 214 , 250 , 300 , 321 , 375 , 428 , 500 , 535 , 600 , 642 , 750 , 856 , 1000 , 1070 , 1284 , 1500 , 1605 , 2140 , 2568 , 2675 , 3000 , 3210 , 4280 , 5350 , 6420 , 8025 , 10700 , 12840 , 13375 , 16050 , 21400 , 26750 , 32100 , 40125 , 53500 , 64200 , 80250 , 107000 , 160500 and 321000 .

## How many factors of 321000 are there ?

The factors of 321000 are the numbers that can evenly divide 321000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 107 , 120 , 125 , 150 , 200 , 214 , 250 , 300 , 321 , 375 , 428 , 500 , 535 , 600 , 642 , 750 , 856 , 1000 , 1070 , 1284 , 1500 , 1605 , 2140 , 2568 , 2675 , 3000 , 3210 , 4280 , 5350 , 6420 , 8025 , 10700 , 12840 , 13375 , 16050 , 21400 , 26750 , 32100 , 40125 , 53500 , 64200 , 80250 , 107000 , 160500 and 321000.

Thus, there are a total of 64 factors of 321000

## What are the factor pairs of 321000 ?

Factor Pairs of 321000 are combinations of two factors that when multiplied together equal 321000. There are many ways to calculate the factor pairs of 321000 .

One easy way is to list out the factors of 321000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 107 , 120 , 125 , 150 , 200 , 214 , 250 , 300 , 321 , 375 , 428 , 500 , 535 , 600 , 642 , 750 , 856 , 1000 , 1070 , 1284 , 1500 , 1605 , 2140 , 2568 , 2675 , 3000 , 3210 , 4280 , 5350 , 6420 , 8025 , 10700 , 12840 , 13375 , 16050 , 21400 , 26750 , 32100 , 40125 , 53500 , 64200 , 80250 , 107000 , 160500 , 321000

Then, pair up the factors:
(1,321000),(2,160500),(3,107000),(4,80250),(5,64200),(6,53500),(8,40125),(10,32100),(12,26750),(15,21400),(20,16050),(24,13375),(25,12840),(30,10700),(40,8025),(50,6420),(60,5350),(75,4280),(100,3210),(107,3000),(120,2675),(125,2568),(150,2140),(200,1605),(214,1500),(250,1284),(300,1070),(321,1000),(375,856),(428,750),(500,642) and (535,600) These are the factor pairs of 321000 .

## Prime Factorisation of 321000

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 321000 using a factor tree, we would start by writing 321000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 321000 would be 2 x 2 x 2 x 3 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 321000 using this method, we keep dividing until it gives a non-zero remainder.

321000 ÷ 2 = 160500
160500 ÷ 2 = 80250
80250 ÷ 2 = 40125
40125 ÷ 3 = 13375
13375 ÷ 5 = 2675
2675 ÷ 5 = 535
535 ÷ 5 = 107
107 ÷ 107 = 1

So the prime factors of 321000 are 2 x 2 x 2 x 3 x 5 x 5 x 5 x 107.

## Frequently Asked Questions on Factors

### What are all the factors of 321000 ?

The factors of 321000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 107 , 120 , 125 , 150 , 200 , 214 , 250 , 300 , 321 , 375 , 428 , 500 , 535 , 600 , 642 , 750 , 856 , 1000 , 1070 , 1284 , 1500 , 1605 , 2140 , 2568 , 2675 , 3000 , 3210 , 4280 , 5350 , 6420 , 8025 , 10700 , 12840 , 13375 , 16050 , 21400 , 26750 , 32100 , 40125 , 53500 , 64200 , 80250 , 107000 , 160500 and 321000.

### What is the prime factorization of 321000 ?

The prime factorization of 321000 is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 107 or 23 x 31 x 53 x 1071, where 2 , 3 , 5 , 107 are the prime numbers .

### What are the prime factors of 321000 ?

The prime factors of 321000 are 2 , 3 , 5 , 107 .

### Is 321000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
321000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 107 , 120 , 125 , 150 , 200 , 214 , 250 , 300 , 321 , 375 , 428 , 500 , 535 , 600 , 642 , 750 , 856 , 1000 , 1070 , 1284 , 1500 , 1605 , 2140 , 2568 , 2675 , 3000 , 3210 , 4280 , 5350 , 6420 , 8025 , 10700 , 12840 , 13375 , 16050 , 21400 , 26750 , 32100 , 40125 , 53500 , 64200 , 80250 , 107000 , 160500 and 321000.