# What are all the factors, the prime factorization, and factor pairs of 327000?

To find the factors of 327000, divide 327000 by each number starting with 1 and working up to 327000

## 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 327000 ?

To calculate the factors of 327000 , you can use the division method.

1. Begin by dividing 327000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 327000.

3. Continue dividing 327000 by larger numbers until you find an odd number that does not divide evenly into 327000 .

4. The numbers that divide evenly into 327000 are the factors of 327000 .

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

327000 ÷ 1 = 327000
327000 ÷ 2 = 163500
327000 ÷ 3 = 109000
327000 ÷ 4 = 81750
327000 ÷ 5 = 65400
327000 ÷ 6 = 54500
327000 ÷ 8 = 40875
327000 ÷ 10 = 32700
327000 ÷ 12 = 27250
327000 ÷ 15 = 21800
327000 ÷ 20 = 16350
327000 ÷ 24 = 13625
327000 ÷ 25 = 13080
327000 ÷ 30 = 10900
327000 ÷ 40 = 8175
327000 ÷ 50 = 6540
327000 ÷ 60 = 5450
327000 ÷ 75 = 4360
327000 ÷ 100 = 3270
327000 ÷ 109 = 3000
327000 ÷ 120 = 2725
327000 ÷ 125 = 2616
327000 ÷ 150 = 2180
327000 ÷ 200 = 1635
327000 ÷ 218 = 1500
327000 ÷ 250 = 1308
327000 ÷ 300 = 1090
327000 ÷ 327 = 1000
327000 ÷ 375 = 872
327000 ÷ 436 = 750
327000 ÷ 500 = 654
327000 ÷ 545 = 600
327000 ÷ 600 = 545
327000 ÷ 654 = 500
327000 ÷ 750 = 436
327000 ÷ 872 = 375
327000 ÷ 1000 = 327
327000 ÷ 1090 = 300
327000 ÷ 1308 = 250
327000 ÷ 1500 = 218
327000 ÷ 1635 = 200
327000 ÷ 2180 = 150
327000 ÷ 2616 = 125
327000 ÷ 2725 = 120
327000 ÷ 3000 = 109
327000 ÷ 3270 = 100
327000 ÷ 4360 = 75
327000 ÷ 5450 = 60
327000 ÷ 6540 = 50
327000 ÷ 8175 = 40
327000 ÷ 10900 = 30
327000 ÷ 13080 = 25
327000 ÷ 13625 = 24
327000 ÷ 16350 = 20
327000 ÷ 21800 = 15
327000 ÷ 27250 = 12
327000 ÷ 32700 = 10
327000 ÷ 40875 = 8
327000 ÷ 54500 = 6
327000 ÷ 65400 = 5
327000 ÷ 81750 = 4
327000 ÷ 109000 = 3
327000 ÷ 163500 = 2
327000 ÷ 327000 = 1

As you can see, the factors of 327000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 109 , 120 , 125 , 150 , 200 , 218 , 250 , 300 , 327 , 375 , 436 , 500 , 545 , 600 , 654 , 750 , 872 , 1000 , 1090 , 1308 , 1500 , 1635 , 2180 , 2616 , 2725 , 3000 , 3270 , 4360 , 5450 , 6540 , 8175 , 10900 , 13080 , 13625 , 16350 , 21800 , 27250 , 32700 , 40875 , 54500 , 65400 , 81750 , 109000 , 163500 and 327000 .

## How many factors of 327000 are there ?

The factors of 327000 are the numbers that can evenly divide 327000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 109 , 120 , 125 , 150 , 200 , 218 , 250 , 300 , 327 , 375 , 436 , 500 , 545 , 600 , 654 , 750 , 872 , 1000 , 1090 , 1308 , 1500 , 1635 , 2180 , 2616 , 2725 , 3000 , 3270 , 4360 , 5450 , 6540 , 8175 , 10900 , 13080 , 13625 , 16350 , 21800 , 27250 , 32700 , 40875 , 54500 , 65400 , 81750 , 109000 , 163500 and 327000.

Thus, there are a total of 64 factors of 327000

## What are the factor pairs of 327000 ?

Factor Pairs of 327000 are combinations of two factors that when multiplied together equal 327000. There are many ways to calculate the factor pairs of 327000 .

One easy way is to list out the factors of 327000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 109 , 120 , 125 , 150 , 200 , 218 , 250 , 300 , 327 , 375 , 436 , 500 , 545 , 600 , 654 , 750 , 872 , 1000 , 1090 , 1308 , 1500 , 1635 , 2180 , 2616 , 2725 , 3000 , 3270 , 4360 , 5450 , 6540 , 8175 , 10900 , 13080 , 13625 , 16350 , 21800 , 27250 , 32700 , 40875 , 54500 , 65400 , 81750 , 109000 , 163500 , 327000

Then, pair up the factors:
(1,327000),(2,163500),(3,109000),(4,81750),(5,65400),(6,54500),(8,40875),(10,32700),(12,27250),(15,21800),(20,16350),(24,13625),(25,13080),(30,10900),(40,8175),(50,6540),(60,5450),(75,4360),(100,3270),(109,3000),(120,2725),(125,2616),(150,2180),(200,1635),(218,1500),(250,1308),(300,1090),(327,1000),(375,872),(436,750),(500,654) and (545,600) These are the factor pairs of 327000 .

## Prime Factorisation of 327000

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 327000 using a factor tree, we would start by writing 327000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 327000 would be 2 x 2 x 2 x 3 x 5 x 5 x 5 x 109.

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 327000 using this method, we keep dividing until it gives a non-zero remainder.

327000 ÷ 2 = 163500
163500 ÷ 2 = 81750
81750 ÷ 2 = 40875
40875 ÷ 3 = 13625
13625 ÷ 5 = 2725
2725 ÷ 5 = 545
545 ÷ 5 = 109
109 ÷ 109 = 1

So the prime factors of 327000 are 2 x 2 x 2 x 3 x 5 x 5 x 5 x 109.

## Frequently Asked Questions on Factors

### What are all the factors of 327000 ?

The factors of 327000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 109 , 120 , 125 , 150 , 200 , 218 , 250 , 300 , 327 , 375 , 436 , 500 , 545 , 600 , 654 , 750 , 872 , 1000 , 1090 , 1308 , 1500 , 1635 , 2180 , 2616 , 2725 , 3000 , 3270 , 4360 , 5450 , 6540 , 8175 , 10900 , 13080 , 13625 , 16350 , 21800 , 27250 , 32700 , 40875 , 54500 , 65400 , 81750 , 109000 , 163500 and 327000.

### What is the prime factorization of 327000 ?

The prime factorization of 327000 is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 109 or 23 x 31 x 53 x 1091, where 2 , 3 , 5 , 109 are the prime numbers .

### What are the prime factors of 327000 ?

The prime factors of 327000 are 2 , 3 , 5 , 109 .

### Is 327000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
327000 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 , 109 , 120 , 125 , 150 , 200 , 218 , 250 , 300 , 327 , 375 , 436 , 500 , 545 , 600 , 654 , 750 , 872 , 1000 , 1090 , 1308 , 1500 , 1635 , 2180 , 2616 , 2725 , 3000 , 3270 , 4360 , 5450 , 6540 , 8175 , 10900 , 13080 , 13625 , 16350 , 21800 , 27250 , 32700 , 40875 , 54500 , 65400 , 81750 , 109000 , 163500 and 327000.