# What are all the factors, the prime factorization, and factor pairs of 328000?

To find the factors of 328000, divide 328000 by each number starting with 1 and working up to 328000

## 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 328000 ?

To calculate the factors of 328000 , you can use the division method.

1. Begin by dividing 328000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 328000.

3. Continue dividing 328000 by larger numbers until you find an odd number that does not divide evenly into 328000 .

4. The numbers that divide evenly into 328000 are the factors of 328000 .

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

328000 ÷ 1 = 328000
328000 ÷ 2 = 164000
328000 ÷ 4 = 82000
328000 ÷ 5 = 65600
328000 ÷ 8 = 41000
328000 ÷ 10 = 32800
328000 ÷ 16 = 20500
328000 ÷ 20 = 16400
328000 ÷ 25 = 13120
328000 ÷ 32 = 10250
328000 ÷ 40 = 8200
328000 ÷ 41 = 8000
328000 ÷ 50 = 6560
328000 ÷ 64 = 5125
328000 ÷ 80 = 4100
328000 ÷ 82 = 4000
328000 ÷ 100 = 3280
328000 ÷ 125 = 2624
328000 ÷ 160 = 2050
328000 ÷ 164 = 2000
328000 ÷ 200 = 1640
328000 ÷ 205 = 1600
328000 ÷ 250 = 1312
328000 ÷ 320 = 1025
328000 ÷ 328 = 1000
328000 ÷ 400 = 820
328000 ÷ 410 = 800
328000 ÷ 500 = 656
328000 ÷ 656 = 500
328000 ÷ 800 = 410
328000 ÷ 820 = 400
328000 ÷ 1000 = 328
328000 ÷ 1025 = 320
328000 ÷ 1312 = 250
328000 ÷ 1600 = 205
328000 ÷ 1640 = 200
328000 ÷ 2000 = 164
328000 ÷ 2050 = 160
328000 ÷ 2624 = 125
328000 ÷ 3280 = 100
328000 ÷ 4000 = 82
328000 ÷ 4100 = 80
328000 ÷ 5125 = 64
328000 ÷ 6560 = 50
328000 ÷ 8000 = 41
328000 ÷ 8200 = 40
328000 ÷ 10250 = 32
328000 ÷ 13120 = 25
328000 ÷ 16400 = 20
328000 ÷ 20500 = 16
328000 ÷ 32800 = 10
328000 ÷ 41000 = 8
328000 ÷ 65600 = 5
328000 ÷ 82000 = 4
328000 ÷ 164000 = 2
328000 ÷ 328000 = 1

As you can see, the factors of 328000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 41 , 50 , 64 , 80 , 82 , 100 , 125 , 160 , 164 , 200 , 205 , 250 , 320 , 328 , 400 , 410 , 500 , 656 , 800 , 820 , 1000 , 1025 , 1312 , 1600 , 1640 , 2000 , 2050 , 2624 , 3280 , 4000 , 4100 , 5125 , 6560 , 8000 , 8200 , 10250 , 13120 , 16400 , 20500 , 32800 , 41000 , 65600 , 82000 , 164000 and 328000 .

## How many factors of 328000 are there ?

The factors of 328000 are the numbers that can evenly divide 328000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 41 , 50 , 64 , 80 , 82 , 100 , 125 , 160 , 164 , 200 , 205 , 250 , 320 , 328 , 400 , 410 , 500 , 656 , 800 , 820 , 1000 , 1025 , 1312 , 1600 , 1640 , 2000 , 2050 , 2624 , 3280 , 4000 , 4100 , 5125 , 6560 , 8000 , 8200 , 10250 , 13120 , 16400 , 20500 , 32800 , 41000 , 65600 , 82000 , 164000 and 328000.

Thus, there are a total of 56 factors of 328000

## What are the factor pairs of 328000 ?

Factor Pairs of 328000 are combinations of two factors that when multiplied together equal 328000. There are many ways to calculate the factor pairs of 328000 .

One easy way is to list out the factors of 328000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 41 , 50 , 64 , 80 , 82 , 100 , 125 , 160 , 164 , 200 , 205 , 250 , 320 , 328 , 400 , 410 , 500 , 656 , 800 , 820 , 1000 , 1025 , 1312 , 1600 , 1640 , 2000 , 2050 , 2624 , 3280 , 4000 , 4100 , 5125 , 6560 , 8000 , 8200 , 10250 , 13120 , 16400 , 20500 , 32800 , 41000 , 65600 , 82000 , 164000 , 328000

Then, pair up the factors:
(1,328000),(2,164000),(4,82000),(5,65600),(8,41000),(10,32800),(16,20500),(20,16400),(25,13120),(32,10250),(40,8200),(41,8000),(50,6560),(64,5125),(80,4100),(82,4000),(100,3280),(125,2624),(160,2050),(164,2000),(200,1640),(205,1600),(250,1312),(320,1025),(328,1000),(400,820),(410,800) and (500,656) These are the factor pairs of 328000 .

## Prime Factorisation of 328000

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 328000 using a factor tree, we would start by writing 328000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 328000 would be 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 41.

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 328000 using this method, we keep dividing until it gives a non-zero remainder.

328000 ÷ 2 = 164000
164000 ÷ 2 = 82000
82000 ÷ 2 = 41000
41000 ÷ 2 = 20500
20500 ÷ 2 = 10250
10250 ÷ 2 = 5125
5125 ÷ 5 = 1025
1025 ÷ 5 = 205
205 ÷ 5 = 41
41 ÷ 41 = 1

So the prime factors of 328000 are 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 41.

## Frequently Asked Questions on Factors

### What are all the factors of 328000 ?

The factors of 328000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 41 , 50 , 64 , 80 , 82 , 100 , 125 , 160 , 164 , 200 , 205 , 250 , 320 , 328 , 400 , 410 , 500 , 656 , 800 , 820 , 1000 , 1025 , 1312 , 1600 , 1640 , 2000 , 2050 , 2624 , 3280 , 4000 , 4100 , 5125 , 6560 , 8000 , 8200 , 10250 , 13120 , 16400 , 20500 , 32800 , 41000 , 65600 , 82000 , 164000 and 328000.

### What is the prime factorization of 328000 ?

The prime factorization of 328000 is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 41 or 26 x 53 x 411, where 2 , 5 , 41 are the prime numbers .

### What are the prime factors of 328000 ?

The prime factors of 328000 are 2 , 5 , 41 .

### Is 328000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
328000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 41 , 50 , 64 , 80 , 82 , 100 , 125 , 160 , 164 , 200 , 205 , 250 , 320 , 328 , 400 , 410 , 500 , 656 , 800 , 820 , 1000 , 1025 , 1312 , 1600 , 1640 , 2000 , 2050 , 2624 , 3280 , 4000 , 4100 , 5125 , 6560 , 8000 , 8200 , 10250 , 13120 , 16400 , 20500 , 32800 , 41000 , 65600 , 82000 , 164000 and 328000.