# What are all the factors, the prime factorization, and factor pairs of 96000?

To find the factors of 96000, divide 96000 by each number starting with 1 and working up to 96000

## 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 96000 ?

To calculate the factors of 96000 , you can use the division method.

1. Begin by dividing 96000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 96000.

3. Continue dividing 96000 by larger numbers until you find an odd number that does not divide evenly into 96000 .

4. The numbers that divide evenly into 96000 are the factors of 96000 .

Now let us find how to calculate all the factors of Ninety-six thousand :

96000 ÷ 1 = 96000
96000 ÷ 2 = 48000
96000 ÷ 3 = 32000
96000 ÷ 4 = 24000
96000 ÷ 5 = 19200
96000 ÷ 6 = 16000
96000 ÷ 8 = 12000
96000 ÷ 10 = 9600
96000 ÷ 12 = 8000
96000 ÷ 15 = 6400
96000 ÷ 16 = 6000
96000 ÷ 20 = 4800
96000 ÷ 24 = 4000
96000 ÷ 25 = 3840
96000 ÷ 30 = 3200
96000 ÷ 32 = 3000
96000 ÷ 40 = 2400
96000 ÷ 48 = 2000
96000 ÷ 50 = 1920
96000 ÷ 60 = 1600
96000 ÷ 64 = 1500
96000 ÷ 75 = 1280
96000 ÷ 80 = 1200
96000 ÷ 96 = 1000
96000 ÷ 100 = 960
96000 ÷ 120 = 800
96000 ÷ 125 = 768
96000 ÷ 128 = 750
96000 ÷ 150 = 640
96000 ÷ 160 = 600
96000 ÷ 192 = 500
96000 ÷ 200 = 480
96000 ÷ 240 = 400
96000 ÷ 250 = 384
96000 ÷ 256 = 375
96000 ÷ 300 = 320
96000 ÷ 320 = 300
96000 ÷ 375 = 256
96000 ÷ 384 = 250
96000 ÷ 400 = 240
96000 ÷ 480 = 200
96000 ÷ 500 = 192
96000 ÷ 600 = 160
96000 ÷ 640 = 150
96000 ÷ 750 = 128
96000 ÷ 768 = 125
96000 ÷ 800 = 120
96000 ÷ 960 = 100
96000 ÷ 1000 = 96
96000 ÷ 1200 = 80
96000 ÷ 1280 = 75
96000 ÷ 1500 = 64
96000 ÷ 1600 = 60
96000 ÷ 1920 = 50
96000 ÷ 2000 = 48
96000 ÷ 2400 = 40
96000 ÷ 3000 = 32
96000 ÷ 3200 = 30
96000 ÷ 3840 = 25
96000 ÷ 4000 = 24
96000 ÷ 4800 = 20
96000 ÷ 6000 = 16
96000 ÷ 6400 = 15
96000 ÷ 8000 = 12
96000 ÷ 9600 = 10
96000 ÷ 12000 = 8
96000 ÷ 16000 = 6
96000 ÷ 19200 = 5
96000 ÷ 24000 = 4
96000 ÷ 32000 = 3
96000 ÷ 48000 = 2
96000 ÷ 96000 = 1

As you can see, the factors of 96000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1280 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 3840 , 4000 , 4800 , 6000 , 6400 , 8000 , 9600 , 12000 , 16000 , 19200 , 24000 , 32000 , 48000 and 96000 .

## How many factors of 96000 are there ?

The factors of 96000 are the numbers that can evenly divide 96000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1280 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 3840 , 4000 , 4800 , 6000 , 6400 , 8000 , 9600 , 12000 , 16000 , 19200 , 24000 , 32000 , 48000 and 96000.

Thus, there are a total of 72 factors of 96000

## What are the factor pairs of 96000 ?

Factor Pairs of 96000 are combinations of two factors that when multiplied together equal 96000. There are many ways to calculate the factor pairs of 96000 .

One easy way is to list out the factors of 96000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1280 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 3840 , 4000 , 4800 , 6000 , 6400 , 8000 , 9600 , 12000 , 16000 , 19200 , 24000 , 32000 , 48000 , 96000

Then, pair up the factors:
(1,96000),(2,48000),(3,32000),(4,24000),(5,19200),(6,16000),(8,12000),(10,9600),(12,8000),(15,6400),(16,6000),(20,4800),(24,4000),(25,3840),(30,3200),(32,3000),(40,2400),(48,2000),(50,1920),(60,1600),(64,1500),(75,1280),(80,1200),(96,1000),(100,960),(120,800),(125,768),(128,750),(150,640),(160,600),(192,500),(200,480),(240,400),(250,384),(256,375) and (300,320) These are the factor pairs of 96000 .

## Prime Factorisation of 96000

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 96000 using a factor tree, we would start by writing 96000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 96000 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5.

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 96000 using this method, we keep dividing until it gives a non-zero remainder.

96000 ÷ 2 = 48000
48000 ÷ 2 = 24000
24000 ÷ 2 = 12000
12000 ÷ 2 = 6000
6000 ÷ 2 = 3000
3000 ÷ 2 = 1500
1500 ÷ 2 = 750
750 ÷ 2 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 96000 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 96000 ?

The factors of 96000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1280 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 3840 , 4000 , 4800 , 6000 , 6400 , 8000 , 9600 , 12000 , 16000 , 19200 , 24000 , 32000 , 48000 and 96000.

### What is the prime factorization of 96000 ?

The prime factorization of 96000 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 or 28 x 31 x 53, where 2 , 3 , 5 are the prime numbers .

### What are the prime factors of 96000 ?

The prime factors of 96000 are 2 , 3 , 5 .

### Is 96000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
96000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 125 , 128 , 150 , 160 , 192 , 200 , 240 , 250 , 256 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1280 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 3840 , 4000 , 4800 , 6000 , 6400 , 8000 , 9600 , 12000 , 16000 , 19200 , 24000 , 32000 , 48000 and 96000.