What are all the factors, the prime factorization, and factor pairs of 48000?

To find the factors of 48000, divide 48000 by each number starting with 1 and working up to 48000

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 48000 ?

To calculate the factors of 48000 , you can use the division method.

   1. Begin by dividing 48000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 48000.

   3. Continue dividing 48000 by larger numbers until you find an odd number that does not divide evenly into 48000 .

   4. The numbers that divide evenly into 48000 are the factors of 48000 .

Now let us find how to calculate all the factors of Forty-eight thousand :

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

As you can see, the factors of 48000 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 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 800 , 960 , 1000 , 1200 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 4000 , 4800 , 6000 , 8000 , 9600 , 12000 , 16000 , 24000 and 48000 .

How to Write Numbers in French Similar to 48000?

How many factors of 48000 are there ?

The factors of 48000 are the numbers that can evenly divide 48000 . 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 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 800 , 960 , 1000 , 1200 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 4000 , 4800 , 6000 , 8000 , 9600 , 12000 , 16000 , 24000 and 48000.

Thus, there are a total of 64 factors of 48000

What are the factor pairs of 48000 ?

Factor Pairs of 48000 are combinations of two factors that when multiplied together equal 48000. There are many ways to calculate the factor pairs of 48000 .

One easy way is to list out the factors of 48000 :
   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 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 800 , 960 , 1000 , 1200 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 4000 , 4800 , 6000 , 8000 , 9600 , 12000 , 16000 , 24000 , 48000

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

Prime Factorisation of 48000

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 48000 using a factor tree, we would start by writing 48000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 48000 would be 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 48000 using this method, we keep dividing until it gives a non-zero remainder.

    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 48000 are 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 48000 ?

The factors of 48000 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 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 800 , 960 , 1000 , 1200 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 4000 , 4800 , 6000 , 8000 , 9600 , 12000 , 16000 , 24000 and 48000.

What is the prime factorization of 48000 ?

The prime factorization of 48000 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 or 27 x 31 x 53, where 2 , 3 , 5 are the prime numbers .

What are the prime factors of 48000 ?

The prime factors of 48000 are 2 , 3 , 5 .

Is 48000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
48000 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 , 300 , 320 , 375 , 384 , 400 , 480 , 500 , 600 , 640 , 750 , 800 , 960 , 1000 , 1200 , 1500 , 1600 , 1920 , 2000 , 2400 , 3000 , 3200 , 4000 , 4800 , 6000 , 8000 , 9600 , 12000 , 16000 , 24000 and 48000.

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