What are all the factors, the prime factorization, and factor pairs of 120000?

To find the factors of 120000, divide 120000 by each number starting with 1 and working up to 120000

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 120000 ?

To calculate the factors of 120000 , you can use the division method.

   1. Begin by dividing 120000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 120000.

   3. Continue dividing 120000 by larger numbers until you find an odd number that does not divide evenly into 120000 .

   4. The numbers that divide evenly into 120000 are the factors of 120000 .

Now let us find how to calculate all the factors of One hundred twenty thousand :

    120000 ÷ 1 = 120000
    120000 ÷ 2 = 60000
    120000 ÷ 3 = 40000
    120000 ÷ 4 = 30000
    120000 ÷ 5 = 24000
    120000 ÷ 6 = 20000
    120000 ÷ 8 = 15000
    120000 ÷ 10 = 12000
    120000 ÷ 12 = 10000
    120000 ÷ 15 = 8000
    120000 ÷ 16 = 7500
    120000 ÷ 20 = 6000
    120000 ÷ 24 = 5000
    120000 ÷ 25 = 4800
    120000 ÷ 30 = 4000
    120000 ÷ 32 = 3750
    120000 ÷ 40 = 3000
    120000 ÷ 48 = 2500
    120000 ÷ 50 = 2400
    120000 ÷ 60 = 2000
    120000 ÷ 64 = 1875
    120000 ÷ 75 = 1600
    120000 ÷ 80 = 1500
    120000 ÷ 96 = 1250
    120000 ÷ 100 = 1200
    120000 ÷ 120 = 1000
    120000 ÷ 125 = 960
    120000 ÷ 150 = 800
    120000 ÷ 160 = 750
    120000 ÷ 192 = 625
    120000 ÷ 200 = 600
    120000 ÷ 240 = 500
    120000 ÷ 250 = 480
    120000 ÷ 300 = 400
    120000 ÷ 320 = 375
    120000 ÷ 375 = 320
    120000 ÷ 400 = 300
    120000 ÷ 480 = 250
    120000 ÷ 500 = 240
    120000 ÷ 600 = 200
    120000 ÷ 625 = 192
    120000 ÷ 750 = 160
    120000 ÷ 800 = 150
    120000 ÷ 960 = 125
    120000 ÷ 1000 = 120
    120000 ÷ 1200 = 100
    120000 ÷ 1250 = 96
    120000 ÷ 1500 = 80
    120000 ÷ 1600 = 75
    120000 ÷ 1875 = 64
    120000 ÷ 2000 = 60
    120000 ÷ 2400 = 50
    120000 ÷ 2500 = 48
    120000 ÷ 3000 = 40
    120000 ÷ 3750 = 32
    120000 ÷ 4000 = 30
    120000 ÷ 4800 = 25
    120000 ÷ 5000 = 24
    120000 ÷ 6000 = 20
    120000 ÷ 7500 = 16
    120000 ÷ 8000 = 15
    120000 ÷ 10000 = 12
    120000 ÷ 12000 = 10
    120000 ÷ 15000 = 8
    120000 ÷ 20000 = 6
    120000 ÷ 24000 = 5
    120000 ÷ 30000 = 4
    120000 ÷ 40000 = 3
    120000 ÷ 60000 = 2
    120000 ÷ 120000 = 1

As you can see, the factors of 120000 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 , 150 , 160 , 192 , 200 , 240 , 250 , 300 , 320 , 375 , 400 , 480 , 500 , 600 , 625 , 750 , 800 , 960 , 1000 , 1200 , 1250 , 1500 , 1600 , 1875 , 2000 , 2400 , 2500 , 3000 , 3750 , 4000 , 4800 , 5000 , 6000 , 7500 , 8000 , 10000 , 12000 , 15000 , 20000 , 24000 , 30000 , 40000 , 60000 and 120000 .

How to Write Numbers in French Similar to 120000?

How many factors of 120000 are there ?

The factors of 120000 are the numbers that can evenly divide 120000 . 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 , 150 , 160 , 192 , 200 , 240 , 250 , 300 , 320 , 375 , 400 , 480 , 500 , 600 , 625 , 750 , 800 , 960 , 1000 , 1200 , 1250 , 1500 , 1600 , 1875 , 2000 , 2400 , 2500 , 3000 , 3750 , 4000 , 4800 , 5000 , 6000 , 7500 , 8000 , 10000 , 12000 , 15000 , 20000 , 24000 , 30000 , 40000 , 60000 and 120000.

Thus, there are a total of 70 factors of 120000

What are the factor pairs of 120000 ?

Factor Pairs of 120000 are combinations of two factors that when multiplied together equal 120000. There are many ways to calculate the factor pairs of 120000 .

One easy way is to list out the factors of 120000 :
   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 , 150 , 160 , 192 , 200 , 240 , 250 , 300 , 320 , 375 , 400 , 480 , 500 , 600 , 625 , 750 , 800 , 960 , 1000 , 1200 , 1250 , 1500 , 1600 , 1875 , 2000 , 2400 , 2500 , 3000 , 3750 , 4000 , 4800 , 5000 , 6000 , 7500 , 8000 , 10000 , 12000 , 15000 , 20000 , 24000 , 30000 , 40000 , 60000 , 120000

Then, pair up the factors:
   (1,120000),(2,60000),(3,40000),(4,30000),(5,24000),(6,20000),(8,15000),(10,12000),(12,10000),(15,8000),(16,7500),(20,6000),(24,5000),(25,4800),(30,4000),(32,3750),(40,3000),(48,2500),(50,2400),(60,2000),(64,1875),(75,1600),(80,1500),(96,1250),(100,1200),(120,1000),(125,960),(150,800),(160,750),(192,625),(200,600),(240,500),(250,480),(300,400) and (320,375) These are the factor pairs of 120000 .

Prime Factorisation of 120000

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 120000 using a factor tree, we would start by writing 120000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 120000 would be 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 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 120000 using this method, we keep dividing until it gives a non-zero remainder.

    120000 ÷ 2 = 60000
    60000 ÷ 2 = 30000
    30000 ÷ 2 = 15000
    15000 ÷ 2 = 7500
    7500 ÷ 2 = 3750
    3750 ÷ 2 = 1875
    1875 ÷ 3 = 625
    625 ÷ 5 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So the prime factors of 120000 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5.

Frequently Asked Questions on Factors

What are all the factors of 120000 ?

The factors of 120000 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 , 150 , 160 , 192 , 200 , 240 , 250 , 300 , 320 , 375 , 400 , 480 , 500 , 600 , 625 , 750 , 800 , 960 , 1000 , 1200 , 1250 , 1500 , 1600 , 1875 , 2000 , 2400 , 2500 , 3000 , 3750 , 4000 , 4800 , 5000 , 6000 , 7500 , 8000 , 10000 , 12000 , 15000 , 20000 , 24000 , 30000 , 40000 , 60000 and 120000.

What is the prime factorization of 120000 ?

The prime factorization of 120000 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 or 26 x 31 x 54, where 2 , 3 , 5 are the prime numbers .

What are the prime factors of 120000 ?

The prime factors of 120000 are 2 , 3 , 5 .

Is 120000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
120000 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 , 150 , 160 , 192 , 200 , 240 , 250 , 300 , 320 , 375 , 400 , 480 , 500 , 600 , 625 , 750 , 800 , 960 , 1000 , 1200 , 1250 , 1500 , 1600 , 1875 , 2000 , 2400 , 2500 , 3000 , 3750 , 4000 , 4800 , 5000 , 6000 , 7500 , 8000 , 10000 , 12000 , 15000 , 20000 , 24000 , 30000 , 40000 , 60000 and 120000.

Other conversions of the number 120000