What Are The Factors Of 960000 - Factor Pairs & Prime Factorization

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 960000 ?

To calculate the factors of 960000 , you can use the division method.

1. Begin by dividing 960000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 960000.

3. Continue dividing 960000 by larger numbers until you find an odd number that does not divide evenly into 960000 .

4. The numbers that divide evenly into 960000 are the factors of 960000 .

Now let us find how to calculate all the factors of Nine hundred sixty thousand :

    960000 ÷ 1 = 960000
    960000 ÷ 2 = 480000
    960000 ÷ 3 = 320000
    960000 ÷ 4 = 240000
    960000 ÷ 5 = 192000
    960000 ÷ 6 = 160000
    960000 ÷ 8 = 120000
    960000 ÷ 10 = 96000
    960000 ÷ 12 = 80000
    960000 ÷ 15 = 64000
    960000 ÷ 16 = 60000
    960000 ÷ 20 = 48000
    960000 ÷ 24 = 40000
    960000 ÷ 25 = 38400
    960000 ÷ 30 = 32000
    960000 ÷ 32 = 30000
    960000 ÷ 40 = 24000
    960000 ÷ 48 = 20000
    960000 ÷ 50 = 19200
    960000 ÷ 60 = 16000
    960000 ÷ 64 = 15000
    960000 ÷ 75 = 12800
    960000 ÷ 80 = 12000
    960000 ÷ 96 = 10000
    960000 ÷ 100 = 9600
    960000 ÷ 120 = 8000
    960000 ÷ 125 = 7680
    960000 ÷ 128 = 7500
    960000 ÷ 150 = 6400
    960000 ÷ 160 = 6000
    960000 ÷ 192 = 5000
    960000 ÷ 200 = 4800
    960000 ÷ 240 = 4000
    960000 ÷ 250 = 3840
    960000 ÷ 256 = 3750
    960000 ÷ 300 = 3200
    960000 ÷ 320 = 3000
    960000 ÷ 375 = 2560
    960000 ÷ 384 = 2500
    960000 ÷ 400 = 2400
    960000 ÷ 480 = 2000
    960000 ÷ 500 = 1920
    960000 ÷ 512 = 1875
    960000 ÷ 600 = 1600
    960000 ÷ 625 = 1536
    960000 ÷ 640 = 1500
    960000 ÷ 750 = 1280
    960000 ÷ 768 = 1250
    960000 ÷ 800 = 1200
    960000 ÷ 960 = 1000
    960000 ÷ 1000 = 960
    960000 ÷ 1200 = 800
    960000 ÷ 1250 = 768
    960000 ÷ 1280 = 750
    960000 ÷ 1500 = 640
    960000 ÷ 1536 = 625
    960000 ÷ 1600 = 600
    960000 ÷ 1875 = 512
    960000 ÷ 1920 = 500
    960000 ÷ 2000 = 480
    960000 ÷ 2400 = 400
    960000 ÷ 2500 = 384
    960000 ÷ 2560 = 375
    960000 ÷ 3000 = 320
    960000 ÷ 3200 = 300
    960000 ÷ 3750 = 256
    960000 ÷ 3840 = 250
    960000 ÷ 4000 = 240
    960000 ÷ 4800 = 200
    960000 ÷ 5000 = 192
    960000 ÷ 6000 = 160
    960000 ÷ 6400 = 150
    960000 ÷ 7500 = 128
    960000 ÷ 7680 = 125
    960000 ÷ 8000 = 120
    960000 ÷ 9600 = 100
    960000 ÷ 10000 = 96
    960000 ÷ 12000 = 80
    960000 ÷ 12800 = 75
    960000 ÷ 15000 = 64
    960000 ÷ 16000 = 60
    960000 ÷ 19200 = 50
    960000 ÷ 20000 = 48
    960000 ÷ 24000 = 40
    960000 ÷ 30000 = 32
    960000 ÷ 32000 = 30
    960000 ÷ 38400 = 25
    960000 ÷ 40000 = 24
    960000 ÷ 48000 = 20
    960000 ÷ 60000 = 16
    960000 ÷ 64000 = 15
    960000 ÷ 80000 = 12
    960000 ÷ 96000 = 10
    960000 ÷ 120000 = 8
    960000 ÷ 160000 = 6
    960000 ÷ 192000 = 5
    960000 ÷ 240000 = 4
    960000 ÷ 320000 = 3
    960000 ÷ 480000 = 2
    960000 ÷ 960000 = 1

As you can see, the factors of 960000 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 , 512 , 600 , 625 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1250 , 1280 , 1500 , 1536 , 1600 , 1875 , 1920 , 2000 , 2400 , 2500 , 2560 , 3000 , 3200 , 3750 , 3840 , 4000 , 4800 , 5000 , 6000 , 6400 , 7500 , 7680 , 8000 , 9600 , 10000 , 12000 , 12800 , 15000 , 16000 , 19200 , 20000 , 24000 , 30000 , 32000 , 38400 , 40000 , 48000 , 60000 , 64000 , 80000 , 96000 , 120000 , 160000 , 192000 , 240000 , 320000 , 480000 and 960000 .

How many factors of 960000 are there ?

The factors of 960000 are the numbers that can evenly divide 960000 . 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 , 512 , 600 , 625 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1250 , 1280 , 1500 , 1536 , 1600 , 1875 , 1920 , 2000 , 2400 , 2500 , 2560 , 3000 , 3200 , 3750 , 3840 , 4000 , 4800 , 5000 , 6000 , 6400 , 7500 , 7680 , 8000 , 9600 , 10000 , 12000 , 12800 , 15000 , 16000 , 19200 , 20000 , 24000 , 30000 , 32000 , 38400 , 40000 , 48000 , 60000 , 64000 , 80000 , 96000 , 120000 , 160000 , 192000 , 240000 , 320000 , 480000 and 960000.

Thus, there are a total of 100 factors of 960000

What are the factor pairs of 960000 ?

Factor Pairs of 960000 are combinations of two factors that when multiplied together equal 960000. There are many ways to calculate the factor pairs of 960000 .

One easy way is to list out the factors of 960000 :
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 , 512 , 600 , 625 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1250 , 1280 , 1500 , 1536 , 1600 , 1875 , 1920 , 2000 , 2400 , 2500 , 2560 , 3000 , 3200 , 3750 , 3840 , 4000 , 4800 , 5000 , 6000 , 6400 , 7500 , 7680 , 8000 , 9600 , 10000 , 12000 , 12800 , 15000 , 16000 , 19200 , 20000 , 24000 , 30000 , 32000 , 38400 , 40000 , 48000 , 60000 , 64000 , 80000 , 96000 , 120000 , 160000 , 192000 , 240000 , 320000 , 480000 , 960000

Then, pair up the factors:
(1,960000),(2,480000),(3,320000),(4,240000),(5,192000),(6,160000),(8,120000),(10,96000),(12,80000),(15,64000),(16,60000),(20,48000),(24,40000),(25,38400),(30,32000),(32,30000),(40,24000),(48,20000),(50,19200),(60,16000),(64,15000),(75,12800),(80,12000),(96,10000),(100,9600),(120,8000),(125,7680),(128,7500),(150,6400),(160,6000),(192,5000),(200,4800),(240,4000),(250,3840),(256,3750),(300,3200),(320,3000),(375,2560),(384,2500),(400,2400),(480,2000),(500,1920),(512,1875),(600,1600),(625,1536),(640,1500),(750,1280),(768,1250),(800,1200) and (960,1000) These are the factor pairs of 960000 .

Prime Factorisation of 960000

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 960000 using a factor tree, we would start by writing 960000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 960000 would be 2 x 2 x 2 x 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 960000 using this method, we keep dividing until it gives a non-zero remainder.

    960000 ÷ 2 = 480000
    480000 ÷ 2 = 240000
    240000 ÷ 2 = 120000
    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 960000 are 2 x 2 x 2 x 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 960000 ?

The factors of 960000 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 , 512 , 600 , 625 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1250 , 1280 , 1500 , 1536 , 1600 , 1875 , 1920 , 2000 , 2400 , 2500 , 2560 , 3000 , 3200 , 3750 , 3840 , 4000 , 4800 , 5000 , 6000 , 6400 , 7500 , 7680 , 8000 , 9600 , 10000 , 12000 , 12800 , 15000 , 16000 , 19200 , 20000 , 24000 , 30000 , 32000 , 38400 , 40000 , 48000 , 60000 , 64000 , 80000 , 96000 , 120000 , 160000 , 192000 , 240000 , 320000 , 480000 and 960000.

What is the prime factorization of 960000 ?

The prime factorization of 960000 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 or 2⁹ x 3¹ x 5⁴, where 2 , 3 , 5 are the prime numbers .

What are the prime factors of 960000 ?

The prime factors of 960000 are 2 , 3 , 5 .

Is 960000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
960000 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 , 512 , 600 , 625 , 640 , 750 , 768 , 800 , 960 , 1000 , 1200 , 1250 , 1280 , 1500 , 1536 , 1600 , 1875 , 1920 , 2000 , 2400 , 2500 , 2560 , 3000 , 3200 , 3750 , 3840 , 4000 , 4800 , 5000 , 6000 , 6400 , 7500 , 7680 , 8000 , 9600 , 10000 , 12000 , 12800 , 15000 , 16000 , 19200 , 20000 , 24000 , 30000 , 32000 , 38400 , 40000 , 48000 , 60000 , 64000 , 80000 , 96000 , 120000 , 160000 , 192000 , 240000 , 320000 , 480000 and 960000.