Factors of 48000

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How to find factors of a number

1. Steps to find factors of 48000 using Division Method

Find all the numbers which can divide 48000 without leaving any remainder, starting from number 1 upto 24000 (half of 48000). The number 1 and the number (48000) itself are always factors of the given number (48000).
Note down all such number. All of those numbers are factors of 48000.

Example: Find factors of 48000

Divide 48000 by 1: 48000 ÷ 1 : Remainder = 0
Divide 48000 by 2: 48000 ÷ 2 : Remainder = 0
Divide 48000 by 3: 48000 ÷ 3 : Remainder = 0
Divide 48000 by 4: 48000 ÷ 4 : Remainder = 0
Divide 48000 by 5: 48000 ÷ 5 : Remainder = 0
Divide 48000 by 6: 48000 ÷ 6 : Remainder = 0
Divide 48000 by 8: 48000 ÷ 8 : Remainder = 0
Divide 48000 by 10: 48000 ÷ 10 : Remainder = 0
Divide 48000 by 12: 48000 ÷ 12 : Remainder = 0
Divide 48000 by 15: 48000 ÷ 15 : Remainder = 0
Divide 48000 by 16: 48000 ÷ 16 : Remainder = 0
Divide 48000 by 20: 48000 ÷ 20 : Remainder = 0
Divide 48000 by 24: 48000 ÷ 24 : Remainder = 0
Divide 48000 by 25: 48000 ÷ 25 : Remainder = 0
Divide 48000 by 30: 48000 ÷ 30 : Remainder = 0
Divide 48000 by 32: 48000 ÷ 32 : Remainder = 0
Divide 48000 by 40: 48000 ÷ 40 : Remainder = 0
Divide 48000 by 48: 48000 ÷ 48 : Remainder = 0
Divide 48000 by 50: 48000 ÷ 50 : Remainder = 0
Divide 48000 by 60: 48000 ÷ 60 : Remainder = 0
Divide 48000 by 64: 48000 ÷ 64 : Remainder = 0
Divide 48000 by 75: 48000 ÷ 75 : Remainder = 0
Divide 48000 by 80: 48000 ÷ 80 : Remainder = 0
Divide 48000 by 96: 48000 ÷ 96 : Remainder = 0
Divide 48000 by 100: 48000 ÷ 100 : Remainder = 0
Divide 48000 by 120: 48000 ÷ 120 : Remainder = 0
Divide 48000 by 125: 48000 ÷ 125 : Remainder = 0
Divide 48000 by 128: 48000 ÷ 128 : Remainder = 0
Divide 48000 by 150: 48000 ÷ 150 : Remainder = 0
Divide 48000 by 160: 48000 ÷ 160 : Remainder = 0
Divide 48000 by 192: 48000 ÷ 192 : Remainder = 0
Divide 48000 by 200: 48000 ÷ 200 : Remainder = 0
Divide 48000 by 240: 48000 ÷ 240 : Remainder = 0
Divide 48000 by 250: 48000 ÷ 250 : Remainder = 0
Divide 48000 by 300: 48000 ÷ 300 : Remainder = 0
Divide 48000 by 320: 48000 ÷ 320 : Remainder = 0
Divide 48000 by 375: 48000 ÷ 375 : Remainder = 0
Divide 48000 by 384: 48000 ÷ 384 : Remainder = 0
Divide 48000 by 400: 48000 ÷ 400 : Remainder = 0
Divide 48000 by 480: 48000 ÷ 480 : Remainder = 0
Divide 48000 by 500: 48000 ÷ 500 : Remainder = 0
Divide 48000 by 600: 48000 ÷ 600 : Remainder = 0
Divide 48000 by 640: 48000 ÷ 640 : Remainder = 0
Divide 48000 by 750: 48000 ÷ 750 : Remainder = 0
Divide 48000 by 800: 48000 ÷ 800 : Remainder = 0
Divide 48000 by 960: 48000 ÷ 960 : Remainder = 0
Divide 48000 by 1000: 48000 ÷ 1000 : Remainder = 0
Divide 48000 by 1200: 48000 ÷ 1200 : Remainder = 0
Divide 48000 by 1500: 48000 ÷ 1500 : Remainder = 0
Divide 48000 by 1600: 48000 ÷ 1600 : Remainder = 0
Divide 48000 by 1920: 48000 ÷ 1920 : Remainder = 0
Divide 48000 by 2000: 48000 ÷ 2000 : Remainder = 0
Divide 48000 by 2400: 48000 ÷ 2400 : Remainder = 0
Divide 48000 by 3000: 48000 ÷ 3000 : Remainder = 0
Divide 48000 by 3200: 48000 ÷ 3200 : Remainder = 0
Divide 48000 by 4000: 48000 ÷ 4000 : Remainder = 0
Divide 48000 by 4800: 48000 ÷ 4800 : Remainder = 0
Divide 48000 by 6000: 48000 ÷ 6000 : Remainder = 0
Divide 48000 by 8000: 48000 ÷ 8000 : Remainder = 0
Divide 48000 by 9600: 48000 ÷ 9600 : Remainder = 0
Divide 48000 by 12000: 48000 ÷ 12000 : Remainder = 0
Divide 48000 by 16000: 48000 ÷ 16000 : Remainder = 0
Divide 48000 by 24000: 48000 ÷ 24000 : Remainder = 0
Divide 48000 by 48000: 48000 ÷ 48000 : Remainder = 0

Hence, 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

2. Steps to find factors of 48000 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 48000 using the division method, follow these steps:

Step 1. Start dividing 48000 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
Step 2. After finding the smallest prime factor of the number 48000, which is 2. Divide 48000 by 2 to obtain the quotient (24000).
48000 ÷ 2 = 24000
Step 3. Repeat step 1 with the obtained quotient (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 factorization of 48000 is, 48000 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 48000 as shown below:

So, the prime factorization of 48000 is, 48000 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5.

3. Find factors of 48000 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 48000 would be the two numbers which, when multiplied, give 48000 as the result.

The following table represents the calculation of factors of 48000 in pairs:

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

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 48000. They are called negative pair factors.

Hence, the negative pairs of 48000 would be ( -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 ) .

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of factors

Each number is a factor of itself. Eg. 48000 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 48000.
Every number is a factor of zero (0), since 48000 x 0 = 0.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 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 are exact divisors of 48000.
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, 48000. Each factor divides 48000 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 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 are all less than or equal to 48000.

Frequently Asked Questions

What are the prime 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, 48000.
Prime factors of 48000 are 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5.
What two numbers make 48000?
Two numbers that make 48000 are 2 and 24000.
What is the greatest prime factors of 48000?
The greatest prime factor of 48000 is 5.
What are factors of 48000?
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, 48000.
How do you find factors of a negative number? ( eg. -48000 )?
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, -48000.
What are five multiples of 48000?
First five multiples of 48000 are 96000, 144000, 192000, 240000, 288000.
Write some multiples of 48000?
First five multiples of 48000 are 96000, 144000, 192000, 240000.
Is 48000 a perfect square?
No 48000 is not a perfect square.
What two numbers make 48000?
Two numbers that make 48000 are 2 and 24000.

Examples of Factors

What is prime factorization of 48000?

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 = 2⁷ x 3 x 5³.

Sammy is puzzled while calculating the prime factors of 48000. Can you help him find them?

Kevin has been asked to write 63 factor(s) of 48000. Can you predict the answer?

63 factor(s) 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.

Joey wants to write all the prime factors of 48000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 48000 are 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5.
So in exponential form it can be written as 2⁷ x 3 x 5³.

How many factors are there for 48000?

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 48000? Help her in writing all the factors.

Positive factors 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, 48000.
Negative factors 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, -48000.

Can you help Rubel to find out the product of the even factors of 48000?

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, 48000.
Even factors of 48000 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 50, 60, 64, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 250, 300, 320, 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.
Hence, product of even factors of 48000 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 20 x 24 x 30 x 32 x 40 x 48 x 50 x 60 x 64 x 80 x 96 x 100 x 120 x 128 x 150 x 160 x 192 x 200 x 240 x 250 x 300 x 320 x 384 x 400 x 480 x 500 x 600 x 640 x 750 x 800 x 960 x 1000 x 1200 x 1500 x 1600 x 1920 x 2000 x 2400 x 3000 x 3200 x 4000 x 4800 x 6000 x 8000 x 9600 x 12000 x 16000 x 24000 x 48000 = 3.1885594968609563e+139.