Factors of 12000

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How to find factors of a number

1. Steps to find factors of 12000 using Division Method

Find all the numbers which can divide 12000 without leaving any remainder, starting from number 1 upto 6000 (half of 12000). The number 1 and the number (12000) itself are always factors of the given number (12000).
Note down all such number. All of those numbers are factors of 12000.

Example: Find factors of 12000

Divide 12000 by 1: 12000 ÷ 1 : Remainder = 0
Divide 12000 by 2: 12000 ÷ 2 : Remainder = 0
Divide 12000 by 3: 12000 ÷ 3 : Remainder = 0
Divide 12000 by 4: 12000 ÷ 4 : Remainder = 0
Divide 12000 by 5: 12000 ÷ 5 : Remainder = 0
Divide 12000 by 6: 12000 ÷ 6 : Remainder = 0
Divide 12000 by 8: 12000 ÷ 8 : Remainder = 0
Divide 12000 by 10: 12000 ÷ 10 : Remainder = 0
Divide 12000 by 12: 12000 ÷ 12 : Remainder = 0
Divide 12000 by 15: 12000 ÷ 15 : Remainder = 0
Divide 12000 by 16: 12000 ÷ 16 : Remainder = 0
Divide 12000 by 20: 12000 ÷ 20 : Remainder = 0
Divide 12000 by 24: 12000 ÷ 24 : Remainder = 0
Divide 12000 by 25: 12000 ÷ 25 : Remainder = 0
Divide 12000 by 30: 12000 ÷ 30 : Remainder = 0
Divide 12000 by 32: 12000 ÷ 32 : Remainder = 0
Divide 12000 by 40: 12000 ÷ 40 : Remainder = 0
Divide 12000 by 48: 12000 ÷ 48 : Remainder = 0
Divide 12000 by 50: 12000 ÷ 50 : Remainder = 0
Divide 12000 by 60: 12000 ÷ 60 : Remainder = 0
Divide 12000 by 75: 12000 ÷ 75 : Remainder = 0
Divide 12000 by 80: 12000 ÷ 80 : Remainder = 0
Divide 12000 by 96: 12000 ÷ 96 : Remainder = 0
Divide 12000 by 100: 12000 ÷ 100 : Remainder = 0
Divide 12000 by 120: 12000 ÷ 120 : Remainder = 0
Divide 12000 by 125: 12000 ÷ 125 : Remainder = 0
Divide 12000 by 150: 12000 ÷ 150 : Remainder = 0
Divide 12000 by 160: 12000 ÷ 160 : Remainder = 0
Divide 12000 by 200: 12000 ÷ 200 : Remainder = 0
Divide 12000 by 240: 12000 ÷ 240 : Remainder = 0
Divide 12000 by 250: 12000 ÷ 250 : Remainder = 0
Divide 12000 by 300: 12000 ÷ 300 : Remainder = 0
Divide 12000 by 375: 12000 ÷ 375 : Remainder = 0
Divide 12000 by 400: 12000 ÷ 400 : Remainder = 0
Divide 12000 by 480: 12000 ÷ 480 : Remainder = 0
Divide 12000 by 500: 12000 ÷ 500 : Remainder = 0
Divide 12000 by 600: 12000 ÷ 600 : Remainder = 0
Divide 12000 by 750: 12000 ÷ 750 : Remainder = 0
Divide 12000 by 800: 12000 ÷ 800 : Remainder = 0
Divide 12000 by 1000: 12000 ÷ 1000 : Remainder = 0
Divide 12000 by 1200: 12000 ÷ 1200 : Remainder = 0
Divide 12000 by 1500: 12000 ÷ 1500 : Remainder = 0
Divide 12000 by 2000: 12000 ÷ 2000 : Remainder = 0
Divide 12000 by 2400: 12000 ÷ 2400 : Remainder = 0
Divide 12000 by 3000: 12000 ÷ 3000 : Remainder = 0
Divide 12000 by 4000: 12000 ÷ 4000 : Remainder = 0
Divide 12000 by 6000: 12000 ÷ 6000 : Remainder = 0
Divide 12000 by 12000: 12000 ÷ 12000 : Remainder = 0

Hence, Factors of 12000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, and 12000

2. Steps to find factors of 12000 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 12000 using the division method, follow these steps:

Step 1. Start dividing 12000 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 12000, which is 2. Divide 12000 by 2 to obtain the quotient (6000).
12000 ÷ 2 = 6000
Step 3. Repeat step 1 with the obtained quotient (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 12000 is, 12000 = 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 12000 as shown below:

So, the prime factorization of 12000 is, 12000 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5.

3. Find factors of 12000 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 12000 would be the two numbers which, when multiplied, give 12000 as the result.

The following table represents the calculation of factors of 12000 in pairs:

Factor Pair	Pair Factorization
1 and 12000	1 x 12000 = 12000
2 and 6000	2 x 6000 = 12000
3 and 4000	3 x 4000 = 12000
4 and 3000	4 x 3000 = 12000
5 and 2400	5 x 2400 = 12000
6 and 2000	6 x 2000 = 12000
8 and 1500	8 x 1500 = 12000
10 and 1200	10 x 1200 = 12000
12 and 1000	12 x 1000 = 12000
15 and 800	15 x 800 = 12000
16 and 750	16 x 750 = 12000
20 and 600	20 x 600 = 12000
24 and 500	24 x 500 = 12000
25 and 480	25 x 480 = 12000
30 and 400	30 x 400 = 12000
32 and 375	32 x 375 = 12000
40 and 300	40 x 300 = 12000
48 and 250	48 x 250 = 12000
50 and 240	50 x 240 = 12000
60 and 200	60 x 200 = 12000
75 and 160	75 x 160 = 12000
80 and 150	80 x 150 = 12000
96 and 125	96 x 125 = 12000
100 and 120	100 x 120 = 12000

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 12000. They are called negative pair factors.

Hence, the negative pairs of 12000 would be ( -1 , -12000 ) , ( -2 , -6000 ) , ( -3 , -4000 ) , ( -4 , -3000 ) , ( -5 , -2400 ) , ( -6 , -2000 ) , ( -8 , -1500 ) , ( -10 , -1200 ) , ( -12 , -1000 ) , ( -15 , -800 ) , ( -16 , -750 ) , ( -20 , -600 ) , ( -24 , -500 ) , ( -25 , -480 ) , ( -30 , -400 ) , ( -32 , -375 ) , ( -40 , -300 ) , ( -48 , -250 ) , ( -50 , -240 ) , ( -60 , -200 ) , ( -75 , -160 ) , ( -80 , -150 ) , ( -96 , -125 ) and ( -100 , -120 ) .

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. 12000 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 12000.
Every number is a factor of zero (0), since 12000 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, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, 12000 are exact divisors of 12000.
Factors of 12000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, 12000. Each factor divides 12000 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, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, 12000 are all less than or equal to 12000.

Frequently Asked Questions

What are the prime factors of 12000?
The factors of 12000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, 12000.
Prime factors of 12000 are 2, 2, 2, 2, 2, 3, 5, 5, 5.
What two numbers make 12000?
Two numbers that make 12000 are 2 and 6000.
What is the greatest prime factors of 12000?
The greatest prime factor of 12000 is 5.
What are factors of 12000?
Factors of 12000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, 12000.
How do you find factors of a negative number? ( eg. -12000 )?
Factors of -12000 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -75, -80, -96, -100, -120, -125, -150, -160, -200, -240, -250, -300, -375, -400, -480, -500, -600, -750, -800, -1000, -1200, -1500, -2000, -2400, -3000, -4000, -6000, -12000.
What are five multiples of 12000?
First five multiples of 12000 are 24000, 36000, 48000, 60000, 72000.
Write some multiples of 12000?
First five multiples of 12000 are 24000, 36000, 48000, 60000.
Is 12000 a perfect square?
No 12000 is not a perfect square.
What two numbers make 12000?
Two numbers that make 12000 are 2 and 6000.

Examples of Factors

What is prime factorization of 12000?

Prime factorization of 12000 is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 = 2⁵ x 3 x 5³.

Sammy is puzzled while calculating the prime factors of 12000. Can you help him find them?

Kevin has been asked to write 47 factor(s) of 12000. Can you predict the answer?

47 factor(s) of 12000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000.

Joey wants to write all the prime factors of 12000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 12000 are 2, 2, 2, 2, 2, 3, 5, 5, 5.
So in exponential form it can be written as 2⁵ x 3 x 5³.

How many factors are there for 12000?

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 12000? 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, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, 12000.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -75, -80, -96, -100, -120, -125, -150, -160, -200, -240, -250, -300, -375, -400, -480, -500, -600, -750, -800, -1000, -1200, -1500, -2000, -2400, -3000, -4000, -6000, -12000.

Can you help Rubel to find out the product of the even factors of 12000?

Factors of 12000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 125, 150, 160, 200, 240, 250, 300, 375, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, 12000.
Even factors of 12000 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 50, 60, 80, 96, 100, 120, 150, 160, 200, 240, 250, 300, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 2000, 2400, 3000, 4000, 6000, 12000.
Hence, product of even factors of 12000 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 80 x 96 x 100 x 120 x 150 x 160 x 200 x 240 x 250 x 300 x 400 x 480 x 500 x 600 x 750 x 800 x 1000 x 1200 x 1500 x 2000 x 2400 x 3000 x 4000 x 6000 x 12000 = 4.019988717840603e+87.