Prime Factorization of 12000

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Prime Factors of

What is the Prime Factorization of 12000?

Answer: Prime Factors of 12000: 2, 2, 2, 2, 2, 3, 5, 5, 5

or

25 × 3 × 53

Explanation of number 12000 Prime Factorization

Prime Factorization of 12000 it is expressing 12000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 12000.

Since number 12000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 12000, we have to iteratively divide 12000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 12000:

The smallest Prime Number which can divide 12000 without a remainder is 2. So the first calculation step would look like:

12000 ÷ 2 = 6000

Now we repeat this action until the result equals 1:

6000 ÷ 2 = 3000

3000 ÷ 2 = 1500

1500 ÷ 2 = 750

750 ÷ 2 = 375

375 ÷ 3 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 12000. It is: 2, 2, 2, 2, 2, 3, 5, 5, 5

Or you may also write it in exponential form: 25 × 3 × 53

Prime Factor Tree of 12000

We may also express the prime factorization of 12000 as a Factor Tree:

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About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 12000? (The answer is: 2, 2, 2, 2, 2, 3, 5, 5, 5). Pick the number for factorization (e.g. '12000'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
119853, 5, 17, 47
119862, 13, 461
1198711987
1198822 × 34 × 37
1198919, 631
119902, 5, 11, 109
119913, 7, 571
1199223 × 1499
1199367, 179
119942, 3, 1999
119955, 2399
1199622 × 2999
1199732 × 31 × 43
119982, 7, 857
11999132 × 71
1200025 × 3 × 53
1200111, 1091
120022, 17, 353
120033, 4001
1200422 × 3001
120055 × 74
120062 × 32 × 23 × 29
1200712007
1200823 × 19 × 79
120093, 4003
120102, 5, 1201
1201112011
1201222 × 3 × 7 × 11 × 13
1201341, 293
120142, 6007

FAQ

What is the Prime Factorization of 12000?

Prime Factors of 12000: 2, 2, 2, 2, 2, 3, 5, 5, 5

How many prime factors does 12000 have?

Number 12000 has 9 Prime Factors

What is the Prime Factorization of 12000 in exponential form?

The Prime Factorization of the number 12000 in the exponential form is: 25 × 3 × 53

See Also