Prime Factorization of 24000

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Prime Factors of

What is the Prime Factorization of 24000?

Answer: Prime Factors of 24000: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5

or

26 × 3 × 53

Explanation of number 24000 Prime Factorization

Prime Factorization of 24000 it is expressing 24000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 24000.

Since number 24000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 24000, we have to iteratively divide 24000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 24000:

The smallest Prime Number which can divide 24000 without a remainder is 2. So the first calculation step would look like:

24000 ÷ 2 = 12000

Now we repeat this action until the result equals 1:

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

Now we have all the Prime Factors for number 24000. It is: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5

Or you may also write it in exponential form: 26 × 3 × 53

Prime Factor Tree of 24000

We may also express the prime factorization of 24000 as a Factor Tree:

Related Calculations

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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 24000? (The answer is: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5). Pick the number for factorization (e.g. '24000'). 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
2398532 × 5 × 13 × 41
239862, 67, 179
23987172 × 83
2398822 × 3 × 1999
239897, 23, 149
239902, 5, 2399
239913, 11, 727
2399223 × 2999
2399323993
239942 × 32 × 31 × 43
239955, 4799
2399622 × 7 × 857
239973, 19, 421
239982 × 132 × 71
23999103, 233
2400026 × 3 × 53
2400124001
240022, 11, 1091
2400333 × 7 × 127
2400422 × 17 × 353
240055, 4801
240062, 3, 4001
2400724007
2400823 × 3001
240093, 53, 151
240102 × 5 × 74
2401113, 1847
2401222 × 32 × 23 × 29
2401311, 37, 59
240142, 12007

FAQ

What is the Prime Factorization of 24000?

Prime Factors of 24000: 2, 2, 2, 2, 2, 2, 3, 5, 5, 5

How many prime factors does 24000 have?

Number 24000 has 10 Prime Factors

What is the Prime Factorization of 24000 in exponential form?

The Prime Factorization of the number 24000 in the exponential form is: 26 × 3 × 53

See Also