Prime Factorization of 27000

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Prime Factors of

What is the Prime Factorization of 27000?

Answer: Prime Factors of 27000: 2, 2, 2, 3, 3, 3, 5, 5, 5

or

23 × 33 × 53

Explanation of number 27000 Prime Factorization

Prime Factorization of 27000 it is expressing 27000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 27000.

Since number 27000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 27000, we have to iteratively divide 27000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 27000:

The smallest Prime Number which can divide 27000 without a remainder is 2. So the first calculation step would look like:

27000 ÷ 2 = 13500

Now we repeat this action until the result equals 1:

13500 ÷ 2 = 6750

6750 ÷ 2 = 3375

3375 ÷ 3 = 1125

1125 ÷ 3 = 375

375 ÷ 3 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 27000. It is: 2, 2, 2, 3, 3, 3, 5, 5, 5

Or you may also write it in exponential form: 23 × 33 × 53

Prime Factor Tree of 27000

We may also express the prime factorization of 27000 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 27000? (The answer is: 2, 2, 2, 3, 3, 3, 5, 5, 5). Pick the number for factorization (e.g. '27000'). 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
269853, 5, 7, 257
269862, 103, 131
2698726987
2698822 × 3 × 13 × 173
26989137, 197
269902, 5, 2699
2699132 × 2999
2699224 × 7 × 241
2699326993
269942, 3, 11, 409
269955, 5399
2699622 × 17 × 397
269973, 8999
269982, 13499
2699972 × 19 × 29
2700023 × 33 × 53
2700113, 31, 67
270022, 23, 587
270033, 9001
2700422 × 43 × 157
270055, 11, 491
270062, 3, 7, 643
27007113, 239
2700827 × 211
2700932 × 3001
270102, 5, 37, 73
2701127011
2701222 × 3 × 2251
270137, 17, 227
270142, 13, 1039

FAQ

What is the Prime Factorization of 27000?

Prime Factors of 27000: 2, 2, 2, 3, 3, 3, 5, 5, 5

How many prime factors does 27000 have?

Number 27000 has 9 Prime Factors

What is the Prime Factorization of 27000 in exponential form?

The Prime Factorization of the number 27000 in the exponential form is: 23 × 33 × 53

See Also