Prime Factorization of 18000

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Prime Factors of

What is the Prime Factorization of 18000?

Answer: Prime Factors of 18000: 2, 2, 2, 2, 3, 3, 5, 5, 5

or

24 × 32 × 53

Explanation of number 18000 Prime Factorization

Prime Factorization of 18000 it is expressing 18000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 18000.

Since number 18000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 18000, we have to iteratively divide 18000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 18000:

The smallest Prime Number which can divide 18000 without a remainder is 2. So the first calculation step would look like:

18000 ÷ 2 = 9000

Now we repeat this action until the result equals 1:

9000 ÷ 2 = 4500

4500 ÷ 2 = 2250

2250 ÷ 2 = 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 18000. It is: 2, 2, 2, 2, 3, 3, 5, 5, 5

Or you may also write it in exponential form: 24 × 32 × 53

Prime Factor Tree of 18000

We may also express the prime factorization of 18000 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 18000? (The answer is: 2, 2, 2, 2, 3, 3, 5, 5, 5). Pick the number for factorization (e.g. '18000'). 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
179853, 5, 11, 109
179862 × 17 × 232
1798717987
1798822 × 3 × 1499
1798917989
179902, 5, 7, 257
1799132 × 1999
1799223 × 13 × 173
1799319, 947
179942, 3, 2999
179955, 59, 61
1799622 × 11 × 409
179973, 7, 857
179982, 8999
1799941, 439
1800024 × 32 × 53
1800147, 383
180022, 9001
180033, 17, 353
1800422 × 7 × 643
180055, 13, 277
180062, 3, 3001
1800711, 1637
1800823 × 2251
1800933 × 23 × 29
180102, 5, 1801
180117, 31, 83
1801222 × 3 × 19 × 79
1801318013
180142, 9007

FAQ

What is the Prime Factorization of 18000?

Prime Factors of 18000: 2, 2, 2, 2, 3, 3, 5, 5, 5

How many prime factors does 18000 have?

Number 18000 has 9 Prime Factors

What is the Prime Factorization of 18000 in exponential form?

The Prime Factorization of the number 18000 in the exponential form is: 24 × 32 × 53

See Also