Prime Factorization of 9000

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Prime Factors of

What is the Prime Factorization of 9000?

Answer: Prime Factors of 9000: 2, 2, 2, 3, 3, 5, 5, 5

or

23 × 32 × 53

Explanation of number 9000 Prime Factorization

Prime Factorization of 9000 it is expressing 9000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 9000.

Since number 9000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 9000, we have to iteratively divide 9000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 9000:

The smallest Prime Number which can divide 9000 without a remainder is 2. So the first calculation step would look like:

9000 ÷ 2 = 4500

Now we repeat this action until the result equals 1:

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 9000. It is: 2, 2, 2, 3, 3, 5, 5, 5

Or you may also write it in exponential form: 23 × 32 × 53

Prime Factor Tree of 9000

We may also express the prime factorization of 9000 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 9000? (The answer is: 2, 2, 2, 3, 3, 5, 5, 5). Pick the number for factorization (e.g. '9000'). 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
89853, 5, 599
89862, 4493
898711, 19, 43
898822 × 3 × 7 × 107
898989, 101
89902, 5, 29, 31
899135 × 37
899225 × 281
899317 × 232
89942, 3, 1499
89955, 7, 257
899622 × 13 × 173
89973, 2999
89982, 11, 409
89998999
900023 × 32 × 53
90019001
90022, 7, 643
90033, 3001
900422 × 2251
90055, 1801
90062, 3, 19, 79
90079007
900824 × 563
900932 × 7 × 11 × 13
90102, 5, 17, 53
90119011
901222 × 3 × 751
90139013
90142, 4507

FAQ

What is the Prime Factorization of 9000?

Prime Factors of 9000: 2, 2, 2, 3, 3, 5, 5, 5

How many prime factors does 9000 have?

Number 9000 has 8 Prime Factors

What is the Prime Factorization of 9000 in exponential form?

The Prime Factorization of the number 9000 in the exponential form is: 23 × 32 × 53

See Also