Prime Factorization of 8000

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Prime Factors of

What is the Prime Factorization of 8000?

Answer: Prime Factors of 8000: 2, 2, 2, 2, 2, 2, 5, 5, 5

or

26 × 53

Explanation of number 8000 Prime Factorization

Prime Factorization of 8000 it is expressing 8000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 8000.

Since number 8000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 8000, we have to iteratively divide 8000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 8000:

The smallest Prime Number which can divide 8000 without a remainder is 2. So the first calculation step would look like:

8000 ÷ 2 = 4000

Now we repeat this action until the result equals 1:

4000 ÷ 2 = 2000

2000 ÷ 2 = 1000

1000 ÷ 2 = 500

500 ÷ 2 = 250

250 ÷ 2 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 8000. It is: 2, 2, 2, 2, 2, 2, 5, 5, 5

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

Prime Factor Tree of 8000

We may also express the prime factorization of 8000 as a Factor Tree:

Prime factors of 8000 factorization tree of 8000

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Prime Factorization Table

NumberPrime Factors
79855, 1597
79862 × 3 × 113
798772 × 163
798822 × 1997
79893, 2663
79902, 5, 17, 47
799161, 131
799223 × 33 × 37
79937993
79942, 7, 571
79953, 5, 13, 41
799622 × 1999
799711, 727
79982, 3, 31, 43
799919, 421
800026 × 53
800132 × 7 × 127
80022, 4001
800353, 151
800422 × 3 × 23 × 29
80055, 1601
80062, 4003
80073, 17, 157
800823 × 7 × 11 × 13
80098009
80102 × 32 × 5 × 89
80118011
801222 × 2003
80133, 2671
80142, 4007

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 8000? (The answer is: 2, 2, 2, 2, 2, 2, 5, 5, 5). Pick the number for factorization (e.g. '8000'). 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

FAQ

What is the Prime Factorization of 8000?

Prime Factors of 8000: 2, 2, 2, 2, 2, 2, 5, 5, 5

How many prime factors does 8000 have?

Number 8000 has 9 Prime Factors

What is the Prime Factorization of 8000 in exponential form?

The Prime Factorization of the number 8000 in the exponential form is: 26 × 53

See Also