Prime Factorization of 5000

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Prime Factors of

What is the Prime Factorization of 5000?

Answer: Prime Factors of 5000: 2, 2, 2, 5, 5, 5, 5

or

23 × 54

Explanation of number 5000 Prime Factorization

Prime Factorization of 5000 it is expressing 5000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 5000.

Since number 5000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 5000, we have to iteratively divide 5000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 5000:

The smallest Prime Number which can divide 5000 without a remainder is 2. So the first calculation step would look like:

5000 ÷ 2 = 2500

Now we repeat this action until the result equals 1:

2500 ÷ 2 = 1250

1250 ÷ 2 = 625

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 5000. It is: 2, 2, 2, 5, 5, 5, 5

Or you may also write it in exponential form: 23 × 54

Prime Factor Tree of 5000

We may also express the prime factorization of 5000 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 5000? (The answer is: 2, 2, 2, 5, 5, 5, 5). Pick the number for factorization (e.g. '5000'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

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Prime Factors of

Prime Factorization Table

NumberPrime Factors
49855, 997
49862 × 32 × 277
49874987
498822 × 29 × 43
49893, 1663
49902, 5, 499
49917, 23, 31
499227 × 3 × 13
49934993
49942, 11, 227
499533 × 5 × 37
499622 × 1249
499719, 263
49982 × 3 × 72 × 17
49994999
500023 × 54
50013, 1667
50022, 41, 61
50035003
500422 × 32 × 139
50055, 7, 11, 13
50062, 2503
50073, 1669
500824 × 313
50095009
50102, 3, 5, 167
50115011
501222 × 7 × 179
501332 × 557
50142, 23, 109

FAQ

What is the Prime Factorization of 5000?

Prime Factors of 5000: 2, 2, 2, 5, 5, 5, 5

How many prime factors does 5000 have?

Number 5000 has 7 Prime Factors

What is the Prime Factorization of 5000 in exponential form?

The Prime Factorization of the number 5000 in the exponential form is: 23 × 54

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