Prime Factorization of 10000

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Prime Factors of

What is the Prime Factorization of 10000?

Answer: Prime Factors of 10000: 2, 2, 2, 2, 5, 5, 5, 5

or

24 × 54

Explanation of number 10000 Prime Factorization

Prime Factorization of 10000 it is expressing 10000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 10000.

Since number 10000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 10000, we have to iteratively divide 10000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 10000:

The smallest Prime Number which can divide 10000 without a remainder is 2. So the first calculation step would look like:

10000 ÷ 2 = 5000

Now we repeat this action until the result equals 1:

5000 ÷ 2 = 2500

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 10000. It is: 2, 2, 2, 2, 5, 5, 5, 5

Or you may also write it in exponential form: 24 × 54

Prime Factor Tree of 10000

We may also express the prime factorization of 10000 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 10000? (The answer is: 2, 2, 2, 2, 5, 5, 5, 5). Pick the number for factorization (e.g. '10000'). 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
99855, 1997
99862, 4993
99873, 3329
998822 × 11 × 227
99897, 1427
99902 × 33 × 5 × 37
999197, 103
999223 × 1249
99933, 3331
99942, 19, 263
99955, 1999
999622 × 3 × 72 × 17
999713, 769
99982, 4999
999932 × 11 × 101
1000024 × 54
1000173, 137
100022, 3, 1667
100037, 1429
1000422 × 41 × 61
100053, 5, 23, 29
100062, 5003
1000710007
1000823 × 32 × 139
1000910009
100102, 5, 7, 11, 13
100113, 47, 71
1001222 × 2503
1001317, 19, 31
100142, 3, 1669

FAQ

What is the Prime Factorization of 10000?

Prime Factors of 10000: 2, 2, 2, 2, 5, 5, 5, 5

How many prime factors does 10000 have?

Number 10000 has 8 Prime Factors

What is the Prime Factorization of 10000 in exponential form?

The Prime Factorization of the number 10000 in the exponential form is: 24 × 54

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