Prime Factorization of 25000

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Prime Factors of

What is the Prime Factorization of 25000?

Answer: Prime Factors of 25000: 2, 2, 2, 5, 5, 5, 5, 5

or

23 × 55

Explanation of number 25000 Prime Factorization

Prime Factorization of 25000 it is expressing 25000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 25000.

Since number 25000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 25000, we have to iteratively divide 25000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 25000:

The smallest Prime Number which can divide 25000 without a remainder is 2. So the first calculation step would look like:

25000 ÷ 2 = 12500

Now we repeat this action until the result equals 1:

12500 ÷ 2 = 6250

6250 ÷ 2 = 3125

3125 ÷ 5 = 625

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 25000. It is: 2, 2, 2, 5, 5, 5, 5, 5

Or you may also write it in exponential form: 23 × 55

Prime Factor Tree of 25000

We may also express the prime factorization of 25000 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 25000? (The answer is: 2, 2, 2, 5, 5, 5, 5, 5). Pick the number for factorization (e.g. '25000'). 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
249855, 19, 263
249862 × 13 × 312
249873, 8329
2498822 × 6247
2498924989
249902 × 3 × 5 × 72 × 17
2499167, 373
2499225 × 11 × 71
2499332 × 2777
249942, 12497
249955, 4999
2499622 × 3 × 2083
249977, 3571
249982, 29, 431
249993, 13, 641
2500023 × 55
2500123, 1087
250022 × 33 × 463
2500311, 2273
2500422 × 7 × 19 × 47
250053, 5, 1667
250062, 12503
2500717, 1471
2500824 × 3 × 521
2500989, 281
250102, 5, 41, 61
2501132 × 7 × 397
2501222 × 132 × 37
2501325013
250142, 3, 11, 379

FAQ

What is the Prime Factorization of 25000?

Prime Factors of 25000: 2, 2, 2, 5, 5, 5, 5, 5

How many prime factors does 25000 have?

Number 25000 has 8 Prime Factors

What is the Prime Factorization of 25000 in exponential form?

The Prime Factorization of the number 25000 in the exponential form is: 23 × 55

See Also