Prime Factorization of 2000

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Prime Factors of

What is the Prime Factorization of 2000?

Answer: Prime Factors of 2000: 2, 2, 2, 2, 5, 5, 5

or

24 × 53

Explanation of number 2000 Prime Factorization

Prime Factorization of 2000 it is expressing 2000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 2000.

Since number 2000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 2000, we have to iteratively divide 2000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 2000:

The smallest Prime Number which can divide 2000 without a remainder is 2. So the first calculation step would look like:

2000 ÷ 2 = 1000

Now we repeat this action until the result equals 1:

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 2000. It is: 2, 2, 2, 2, 5, 5, 5

Or you may also write it in exponential form: 24 × 53

Prime Factor Tree of 2000

We may also express the prime factorization of 2000 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 2000? (The answer is: 2, 2, 2, 2, 5, 5, 5). Pick the number for factorization (e.g. '2000'). 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
19855, 397
19862, 3, 331
19871987
198822 × 7 × 71
198932 × 13 × 17
19902, 5, 199
199111, 181
199223 × 3 × 83
19931993
19942, 997
19953, 5, 7, 19
199622 × 499
19971997
19982 × 33 × 37
19991999
200024 × 53
20013, 23, 29
20022, 7, 11, 13
20032003
200422 × 3 × 167
20055, 401
20062, 17, 59
200732 × 223
200823 × 251
200972 × 41
20102, 3, 5, 67
20112011
201222 × 503
20133, 11, 61
20142, 19, 53

FAQ

What is the Prime Factorization of 2000?

Prime Factors of 2000: 2, 2, 2, 2, 5, 5, 5

How many prime factors does 2000 have?

Number 2000 has 7 Prime Factors

What is the Prime Factorization of 2000 in exponential form?

The Prime Factorization of the number 2000 in the exponential form is: 24 × 53

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