Prime Factorization of 4000

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Prime Factors of

What is the Prime Factorization of 4000?

Answer: Prime Factors of 4000: 2, 2, 2, 2, 2, 5, 5, 5

or

25 × 53

Explanation of number 4000 Prime Factorization

Prime Factorization of 4000 it is expressing 4000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 4000.

Since number 4000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 4000, we have to iteratively divide 4000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 4000:

The smallest Prime Number which can divide 4000 without a remainder is 2. So the first calculation step would look like:

4000 ÷ 2 = 2000

Now we repeat this action until the result equals 1:

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 4000. It is: 2, 2, 2, 2, 2, 5, 5, 5

Or you may also write it in exponential form: 25 × 53

Prime Factor Tree of 4000

We may also express the prime factorization of 4000 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 4000? (The answer is: 2, 2, 2, 2, 2, 5, 5, 5). Pick the number for factorization (e.g. '4000'). 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
39855, 797
39862, 1993
398732 × 443
398822 × 997
39893989
39902, 3, 5, 7, 19
399113, 307
399223 × 499
39933 × 113
39942, 1997
39955, 17, 47
399622 × 33 × 37
39977, 571
39982, 1999
39993, 31, 43
400025 × 53
40014001
40022, 3, 23, 29
40034003
400422 × 7 × 11 × 13
400532 × 5 × 89
40062, 2003
40074007
400823 × 3 × 167
400919, 211
40102, 5, 401
40113, 7, 191
401222 × 17 × 59
40134013
40142 × 32 × 223

FAQ

What is the Prime Factorization of 4000?

Prime Factors of 4000: 2, 2, 2, 2, 2, 5, 5, 5

How many prime factors does 4000 have?

Number 4000 has 8 Prime Factors

What is the Prime Factorization of 4000 in exponential form?

The Prime Factorization of the number 4000 in the exponential form is: 25 × 53

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