Prime Factorization of 16000

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Prime Factors of

What is the Prime Factorization of 16000?

Answer: Prime Factors of 16000: 2, 2, 2, 2, 2, 2, 2, 5, 5, 5

or

27 × 53

Explanation of number 16000 Prime Factorization

Prime Factorization of 16000 it is expressing 16000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 16000.

Since number 16000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 16000, we have to iteratively divide 16000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 16000:

The smallest Prime Number which can divide 16000 without a remainder is 2. So the first calculation step would look like:

16000 ÷ 2 = 8000

Now we repeat this action until the result equals 1:

8000 ÷ 2 = 4000

4000 ÷ 2 = 2000

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 16000. It is: 2, 2, 2, 2, 2, 2, 2, 5, 5, 5

Or you may also write it in exponential form: 27 × 53

Prime Factor Tree of 16000

We may also express the prime factorization of 16000 as a Factor Tree:

Prime factors of 16000 factorization tree of 16000

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Prime Factorization Table

NumberPrime Factors
159855, 23, 139
159862, 7993
159873 × 732
1598822 × 7 × 571
1598959, 271
159902, 3, 5, 13, 41
1599115991
1599223 × 1999
1599332 × 1777
159942, 11, 727
159955, 7, 457
1599622 × 3 × 31 × 43
1599717, 941
159982, 19, 421
159993, 5333
1600027 × 53
1600116001
160022 × 32 × 7 × 127
1600313, 1231
1600422 × 4001
160053, 5, 11, 97
160062, 53, 151
1600716007
1600823 × 3 × 23 × 29
160097, 2287
160102, 5, 1601
1601133 × 593
1601222 × 4003
1601367, 239
160142, 3, 17, 157

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 16000? (The answer is: 2, 2, 2, 2, 2, 2, 2, 5, 5, 5). Pick the number for factorization (e.g. '16000'). 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

FAQ

What is the Prime Factorization of 16000?

Prime Factors of 16000: 2, 2, 2, 2, 2, 2, 2, 5, 5, 5

How many prime factors does 16000 have?

Number 16000 has 10 Prime Factors

What is the Prime Factorization of 16000 in exponential form?

The Prime Factorization of the number 16000 in the exponential form is: 27 × 53

See Also