Prime Factorization of 17000

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Prime Factors of

What is the Prime Factorization of 17000?

Answer: Prime Factors of 17000: 2, 2, 2, 5, 5, 5, 17

or

23 × 53 × 17

Explanation of number 17000 Prime Factorization

Prime Factorization of 17000 it is expressing 17000 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 17000.

Since number 17000 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 17000, we have to iteratively divide 17000 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 17000:

The smallest Prime Number which can divide 17000 without a remainder is 2. So the first calculation step would look like:

17000 ÷ 2 = 8500

Now we repeat this action until the result equals 1:

8500 ÷ 2 = 4250

4250 ÷ 2 = 2125

2125 ÷ 5 = 425

425 ÷ 5 = 85

85 ÷ 5 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 17000. It is: 2, 2, 2, 5, 5, 5, 17

Or you may also write it in exponential form: 23 × 53 × 17

Prime Factor Tree of 17000

We may also express the prime factorization of 17000 as a Factor Tree:

Prime factors of 17000 factorization tree of 17000

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Prime Factorization Table

NumberPrime Factors
169855, 43, 79
169862, 3, 19, 149
1698716987
1698822 × 31 × 137
169893, 7, 809
169902, 5, 1699
1699113, 1307
1699225 × 32 × 59
1699316993
169942, 29, 293
169953, 5, 11, 103
1699622 × 7 × 607
1699723, 739
169982, 3, 2833
1699989, 191
1700023 × 53 × 17
1700132 × 1889
170022, 8501
1700372 × 347
1700422 × 3 × 13 × 109
170055, 19, 179
170062, 11, 773
170073, 5669
1700824 × 1063
1700973, 233
170102 × 35 × 5 × 7
1701117011
1701222 × 4253
170133, 53, 107
170142, 47, 181

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 17000? (The answer is: 2, 2, 2, 5, 5, 5, 17). Pick the number for factorization (e.g. '17000'). 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 17000?

Prime Factors of 17000: 2, 2, 2, 5, 5, 5, 17

How many prime factors does 17000 have?

Number 17000 has 7 Prime Factors

What is the Prime Factorization of 17000 in exponential form?

The Prime Factorization of the number 17000 in the exponential form is: 23 × 53 × 17

See Also