Prime Factorization of 289

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Prime Factors of

What is the Prime Factorization of 289?

Answer: Prime Factors of 289: 17, 17

or

172

Explanation of number 289 Prime Factorization

Prime Factorization of 289 it is expressing 289 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 289.

Since number 289 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 289, we have to iteratively divide 289 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 289:

The smallest Prime Number which can divide 289 without a remainder is 17. So the first calculation step would look like:

289 ÷ 17 = 17

Now we repeat this action until the result equals 1:

17 ÷ 17 = 1

Now we have all the Prime Factors for number 289. It is: 17, 17

Or you may also write it in exponential form: 172

Prime Factor Tree of 289

We may also express the prime factorization of 289 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 289? (The answer is: 17, 17). Pick the number for factorization (e.g. '289'). 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
2742, 137
27552 × 11
27622 × 3 × 23
277277
2782, 139
27932 × 31
28023 × 5 × 7
281281
2822, 3, 47
283283
28422 × 71
2853, 5, 19
2862, 11, 13
2877, 41
28825 × 32
289172
2902, 5, 29
2913, 97
29222 × 73
293293
2942 × 3 × 72
2955, 59
29623 × 37
29733 × 11
2982, 149
29913, 23
30022 × 3 × 52
3017, 43
3022, 151
3033, 101

FAQ

What is the Prime Factorization of 289?

Prime Factors of 289: 17, 17

How many prime factors does 289 have?

Number 289 has 2 Prime Factors

What is the Prime Factorization of 289 in exponential form?

The Prime Factorization of the number 289 in the exponential form is: 172

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