Question
Find the prime factorization of number 17689.
Answer
The prime factorization of 17689 is:
$$ 17689 = 7\cdot7\cdot19\cdot19 $$Which is the same as :
$$ 17689 = 7^{2}\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 17689 can be written as 7 × 2527. |
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| 2527 can be written as 7 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 17689. |
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