Question
Find the prime factorization of number 16762.
Answer
The prime factorization of 16762 is:
$$ 16762 = 2\cdot17\cdot17\cdot29 $$Which is the same as :
$$ 16762 = 2\cdot17^{2}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 16762 can be written as 2 × 8381. |
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| 8381 can be written as 17 × 493. |
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| 493 can be written as 17 × 29. |
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| The end nodes are the prime factors of the number 16762. |
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