Question
Find the prime factorization of number 10404.
Answer
The prime factorization of 10404 is:
$$ 10404 = 2\cdot2\cdot3\cdot3\cdot17\cdot17 $$Which is the same as :
$$ 10404 = 2^{2}\cdot3^{2}\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 10404 can be written as 2 × 5202. |
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| 5202 can be written as 2 × 2601. |
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| 2601 can be written as 3 × 867. |
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| 867 can be written as 3 × 289. |
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| 289 can be written as 17 × 17. |
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| The end nodes are the prime factors of the number 10404. |
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