Question
Find the prime factorization of number 4046.
Answer
The prime factorization of 4046 is:
$$ 4046 = 2\cdot7\cdot17\cdot17 $$Which is the same as :
$$ 4046 = 2\cdot7\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4046 can be written as 2 × 2023. |
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| 2023 can be written as 7 × 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 4046. |
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