Question
Find the prime factorization of number 8096.
Answer
The prime factorization of 8096 is:
$$ 8096 = 2\cdot2\cdot2\cdot2\cdot2\cdot11\cdot23 $$Which is the same as :
$$ 8096 = 2^{5}\cdot11\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8096 can be written as 2 × 4048. |
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| 4048 can be written as 2 × 2024. |
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| 2024 can be written as 2 × 1012. |
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| 1012 can be written as 2 × 506. |
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| 506 can be written as 2 × 253. |
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| 253 can be written as 11 × 23. |
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| The end nodes are the prime factors of the number 8096. |
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