Find the prime factorization of number 8640.
Answer
The prime factorization of 8640 is:
$$ 8640 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5 $$Which is the same as :
$$ 8640 = 2^{6}\cdot3^{3}\cdot5 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8640 can be written as 10 × 864. |
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| 10 can be written as 2 × 5. |
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| 864 can be written as 2 × 432. |
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| 432 can be written as 2 × 216. |
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| 216 can be written as 2 × 108. |
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| 108 can be written as 2 × 54. |
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| 54 can be written as 2 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 8640. |
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