Question
Find the prime factorization of number 544320.
Answer
The prime factorization of 544320 is:
$$ 544320 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot7 $$Which is the same as :
$$ 544320 = 2^{6}\cdot3^{5}\cdot5\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 544320 can be written as 10 × 54432. |
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| 10 can be written as 2 × 5. |
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| 54432 can be written as 2 × 27216. |
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| 27216 can be written as 2 × 13608. |
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| 13608 can be written as 2 × 6804. |
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| 6804 can be written as 2 × 3402. |
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| 3402 can be written as 2 × 1701. |
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| 1701 can be written as 3 × 567. |
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| 567 can be written as 3 × 189. |
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| 189 can be written as 3 × 63. |
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| 63 can be written as 3 × 21. |
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| 21 can be written as 3 × 7. |
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| The end nodes are the prime factors of the number 544320. |
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