Question
Find the prime factorization of number 81216.
Answer
The prime factorization of 81216 is:
$$ 81216 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot47 $$Which is the same as :
$$ 81216 = 2^{6}\cdot3^{3}\cdot47 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 81216 can be written as 2 × 40608. |
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| 40608 can be written as 2 × 20304. |
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| 20304 can be written as 2 × 10152. |
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| 10152 can be written as 2 × 5076. |
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| 5076 can be written as 2 × 2538. |
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| 2538 can be written as 2 × 1269. |
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| 1269 can be written as 3 × 423. |
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| 423 can be written as 3 × 141. |
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| 141 can be written as 3 × 47. |
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| The end nodes are the prime factors of the number 81216. |
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