Find the prime factorization of number 20736.
Answer
The prime factorization of 20736 is:
$$ 20736 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3 $$Which is the same as :
$$ 20736 = 2^{8}\cdot3^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 20736 can be written as 2 × 10368. |
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| 10368 can be written as 2 × 5184. |
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| 5184 can be written as 2 × 2592. |
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| 2592 can be written as 2 × 1296. |
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| 1296 can be written as 2 × 648. |
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| 648 can be written as 2 × 324. |
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| 324 can be written as 2 × 162. |
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| 162 can be written as 2 × 81. |
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| 81 can be written as 3 × 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 20736. |
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