Question
Find the prime factorization of number 3564.
Answer
The prime factorization of 3564 is:
$$ 3564 = 2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot11 $$Which is the same as :
$$ 3564 = 2^{2}\cdot3^{4}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3564 can be written as 2 × 1782. |
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| 1782 can be written as 2 × 891. |
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| 891 can be written as 3 × 297. |
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| 297 can be written as 3 × 99. |
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| 99 can be written as 3 × 33. |
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| 33 can be written as 3 × 11. |
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| The end nodes are the prime factors of the number 3564. |
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