Find the prime factorization of number 1566.
Answer
The prime factorization of 1566 is:
$$ 1566 = 2\cdot3\cdot3\cdot3\cdot29 $$Which is the same as :
$$ 1566 = 2\cdot3^{3}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1566 can be written as 2 × 783. |
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| 783 can be written as 3 × 261. |
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| 261 can be written as 3 × 87. |
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| 87 can be written as 3 × 29. |
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| The end nodes are the prime factors of the number 1566. |
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