Question
Find the prime factorization of number 30564.
Answer
The prime factorization of 30564 is:
$$ 30564 = 2\cdot2\cdot3\cdot3\cdot3\cdot283 $$Which is the same as :
$$ 30564 = 2^{2}\cdot3^{3}\cdot283 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30564 can be written as 2 × 15282. |
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| 15282 can be written as 2 × 7641. |
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| 7641 can be written as 3 × 2547. |
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| 2547 can be written as 3 × 849. |
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| 849 can be written as 3 × 283. |
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| The end nodes are the prime factors of the number 30564. |
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