Find the prime factorization of number 405.
Answer
The prime factorization of 405 is:
$$ 405 = 3\cdot3\cdot3\cdot3\cdot5 $$Which is the same as :
$$ 405 = 3^{4}\cdot5 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 405 can be written as 5 × 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 405. |
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