Find the prime factorization of number 585.
Answer
The prime factorization of 585 is:
$$ 585 = 3\cdot3\cdot5\cdot13 $$Which is the same as :
$$ 585 = 3^{2}\cdot5\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 585 can be written as 5 × 117. |
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| 117 can be written as 3 × 39. |
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| 39 can be written as 3 × 13. |
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| The end nodes are the prime factors of the number 585. |
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