Question
Find the prime factorization of number 5859.
Answer
The prime factorization of 5859 is:
$$ 5859 = 3\cdot3\cdot3\cdot7\cdot31 $$Which is the same as :
$$ 5859 = 3^{3}\cdot7\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5859 can be written as 3 × 1953. |
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| 1953 can be written as 3 × 651. |
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| 651 can be written as 3 × 217. |
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| 217 can be written as 7 × 31. |
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| The end nodes are the prime factors of the number 5859. |
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