Question
Find the prime factorization of number 5439.
Answer
The prime factorization of 5439 is:
$$ 5439 = 3\cdot7\cdot7\cdot37 $$Which is the same as :
$$ 5439 = 3\cdot7^{2}\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5439 can be written as 3 × 1813. |
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| 1813 can be written as 7 × 259. |
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| 259 can be written as 7 × 37. |
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| The end nodes are the prime factors of the number 5439. |
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