Question
Find the prime factorization of number 30798.
Answer
The prime factorization of 30798 is:
$$ 30798 = 2\cdot3\cdot3\cdot29\cdot59 $$Which is the same as :
$$ 30798 = 2\cdot3^{2}\cdot29\cdot59 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30798 can be written as 2 × 15399. |
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| 15399 can be written as 3 × 5133. |
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| 5133 can be written as 3 × 1711. |
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| 1711 can be written as 29 × 59. |
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| The end nodes are the prime factors of the number 30798. |
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