Question
Find the prime factorization of number 30699.
Answer
The prime factorization of 30699 is:
$$ 30699 = 3\cdot3\cdot3\cdot3\cdot379 $$Which is the same as :
$$ 30699 = 3^{4}\cdot379 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30699 can be written as 3 × 10233. |
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| 10233 can be written as 3 × 3411. |
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| 3411 can be written as 3 × 1137. |
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| 1137 can be written as 3 × 379. |
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| The end nodes are the prime factors of the number 30699. |
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