Question
Find the prime factorization of number 238302.
Answer
The prime factorization of 238302 is:
$$ 238302 = 2\cdot3\cdot3\cdot3\cdot3\cdot1471 $$Which is the same as :
$$ 238302 = 2\cdot3^{4}\cdot1471 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 238302 can be written as 2 × 119151. |
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| 119151 can be written as 3 × 39717. |
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| 39717 can be written as 3 × 13239. |
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| 13239 can be written as 3 × 4413. |
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| 4413 can be written as 3 × 1471. |
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| The end nodes are the prime factors of the number 238302. |
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