Question
Find the prime factorization of number 29241.
Answer
The prime factorization of 29241 is:
$$ 29241 = 3\cdot3\cdot3\cdot3\cdot19\cdot19 $$Which is the same as :
$$ 29241 = 3^{4}\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 29241 can be written as 3 × 9747. |
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| 9747 can be written as 3 × 3249. |
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| 3249 can be written as 3 × 1083. |
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| 1083 can be written as 3 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 29241. |
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