Question
Find the prime factorization of number 40293.
Answer
The prime factorization of 40293 is:
$$ 40293 = 3\cdot3\cdot11\cdot11\cdot37 $$Which is the same as :
$$ 40293 = 3^{2}\cdot11^{2}\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 40293 can be written as 3 × 13431. |
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| 13431 can be written as 3 × 4477. |
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| 4477 can be written as 11 × 407. |
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| 407 can be written as 11 × 37. |
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| The end nodes are the prime factors of the number 40293. |
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