Question
Find the prime factorization of number 35937.
Answer
The prime factorization of 35937 is:
$$ 35937 = 3\cdot3\cdot3\cdot11\cdot11\cdot11 $$Which is the same as :
$$ 35937 = 3^{3}\cdot11^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 35937 can be written as 3 × 11979. |
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| 11979 can be written as 3 × 3993. |
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| 3993 can be written as 3 × 1331. |
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| 1331 can be written as 11 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 35937. |
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