Question
Find the prime factorization of number 33275.
Answer
The prime factorization of 33275 is:
$$ 33275 = 5\cdot5\cdot11\cdot11\cdot11 $$Which is the same as :
$$ 33275 = 5^{2}\cdot11^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 33275 can be written as 5 × 6655. |
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| 6655 can be written as 5 × 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 33275. |
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