Question
Find the prime factorization of number 3285.
Answer
The prime factorization of 3285 is:
$$ 3285 = 3\cdot3\cdot5\cdot73 $$Which is the same as :
$$ 3285 = 3^{2}\cdot5\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3285 can be written as 5 × 657. |
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| 657 can be written as 3 × 219. |
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| 219 can be written as 3 × 73. |
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| The end nodes are the prime factors of the number 3285. |
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