Question
Find the prime factorization of number 3348.
Answer
The prime factorization of 3348 is:
$$ 3348 = 2\cdot2\cdot3\cdot3\cdot3\cdot31 $$Which is the same as :
$$ 3348 = 2^{2}\cdot3^{3}\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3348 can be written as 2 × 1674. |
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| 1674 can be written as 2 × 837. |
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| 837 can be written as 3 × 279. |
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| 279 can be written as 3 × 93. |
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| 93 can be written as 3 × 31. |
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| The end nodes are the prime factors of the number 3348. |
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