Question
Find the prime factorization of number 2768.
Answer
The prime factorization of 2768 is:
$$ 2768 = 2\cdot2\cdot2\cdot2\cdot173 $$Which is the same as :
$$ 2768 = 2^{4}\cdot173 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2768 can be written as 2 × 1384. |
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| 1384 can be written as 2 × 692. |
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| 692 can be written as 2 × 346. |
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| 346 can be written as 2 × 173. |
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| The end nodes are the prime factors of the number 2768. |
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