Question
Find the prime factorization of number 2568.
Answer
The prime factorization of 2568 is:
$$ 2568 = 2\cdot2\cdot2\cdot3\cdot107 $$Which is the same as :
$$ 2568 = 2^{3}\cdot3\cdot107 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2568 can be written as 2 × 1284. |
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| 1284 can be written as 2 × 642. |
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| 642 can be written as 2 × 321. |
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| 321 can be written as 3 × 107. |
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| The end nodes are the prime factors of the number 2568. |
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