Question
Find the prime factorization of number 2584.
Answer
The prime factorization of 2584 is:
$$ 2584 = 2\cdot2\cdot2\cdot17\cdot19 $$Which is the same as :
$$ 2584 = 2^{3}\cdot17\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2584 can be written as 2 × 1292. |
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| 1292 can be written as 2 × 646. |
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| 646 can be written as 2 × 323. |
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| 323 can be written as 17 × 19. |
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| The end nodes are the prime factors of the number 2584. |
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