Question
Find the prime factorization of number 13566.
Answer
The prime factorization of 13566 is:
$$ 13566 = 2\cdot3\cdot7\cdot17\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 13566 can be written as 2 × 6783. |
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| 6783 can be written as 3 × 2261. |
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| 2261 can be written as 7 × 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 13566. |
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