Question
Find the prime factorization of number 2565.
Answer
The prime factorization of 2565 is:
$$ 2565 = 3\cdot3\cdot3\cdot5\cdot19 $$Which is the same as :
$$ 2565 = 3^{3}\cdot5\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2565 can be written as 5 × 513. |
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| 513 can be written as 3 × 171. |
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| 171 can be written as 3 × 57. |
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| 57 can be written as 3 × 19. |
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| The end nodes are the prime factors of the number 2565. |
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