Find the prime factorization of number 513.
Answer
The prime factorization of 513 is:
$$ 513 = 3\cdot3\cdot3\cdot19 $$Which is the same as :
$$ 513 = 3^{3}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 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 513. |
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