Question
Find the prime factorization of number 512705.
Answer
The prime factorization of 512705 is:
$$ 512705 = 5\cdot41\cdot41\cdot61 $$Which is the same as :
$$ 512705 = 5\cdot41^{2}\cdot61 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 512705 can be written as 5 × 102541. |
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| 102541 can be written as 41 × 2501. |
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| 2501 can be written as 41 × 61. |
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| The end nodes are the prime factors of the number 512705. |
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