Question
Find the prime factorization of number 810.
Answer
The prime factorization of 810 is:
$$ 810 = 2\cdot3\cdot3\cdot3\cdot3\cdot5 $$Which is the same as :
$$ 810 = 2\cdot3^{4}\cdot5 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 810 can be written as 10 × 81. |
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| 10 can be written as 2 × 5. |
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| 81 can be written as 3 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 810. |
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