Question
Find the prime factorization of number 812.
Answer
The prime factorization of 812 is:
$$ 812 = 2\cdot2\cdot7\cdot29 $$Which is the same as :
$$ 812 = 2^{2}\cdot7\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 812 can be written as 2 × 406. |
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| 406 can be written as 2 × 203. |
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| 203 can be written as 7 × 29. |
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| The end nodes are the prime factors of the number 812. |
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