Find the prime factorization of number 28812.
Answer
The prime factorization of 28812 is:
$$ 28812 = 2\cdot2\cdot3\cdot7\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 28812 = 2^{2}\cdot3\cdot7^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 28812 can be written as 2 × 14406. |
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| 14406 can be written as 2 × 7203. |
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| 7203 can be written as 3 × 2401. |
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| 2401 can be written as 7 × 343. |
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| 343 can be written as 7 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 28812. |
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