Question
Find the prime factorization of number 8766.
Answer
The prime factorization of 8766 is:
$$ 8766 = 2\cdot3\cdot3\cdot487 $$Which is the same as :
$$ 8766 = 2\cdot3^{2}\cdot487 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8766 can be written as 2 × 4383. |
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| 4383 can be written as 3 × 1461. |
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| 1461 can be written as 3 × 487. |
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| The end nodes are the prime factors of the number 8766. |
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