Question
Find the prime factorization of number 98766.
Answer
The prime factorization of 98766 is:
$$ 98766 = 2\cdot3\cdot3\cdot3\cdot31\cdot59 $$Which is the same as :
$$ 98766 = 2\cdot3^{3}\cdot31\cdot59 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 98766 can be written as 2 × 49383. |
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| 49383 can be written as 3 × 16461. |
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| 16461 can be written as 3 × 5487. |
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| 5487 can be written as 3 × 1829. |
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| 1829 can be written as 31 × 59. |
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| The end nodes are the prime factors of the number 98766. |
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