Question
Find the prime factorization of number 9765.
Answer
The prime factorization of 9765 is:
$$ 9765 = 3\cdot3\cdot5\cdot7\cdot31 $$Which is the same as :
$$ 9765 = 3^{2}\cdot5\cdot7\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9765 can be written as 5 × 1953. |
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| 1953 can be written as 3 × 651. |
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| 651 can be written as 3 × 217. |
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| 217 can be written as 7 × 31. |
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| The end nodes are the prime factors of the number 9765. |
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