Question
Find the prime factorization of number 9477.
Answer
The prime factorization of 9477 is:
$$ 9477 = 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot13 $$Which is the same as :
$$ 9477 = 3^{6}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9477 can be written as 3 × 3159. |
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| 3159 can be written as 3 × 1053. |
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| 1053 can be written as 3 × 351. |
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| 351 can be written as 3 × 117. |
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| 117 can be written as 3 × 39. |
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| 39 can be written as 3 × 13. |
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| The end nodes are the prime factors of the number 9477. |
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