Question
Find the prime factorization of number 17496.
Answer
The prime factorization of 17496 is:
$$ 17496 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3 $$Which is the same as :
$$ 17496 = 2^{3}\cdot3^{7} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 17496 can be written as 2 × 8748. |
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| 8748 can be written as 2 × 4374. |
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| 4374 can be written as 2 × 2187. |
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| 2187 can be written as 3 × 729. |
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| 729 can be written as 3 × 243. |
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| 243 can be written as 3 × 81. |
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| 81 can be written as 3 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 17496. |
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