Find the prime factorization of number 16807.
Answer
The prime factorization of 16807 is:
$$ 16807 = 7\cdot7\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 16807 = 7^{5} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 16807 can be written as 7 × 2401. |
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| 2401 can be written as 7 × 343. |
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| 343 can be written as 7 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 16807. |
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