Question
Find the prime factorization of number 181447.
Answer
The prime factorization of 181447 is:
$$ 181447 = 7\cdot7\cdot7\cdot23\cdot23 $$Which is the same as :
$$ 181447 = 7^{3}\cdot23^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 181447 can be written as 7 × 25921. |
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| 25921 can be written as 7 × 3703. |
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| 3703 can be written as 7 × 529. |
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| 529 can be written as 23 × 23. |
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| The end nodes are the prime factors of the number 181447. |
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