Question
Find the prime factorization of number 471625.
Answer
The prime factorization of 471625 is:
$$ 471625 = 5\cdot5\cdot5\cdot7\cdot7\cdot7\cdot11 $$Which is the same as :
$$ 471625 = 5^{3}\cdot7^{3}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 471625 can be written as 5 × 94325. |
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| 94325 can be written as 5 × 18865. |
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| 18865 can be written as 5 × 3773. |
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| 3773 can be written as 7 × 539. |
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| 539 can be written as 7 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 471625. |
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