Question
Find the prime factorization of number 437325.
Answer
The prime factorization of 437325 is:
$$ 437325 = 3\cdot5\cdot5\cdot7\cdot7\cdot7\cdot17 $$Which is the same as :
$$ 437325 = 3\cdot5^{2}\cdot7^{3}\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 437325 can be written as 5 × 87465. |
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| 87465 can be written as 5 × 17493. |
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| 17493 can be written as 3 × 5831. |
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| 5831 can be written as 7 × 833. |
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| 833 can be written as 7 × 119. |
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| 119 can be written as 7 × 17. |
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| The end nodes are the prime factors of the number 437325. |
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