Question
Find the prime factorization of number 3219925.
Answer
The prime factorization of 3219925 is:
$$ 3219925 = 5\cdot5\cdot37\cdot59\cdot59 $$Which is the same as :
$$ 3219925 = 5^{2}\cdot37\cdot59^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3219925 can be written as 5 × 643985. |
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| 643985 can be written as 5 × 128797. |
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| 128797 can be written as 37 × 3481. |
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| 3481 can be written as 59 × 59. |
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| The end nodes are the prime factors of the number 3219925. |
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