Question
Find the prime factorization of number 193815.
Answer
The prime factorization of 193815 is:
$$ 193815 = 3\cdot3\cdot5\cdot59\cdot73 $$Which is the same as :
$$ 193815 = 3^{2}\cdot5\cdot59\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 193815 can be written as 5 × 38763. |
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| 38763 can be written as 3 × 12921. |
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| 12921 can be written as 3 × 4307. |
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| 4307 can be written as 59 × 73. |
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| The end nodes are the prime factors of the number 193815. |
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