Question
Find the prime factorization of number 194580.
Answer
The prime factorization of 194580 is:
$$ 194580 = 2\cdot2\cdot3\cdot3\cdot5\cdot23\cdot47 $$Which is the same as :
$$ 194580 = 2^{2}\cdot3^{2}\cdot5\cdot23\cdot47 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 194580 can be written as 10 × 19458. |
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| 10 can be written as 2 × 5. |
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| 19458 can be written as 2 × 9729. |
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| 9729 can be written as 3 × 3243. |
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| 3243 can be written as 3 × 1081. |
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| 1081 can be written as 23 × 47. |
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| The end nodes are the prime factors of the number 194580. |
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