Question
Find the prime factorization of number 144180240.
Answer
The prime factorization of 144180240 is:
$$ 144180240 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot600751 $$Which is the same as :
$$ 144180240 = 2^{4}\cdot3\cdot5\cdot600751 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 144180240 can be written as 10 × 14418024. |
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| 10 can be written as 2 × 5. |
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| 14418024 can be written as 2 × 7209012. |
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| 7209012 can be written as 2 × 3604506. |
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| 3604506 can be written as 2 × 1802253. |
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| 1802253 can be written as 3 × 600751. |
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| The end nodes are the prime factors of the number 144180240. |
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