Question
Find the prime factorization of number 180606240.
Answer
The prime factorization of 180606240 is:
$$ 180606240 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot97\cdot431 $$Which is the same as :
$$ 180606240 = 2^{5}\cdot3^{3}\cdot5\cdot97\cdot431 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 180606240 can be written as 10 × 18060624. |
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| 10 can be written as 2 × 5. |
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| 18060624 can be written as 2 × 9030312. |
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| 9030312 can be written as 2 × 4515156. |
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| 4515156 can be written as 2 × 2257578. |
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| 2257578 can be written as 2 × 1128789. |
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| 1128789 can be written as 3 × 376263. |
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| 376263 can be written as 3 × 125421. |
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| 125421 can be written as 3 × 41807. |
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| 41807 can be written as 97 × 431. |
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| The end nodes are the prime factors of the number 180606240. |
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