Question
Find the prime factorization of number 300600.
Answer
The prime factorization of 300600 is:
$$ 300600 = 2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot167 $$Which is the same as :
$$ 300600 = 2^{3}\cdot3^{2}\cdot5^{2}\cdot167 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 300600 can be written as 10 × 30060. |
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| 10 can be written as 2 × 5. |
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| 30060 can be written as 10 × 3006. |
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| 10 can be written as 2 × 5. |
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| 3006 can be written as 2 × 1503. |
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| 1503 can be written as 3 × 501. |
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| 501 can be written as 3 × 167. |
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| The end nodes are the prime factors of the number 300600. |
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