Question
Find the prime factorization of number 540000.
Answer
The prime factorization of 540000 is:
$$ 540000 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 540000 = 2^{5}\cdot3^{3}\cdot5^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 540000 can be written as 10 × 54000. |
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| 10 can be written as 2 × 5. |
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| 54000 can be written as 10 × 5400. |
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| 10 can be written as 2 × 5. |
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| 5400 can be written as 10 × 540. |
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| 10 can be written as 2 × 5. |
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| 540 can be written as 10 × 54. |
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| 10 can be written as 2 × 5. |
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| 54 can be written as 2 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 540000. |
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