Question
Find the prime factorization of number 150000.
Answer
The prime factorization of 150000 is:
$$ 150000 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 150000 = 2^{4}\cdot3\cdot5^{5} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 150000 can be written as 10 × 15000. |
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| 10 can be written as 2 × 5. |
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| 15000 can be written as 10 × 1500. |
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| 10 can be written as 2 × 5. |
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| 1500 can be written as 10 × 150. |
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| 10 can be written as 2 × 5. |
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| 150 can be written as 10 × 15. |
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| 10 can be written as 2 × 5. |
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| 15 can be written as 5 × 3. |
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| The end nodes are the prime factors of the number 150000. |
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