Question
Find the prime factorization of number 90000.
Answer
The prime factorization of 90000 is:
$$ 90000 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 90000 = 2^{4}\cdot3^{2}\cdot5^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 90000 can be written as 10 × 9000. |
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| 10 can be written as 2 × 5. |
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| 9000 can be written as 10 × 900. |
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| 10 can be written as 2 × 5. |
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| 900 can be written as 10 × 90. |
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| 10 can be written as 2 × 5. |
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| 90 can be written as 10 × 9. |
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| 10 can be written as 2 × 5. |
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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 90000. |
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