Question
Find the prime factorization of number 6000000.
Answer
The prime factorization of 6000000 is:
$$ 6000000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 6000000 = 2^{7}\cdot3\cdot5^{6} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6000000 can be written as 10 × 600000. |
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| 10 can be written as 2 × 5. |
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| 600000 can be written as 10 × 60000. |
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| 10 can be written as 2 × 5. |
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| 60000 can be written as 10 × 6000. |
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| 10 can be written as 2 × 5. |
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| 6000 can be written as 10 × 600. |
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| 10 can be written as 2 × 5. |
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| 600 can be written as 10 × 60. |
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| 10 can be written as 2 × 5. |
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| 60 can be written as 10 × 6. |
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| 10 can be written as 2 × 5. |
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| 6 can be written as 2 × 3. |
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| The end nodes are the prime factors of the number 6000000. |
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