Question
Find the prime factorization of number 6810000.
Answer
The prime factorization of 6810000 is:
$$ 6810000 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot227 $$Which is the same as :
$$ 6810000 = 2^{4}\cdot3\cdot5^{4}\cdot227 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6810000 can be written as 10 × 681000. |
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| 10 can be written as 2 × 5. |
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| 681000 can be written as 10 × 68100. |
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| 10 can be written as 2 × 5. |
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| 68100 can be written as 10 × 6810. |
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| 10 can be written as 2 × 5. |
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| 6810 can be written as 10 × 681. |
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| 10 can be written as 2 × 5. |
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| 681 can be written as 3 × 227. |
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| The end nodes are the prime factors of the number 6810000. |
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