Question
Find the prime factorization of number 630000.
Answer
The prime factorization of 630000 is:
$$ 630000 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 630000 = 2^{4}\cdot3^{2}\cdot5^{4}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 630000 can be written as 10 × 63000. |
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| 10 can be written as 2 × 5. |
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| 63000 can be written as 10 × 6300. |
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| 10 can be written as 2 × 5. |
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| 6300 can be written as 10 × 630. |
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| 10 can be written as 2 × 5. |
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| 630 can be written as 10 × 63. |
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| 10 can be written as 2 × 5. |
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| 63 can be written as 3 × 21. |
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| 21 can be written as 3 × 7. |
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| The end nodes are the prime factors of the number 630000. |
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