Question
Find the prime factorization of number 840000.
Answer
The prime factorization of 840000 is:
$$ 840000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 840000 = 2^{6}\cdot3\cdot5^{4}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 840000 can be written as 10 × 84000. |
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| 10 can be written as 2 × 5. |
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| 84000 can be written as 10 × 8400. |
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| 10 can be written as 2 × 5. |
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| 8400 can be written as 10 × 840. |
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| 10 can be written as 2 × 5. |
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| 840 can be written as 10 × 84. |
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| 10 can be written as 2 × 5. |
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| 84 can be written as 2 × 42. |
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| 42 can be written as 2 × 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 840000. |
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