Question
Find the prime factorization of number 126000.
Answer
The prime factorization of 126000 is:
$$ 126000 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 126000 = 2^{4}\cdot3^{2}\cdot5^{3}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 126000 can be written as 10 × 12600. |
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| 10 can be written as 2 × 5. |
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| 12600 can be written as 10 × 1260. |
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| 10 can be written as 2 × 5. |
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| 1260 can be written as 10 × 126. |
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| 10 can be written as 2 × 5. |
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| 126 can be written as 2 × 63. |
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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 126000. |
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