Question
Find the prime factorization of number 24000.
Answer
The prime factorization of 24000 is:
$$ 24000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 24000 = 2^{6}\cdot3\cdot5^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 24000 can be written as 10 × 2400. |
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| 10 can be written as 2 × 5. |
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| 2400 can be written as 10 × 240. |
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| 10 can be written as 2 × 5. |
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| 240 can be written as 10 × 24. |
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| 10 can be written as 2 × 5. |
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| 24 can be written as 2 × 12. |
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| 12 can be written as 2 × 6. |
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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 24000. |
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