Find the prime factorization of number 3000.
Answer
The prime factorization of 3000 is:
$$ 3000 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 3000 = 2^{3}\cdot3\cdot5^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3000 can be written as 10 × 300. |
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| 10 can be written as 2 × 5. |
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| 300 can be written as 10 × 30. |
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| 10 can be written as 2 × 5. |
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| 30 can be written as 10 × 3. |
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| 10 can be written as 2 × 5. |
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| The end nodes are the prime factors of the number 3000. |
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