Find the prime factorization of number 7000.
Answer
The prime factorization of 7000 is:
$$ 7000 = 2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 7000 = 2^{3}\cdot5^{3}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7000 can be written as 10 × 700. |
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| 10 can be written as 2 × 5. |
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| 700 can be written as 10 × 70. |
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| 10 can be written as 2 × 5. |
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| 70 can be written as 10 × 7. |
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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 7000. |
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