Question
Find the prime factorization of number 6650.
Answer
The prime factorization of 6650 is:
$$ 6650 = 2\cdot5\cdot5\cdot7\cdot19 $$Which is the same as :
$$ 6650 = 2\cdot5^{2}\cdot7\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6650 can be written as 10 × 665. |
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| 10 can be written as 2 × 5. |
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| 665 can be written as 5 × 133. |
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| 133 can be written as 7 × 19. |
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| The end nodes are the prime factors of the number 6650. |
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