Question
Find the prime factorization of number 8500.
Answer
The prime factorization of 8500 is:
$$ 8500 = 2\cdot2\cdot5\cdot5\cdot5\cdot17 $$Which is the same as :
$$ 8500 = 2^{2}\cdot5^{3}\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8500 can be written as 10 × 850. |
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| 10 can be written as 2 × 5. |
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| 850 can be written as 10 × 85. |
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| 10 can be written as 2 × 5. |
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| 85 can be written as 5 × 17. |
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| The end nodes are the prime factors of the number 8500. |
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