Question
Find the prime factorization of number 5200.
Answer
The prime factorization of 5200 is:
$$ 5200 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot13 $$Which is the same as :
$$ 5200 = 2^{4}\cdot5^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5200 can be written as 10 × 520. |
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| 10 can be written as 2 × 5. |
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| 520 can be written as 10 × 52. |
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| 10 can be written as 2 × 5. |
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| 52 can be written as 2 × 26. |
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| 26 can be written as 2 × 13. |
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| The end nodes are the prime factors of the number 5200. |
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