Question
Find the prime factorization of number 5525.
Answer
The prime factorization of 5525 is:
$$ 5525 = 5\cdot5\cdot13\cdot17 $$Which is the same as :
$$ 5525 = 5^{2}\cdot13\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5525 can be written as 5 × 1105. |
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| 1105 can be written as 5 × 221. |
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| 221 can be written as 13 × 17. |
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| The end nodes are the prime factors of the number 5525. |
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