Question
Find the prime factorization of number 5500.
Answer
The prime factorization of 5500 is:
$$ 5500 = 2\cdot2\cdot5\cdot5\cdot5\cdot11 $$Which is the same as :
$$ 5500 = 2^{2}\cdot5^{3}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5500 can be written as 10 × 550. |
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| 10 can be written as 2 × 5. |
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| 550 can be written as 10 × 55. |
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| 10 can be written as 2 × 5. |
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| 55 can be written as 5 × 11. |
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| The end nodes are the prime factors of the number 5500. |
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