Problem 7 [Algorithms integers m and k such that n = m × 2*, where m is the smallest integer. For any even integer n, it is always possible to find a pair of 1. Write an algorithm that finds a factorization of any even integer n as stated above. For instance, we have the following two factorizations: 48 = 3 × 24 instead of 48 = 12 × 2² 52 = 13 × 2² instead of 52 = 26 × 2. 2. Analyze the time of your algorithm by computing the number of its multiplications. Show

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Problem 7 [Algorithms
integers m and k such that n = m × 24, where m is the smallest integer.
For any even integer n, it is always possible to find a pair of
1. Write an algorithm that finds a factorization of any even integer n as stated above.
For instance, we have the following two factorizations:
48 = 3 × 24 instead of 48 = 12 × 22
52 = 13 x 22 instead of 52 = 26 × 2.
2. Analyze the time of your algorithm by computing the number of its multiplications. Show
your work step by step. Otherwise, your solution is incorrect.
Transcribed Image Text:Problem 7 [Algorithms integers m and k such that n = m × 24, where m is the smallest integer. For any even integer n, it is always possible to find a pair of 1. Write an algorithm that finds a factorization of any even integer n as stated above. For instance, we have the following two factorizations: 48 = 3 × 24 instead of 48 = 12 × 22 52 = 13 x 22 instead of 52 = 26 × 2. 2. Analyze the time of your algorithm by computing the number of its multiplications. Show your work step by step. Otherwise, your solution is incorrect.
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