For any even integer n, it is always possible to find a pair of integers m and k such that n = m × 2k , where m is the smallest integer. 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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For any even integer n, it is always possible to find a pair of
integers m and k such that n = m × 2k
, where m is the smallest integer.
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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