Math 446 - Homework # 3 - California State University, Los Angeles
7. Let a and b be positive integers. Suppose that 5 occurs in the prime factorization of a exactly four times and 5 occurs in the prime factor-ization of b exactly two times. How many times does 5 occur in the prime factorization of a+ b? Solution: By assumption a = 54s and b = 52t where s and t are positive integers and 5 - s and 5 - t. ................
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