Let x and y be positive integers such that the prime factorization of x has exactly four 5’s and prime factorization of y has exactly two 5’s. How many 5’s does the prime factorization of x + y contain? (Hint: the assumption described in the first sentence means that x = 54a and y = 52b where a and b are integers that are not divisible by 5 )

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 28E: Let and be positive integers. If and is the least common multiple of and , prove that . Note...
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 Let x and y be positive integers such that the prime factorization of x has exactly four
5’s and prime factorization of y has exactly two 5’s. How many 5’s does the prime
factorization of x + y contain? (Hint: the assumption described in the first sentence
means that x = 54a and y = 52b where a and b are integers that are not divisible by 5 )

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