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 )

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 )

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.7: Problem Solving: Consecutive Integers

Problem 14OE

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Question

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 )

Expert Solution