If a and b are integers and 12a = 25b, does 12 | b? does 25 | a? Explain.?
回答 (2)
Yes. The prime factorization of the integer "12*a" must equal the prime factorization of the integer "25*b". When both have been fully factored, there will be two 2's and a 3 on the left, which must be duplicated on the right; and there will be two 5's on the right, which must be duplicated on the left.
You don't have to keep asking this same question with different numbers. The concept and method of proof are exactly the same.
收錄日期: 2021-04-21 15:50:22
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