Tag Archives: powers of 2

Partition of Integers

Among all collections, , of positive integers whose sum is , what is the largest product that the integers in can form? Source: NCTM Mathematics Teacher, August 2006 Solution Our first attempt at making the largest product is to write … Continue reading

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Product of Consecutive Integers

How many integer pairs satisfy the equation ? Source: NCTM Mathematics Teacher, September 2006 Solution We construct products of positive consecutive integers and see which ones if any can be expressed as a power of . is the only such … Continue reading

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2008 in Base 2

Express the integer in base . Source: NCTM Mathematics Teacher 2008 SOLUTION Please refer to the problem “Sum of Powers of Two” for details. In base Answer:

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