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Earn +20 ptsQ: What are the squares of odd number?
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What even number less than 100 has an odd number of factors?
Perfect squares have odd numbers of factors. The perfect squares less than 100 are: 1,4,9,16,25,36,49,64,81,100. 64 seems to fit both criteria.
What has an odd number of factors but is an even number?
Squares of even numbers like 4 and 16.
Is the sum of two square consecutive numbers an odd number?
Yes. One has to be the square of an odd number. The other square has to the the square of the even number either before or after the odd number. If this is confusing just plug in real values. In either case, an odd times and odd is odd. Therefore one of the squares has to be odd. AN even times an even, however, is always even. Therefore, the second square has to be even. Thus, one of the squares is even and the other is odd. An even plus and odd is always odd.
Why are all squares similar?
Because they are cooresponding shapes
What are numbers with odd factors called?
squares
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