Friday, December 08, 2006

Numbers with an ODD number of Factors

There certainly are numbers with an odd number of factors!!!
They are perfect squares: 4, 9, 16, 25, etc. Look what happens when we list the factors of perfect squares. 4: 1x4, 2x2 so the factors are 1, 2, and 4--that's 3 factors! 9: 1x9, 3x3, so the factors are 1, 3, and 9--that's three factors! 16: 1x16, 2x8, 4x4, so the factors are 1, 2, 4, 8, and 16 which is five factors! Eureka!!!--don't you just love this stuff??? (Don't worry--I gave you all points for your answers on the test since it was my fault that you had the wrong information.)

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