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Published byDamon Cameron Modified over 2 years ago

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How do factor pairs relate to the dimensions of a rectangle? What are square numbers?

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What are factor pairs? A factor pair consists of two whole numbers that are multiplied to get a product. Ex: All of the factor pairs of 18 are: 1, 18 2, 9 3, 6

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Factor Pairs and Rectangles Factor pairs of a number can be used to make rectangles with a given area. For example, if you have 18 tiles that you want to arrange into a rectangle, you can use the factor pairs listed on the previous slide to determine the rectangles dimensions (the side lengths).

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Factor Pairs and Rectangles (cont.) It is possible to make 3 different rectangles with 18 tiles. 1 by 182 by 93 by 6 Can you make a square with 18 tiles? Explain.

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Square Numbers A square number is a number that is a result of the product of a number multiplied by itself. A square number will have an odd number of factors. Ex: 9 is a square number because 3 3 = 9. Since 9 is a square number, you can make a 3 by 3 square using 9 tiles. What other square numbers can you think of?

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Square Numbers (cont.) The number that is multiplied by itself to produce a square number is called the square root of that number. The square root of 9 is 3 because 3 3 = 9. The square root symbol is. The square root of 9 looks like 9.

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Square Numbers (cont.) A shortcut for writing 3 3 is to use an exponent. 3² or three squared may also be read as 3 to the power of 2 or 3 to the 2nd power.

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The First 15 Square Numbers Perfect SquareFactors 11 * 1 or 1 2 42 * 2 or 2 2 9 3 * 3 or 3 2 16 4 * 4 or 4 2 255 * 5 or 5 2 366 * 6 or 6 2 497 * 7 or 7 2 648 * 8 or 8 2 819 * 9 or 9 2 10010 * 10 or 10 2 12111 * 11 or 11 2 14412 * 12 or 12 2 16913 * 13 or 13 2 19614 * 14 or 14 2 22515 * 15 or 15 2

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Square Numbers (cont.) Notice that square numbers run diagonally through the middle of a multiplication chart!

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More Square Numbers Here is a list of more square numbers: http://www.maths.com/numbers.square.htm

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