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# Download Factors and multiples 10a Square numbers 10b

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List the factors of 16. 16 ⫽ 1 ⫻ 16, 2 ⫻ 8 or 4 ⫻ 4 So the factors of 16 are 1, 2, 4, 8 and 16. 1 List the first five multiples of these numbers. a 2 b 5 c 6 d9 e 12 2 List all the factors of these numbers. a 3 b 4 c 10 d 18 e 25 3 True or false? Explain each answer. a 38 is an even number b 85 is a multiple of 5 c 4 is a factor of 34 d 72 will divide by 3 exactly. 4 Gemma wins £68.43 on the lottery. She decides to give an equal share to each of her three children. Can this be done? 5 Clare makes 114 cards to sell at a Christmas fair. If Clare bundles her cards into packs of 4, will she have an exact number of packs? 10b Square numbers example example 10a Factors and multiples Calculate 192 Using a calculator: 1 9 x2 1 Without using a calculator, write the value of these. a 32 ⫽ 3 ⫻ ⫽ b 52 ⫽ 5 ⫻ ⫽ c 82 ⫽ ⫻ ⫽ d 92 ⫽ ⫻ ⫽ e 102 ⫽ ⫻ ⫽ f 122 ⫽ ⫻ ⫽ 2 Use your calculator to find the value of these square numbers. a 132 b 172 c 312 2 2 d 35 e 70 3 a Copy and continue this sequence for three more lines. 1⫽1 1⫹3⫽4 1⫹3⫹5⫽9 b What type of numbers are on the left hand side of each equation? c What type of numbers are on the right hand side of each equation? 4 Work out the area of these. 55 cm 85 m a b 6 True or false? Any multiple of 6 is also a multiple of 2 and a multiple of 3. c 55 cm 85 m Candace’s chess board The playground at Tom’s school 54 Algebra Factors and multiples 361 ⴝ 72 m 72 m A swimming pool in a pleasure park Algebra Square numbers 55