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Investigation 25 has exactly three factors: 1, 5, and 25 Find other numbers with exactly three factors. Number Factor 1 Factor 2 Factor 3 25 1 5 25 What do you notice about numbers with exactly 3 factors? Feedback Please circle (1 is not at all and 4 is very much) Did you enjoy the homework? Did you find it difficult? How much discussion did you have about the homework? Did you feel you talked most? Comments Partner 1 2 3 4 1 2 3 4 1 2 3 4 Student 1 2 3 4 1 2 3 4 1 2 3 4 1 1 2 3 4 2 3 4 Year 8 Half Term 1 Multiples, Factors and Primes Name Maths Class Maths Teacher Maths Partner Date A Few Reminders A multiple is another name for the numbers in a times table. The lowest common multiple (LCM) of two numbers is the lowest number that appears in both sets of multiples. Example - 12 is the lowest common multiple of 4 and 6 because 12 is the lowest number that is in the 4 and 6 times table. A Factor goes into another number exactly. The highest common factor (HCF) of two numbers is the largest number that will divide exactly into both numbers. Example - The highest common factor of 8 and 12 is 4 because 4 is the largest number that will divide into exactly into 8 and 12. A prime factor is a factor that is prime. Example - 7 is a prime factor of 14 because 7 is prime and divides exactly into 14 Prime Factor Finder You need 2 different coloured pencils and paper to keep score Take turns to: Choose a number from the shaded boxes and cross it out. Shade all its prime factors in the main grid in your colour. Add up all the numbers that you have coloured at the end. The winner is the one with the biggest total. Example – if you choose 18 you must shade 3, 3 and 2 because 3 x 3 x 2 = 18 20 12 40 24 27 16 48 100 18 25 80 70 2 3 2 7 2 3 5 5 2 2 2 3 2 2 2 3 5 3 2 2 2 2 5 5 2 2 2 2 2 2 Use the space below to record your sets 2 2 5 3 5 2 5 3 3 3 2 2 2 2 5