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Prime Factorization/ Square Numbers Arrays Factors Prime/ Composite 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 500 500 500 500 4*6 What number model describes this rectangular array? Row 1, Col 1 1, 2, 5, 10 List all of the factors for the product 10. HINT: think of factor pairs. 1,2 It is neither prime nor composite because it only has one factor: itself. Is the number 1 prime or composite? Explain your answer 1,3 An exponent. What is this number called? 2 3 1,4 13 columns How many columns would an array have, whose number model is 12 * 13 ? 2,1 1, 2, 4, 8, 16 List all the factors of 16 . 2,2 A prime number is a counting number that has exactly two factors: one and itself. What is the definition of a prime number? 2,3 81 What does 92 equal? 2,4 There are four possible arrays: 1 * 15 15 * 1 3*5 5*3 How many rectangular arrays can be made using the product 15 ? Name them. 3,1 1, 2, 3, 4, 6, 8, 12, 24 List all the factors of 24. 3,2 A composite number is a counting number that has more than two factors. What is the definition of a composite number? 3,3 10 What is the square root of 100? 3,4 The turn-around rule or the Commutative Property of Multiplication. What is the name of the RULE that you should always remember to apply when drawing arrays? (HINT: 4 * 5 and 5 * 4) 4,1 1, 2, 4, 8, 16, 32 List all the factors of 32. 4,2 It is prime. It is the only even prime number. Is the number 2 prime or composite? Explain. 4,3 2*2*2*5 What is the prime factorization (the longest factor string) for 40? HINT: you are finding prime numbers. 4,4 •It has to have the same number of rows as it does columns. •It is shaped like a square. • It uses the same factor twice in its number model. Name two ways things that make a square array different from a rectangular array. 5,1 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 List the factors of 48. 5,2 2, 3, 5, 7, 11, 13, 17, 19 List all of the prime numbers less than 20. 5,3 1, 4, 9, 16, 25, 36, 49 List all the square numbers less than 50. 5,4 7,6 7 4, 5 7 7.1 9 seven million, six hundred seventy four thousand, five hundred seventy seven and nineteen hundredths Write a 9 digit number that has: •5 in the hundreds place •6 in the hundred-thousands place •4 in the thousands place •9 in the hundredths place •1 in the tenths place •7 in all other places ___ , ___ ___ ___ , ___ ___ ___ . ___ ___ Say the number correctly. 5,4