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Unit 1 Review Period 2 Factor Pairs 1. List all the factor pairs for 36. Do not use the number 1 in any of your factor pairs. #1 Answer Answer: 2x18 3x12 4x9 6x6 18x2 12x3 9x4 Prime & Composite 2. Explain what a prime number is and give an example. 3. Explain what a composite number is and give an example. #2 and #3 Answers 2. A prime number has exactly two factors, one and itself. 7 is a prime number. 3. A composite number has more than two factors. 28, 36 and 100 are composite numbers. Factor Captor 4. What is a good move for you to make in the factor captor game? Why? #4 Answer A good move is a prime number or a number that does not have many factors. If you choose a prime number you get that amount of points and your partner only gets 1 if it is uncovered. It is always a good first move if you get more points than your opponent. Prime Factorization 5. What is the prime factorization of 48? Write your answer in expanded and exponential form. #5 Answer 2x2x2x2x3 4 2 x3 Exponential Notation Fill in the missing numbers. 2 4 6. = ____ 7. 62 = ____ 2 ___ 8. 9x9= 9. 64 = ___ 2 2 10. 10x10= ___ #6-10 Answers 6. 16 7. 36 8. 92 2 8 9. 2 10 10. Divisibility Rules • Make sure to study all of the rules! 11. Create a number that is greater than 100 and divisible by 3. 12. Create a number greater than 100 that is divisible by 6. #11 & #12 Answers 11. 231, 105, 132 (Make sure the sum of the digits is divisible by 3) 12. 132, 108; 114 (The sum of the digits should be divisible by 3 and it should end in an even number)