University:
East Georgia State College
Course:
MATH 1001 | Quantitative Skills & Reasoning
Academic year:

2021
Views:

478

Pages:

2
Author:

Clint W.

Math 6 - Quiz Review: Name: Key Date: Hour: Factors, Prime and Composite Numbers, Prime Factorization, and Greatest Common Factor (Aligns with Sections 4-1, 4-2, and 4-2 from math textbook) Extra Credit - Divisibility Rules Factors List all of the factors of each number. Use your divisibility rules to help you. 1) 56: 1, 2, 4, 7, 8, 14, 28, 56 2) 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 3) 21: 1, 3, 7, 21 4) 50: 1, 2, 5, 10, 25, 50 5) 88: 1, 2, 4, 8, 11, 22, 44, 88 Prime, Composite, or Neither? 6) A number is prime if it is only divisible by the number 1 and itself. 7) A number is composite if it is divisible by more than two numbers. Tell whether each number is prime, composite or neither. 8) 15: composite 9) 29: prime 10) 0: neither 11) 9: composite 12) 43: prime 13) List the first eight prime numbers: 2, 3, 5, 7, 11, 13, 17, 19 The Factor Game 14) Are all prime numbers good first moves? (A number is a good first move if the player picking the number scores more points than his or her opponent.) Explain your answer. Yes; All prime numbers are good first moves because the second player gets only one point. Large primes are the best first moves. 15) Which first move would make you lose a turn? Why? 1; There are no factors for the other player to choose. 16) Are composite numbers good first moves? Explain your answer. Some composite numbers are good first moves and others are not. It depends on the sum of the factors. For example, 30 is a bad first move because the second player gets 42 points; 25 is not bad because your opponent gets only 6 points. 17) If you choose 16 at a first move in the Factor Game, how many points does your opponent get? How many points does your player get? Your opponent gets one point. Your player gets 15 points (8 + 4 + 2 + 1). Prime Factorization Write the prime factorization of each number. (Hint: Make factor trees) 18) 99 Answer: 3^2 * 11 = 99 19) 620 Answer: 2^2 * 5 * 31 = 620 20) 48 Answer: 2^4 * 3 = 48 21) 38 Answer: 2 * 19 = 38 22) 56 Answer: 2^3 * 7 = 56 Greatest Common Factor Find the GCF by listing the factors. 23) 10 and 20 GCF: 10 24) 40 and 48 GCF: 8 Find the GCF by using the ladder method. 25) 12, 16, and 20 GCF: 4 26) 16, 48, and 72 GCF: 16 27) 75, 225, and 150 GCF: 75