1 Chapter 2 Factors and Multiples A. Prime Numbers a.) can only be divided by oneself and divided by 1 b.) only two divisors c.) each of the prime numbers is odd numbers except 2 d.) 1 is not prime numbers .1 = odd numbers e.) 2, 3, 5, 7, 11, 13, 17, 19, 23, … I/. List your prime number. 1.) 40 to 60 = 2.) 70 to 90 = 3.) 0 to 20 = 4.) 21 to 40 = 5.) 41 to 60 = 6.) 61 to 80 = II/. Complete it. 1.) 17, 13, , 7, 5, , 2, …… = = 2.) Result sum of all prime numbers is between 16 to 26. = = 3.) Result sum 2 prime numbers =16. Find 2 numbers. = = 4.) Result sum of all prime numbers is between 20 and 30. = =
2 B. Factors, Prime Factors and Highest Common Factor (HCF) a.) factors can be divide by what? I/. list all the factors for 1.) 15 2.) 39 3.) 82 4.) 90 5.) 106 6.) 125 7.) 132 8.) 220
3 II/. State whether the following is a factor of 6240. 1.) 9 2.) 15 3.) 24 4.) 120 III/. Find the result sum of the following number factors. 1.) 18 2.) 15 3.) 39 4.) 8 IV/. Find the product of the following number factors. 1.) 8 2.) 25 3.) 16 4.) 39
4 b.) Prime factors I/. Find the prime factorsfor the following numbers. 1.) 13 2.) 51 3.) 93 4.) 77 5.) 105 6.) 286 7.) 517 8.) 1054 II/. Determine if the following is a prime factor for 462. 1.) 2 2.) 11 = = 3.) 13 4.) 42 = =
5 III/. Express the following as the product of the multiplication factorsfor the following numbers. 1.) 12 2.) 75 3.) 36 4.) 42 c.) Common Factors and Highest Common Factors I/. List common factors for 1.) 14, 20 2.) 25, 35 3.) 37, 56
6 4.) 45, 63 5.) 29, 35 6.) 24, 106 7.) 20, 30, 40 8.) 18, 28, 38
7 9.) 6, 12 ,54 10.) 18, 64, 2 II/. State whether this number is a common factor for the following numbers. 1.) 3 : 16, 18 2.) 4 : 48, 52 = = 3.) 6 : 84, 68 4.) 9 : 135, 171 = = 5.) 23 : 253, 322 6.) 36 : 502, 612 = = 7.) 3 : 12, 18, 19 8.) 7 : 35, 91, 105 = = III/. Highest Common Factors HCF. Find HCF for the following. 1.) 12, 18 2.) 31, 42 3.) 27, 72 4.) 60, 108
8 5.) 84, 126 6.) 6, 18, 48 7.) 25, 50, 65 8.) 105, 210, 315 9.) 28, 36 10.) 6, 12 11.) 28, 84 12.) 24, 100 13.)18, 24, 36 14.) 28, 84, 156
9 C. Multiples, Common Multiplies and Lowest Common Multiplie (LCM) a.) Multiplies I/. List multiples of these numbers (5 multiples) 1.) 2 2.) 3 = = 3.) 7 4.) 15 = = 5.) 120 6.) 1300 = = II/. Determine whether the following numbers are multiples of 3, 4, 5, 8, 9. 1.) 135 2.) 87 3.) 110 4.) 162
10 5.) 525 6.) 710 7.)2430 III/. Determine equally (i) 1728 and (ii) 2520 are multiples of these numbers. 1.) 4 2.) 15 3.) 18 4.) 34 b.) Common multiplies I/. Find 3 common multiples for 1.) 2, 3, 6
11 2.) 3, 8, 12 3.) 3, 5 4.) 6, 15 5.) 5, 7 6.) 4, 5 7.) 2, 3, 4
12 8.) 3, 5, 7 9.) 2, 6, 8 10.) 3, 5, 10 II/. Determine whether 108 is the common multiple of these numbers. 1.) 2, 3 2.) 4, 6 3.) 5, 7 4.) 8, 9 III/. Determine if these numbers are common multiples of 2 and 8. 1.) 576 2.) 2301
13 3.) 5184 4.) 13818 c.) Lowest Common Multiple (LCM). Find the LCM for these numbers. 1.) 2, 4, 5 2.) 3, 8 3.) 7, 49 4.) 2, 3, 7 5.) 6, 14 6.) 12, 19 7.) 30, 35 8.) 42, 52
14 9.) 6, 9, 15 10.) 9, 11, 18 11.) 20, 25, 30 12.) 24, 36, 40