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 Name : __________________ Term : 1 Gr Grade : 7 Section :_________ Worksheet no : 2 Su Subject : Maths C.W/H.W Date : Prime and Composite numbers, Factors, Multiples, HCF, LCM Answers A. Write down the factors of the following. I.
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27 ­ 1,3,9,27 32 ­ 1,2,4,8,16,32 18 ­ 1,2,3,6,9,18 45 ­ 1,3,5,9,15,45 25 ­ 1,5,15 56 ­ 1,2,4,7,8,14,28,56 B. List all the factors of the following numbers and circle the prime numbers. I.
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66 ­ 1,2,3,6,11,22,33,66 75 ­ 1,3,5,15,25,75 28 ­ 1,2,4,7,14,28 48 ­ 1,2,3,4,6,8,12,16,24,48 120 ­ 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120 C. Find the prime factors of the following numbers. Express each number as a product of prime numbers. I.
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12 ­ 2 and 3 are the prime factors of 12. 12 = 2 x 2 x 3 64 ­ 2 is the prime factor of 64. 64 = 2 x 2 x 2 x 2 x 2 x 2 72 ­ 2 and 3 are the prime factors of 72. 72 = 2 x 2 x 2 x 3 x 3 x 3 80 ­ 2 and 5 are the prime factors of 80. 80 = 2 x 2 x 2 x 2 x 5 144 ­ 2 and 3 are the prime factors of 144. 144 = 2 x 2 x 2 x 2 x 3 x 3 D. Write down the first five multiples of the following: I.
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7 ­ 7,14,21,28,35 9 ­ 9,18, 27, 36, 45 5 ­ 5,10,15,20,25 8 ­ 8,16,24,32,40 12 ­ 12,24,36,48,60 15 ­ 15,30,45,60,75 E. Do as directed: A. Write down the multiples of 6 which are greater than 20 and less than 50. Ans­ 24,30,36,42,48 B. Write down all the prime numbers between 1 and 15. Ans­ 2,3,5,7,11,13 C. Write down all the composite numbers between 1 and 30. Ans­ 4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28 D. Choose prime numbers from the given set of numbers. 21, 31, 49, 59, 63, 73, 91, 97, 40, 56, 37 Ans. 31, 59, 73, 97, 37 E. Write down all the prime numbers between the following: (i) 31 and 50
(ii) 50 and 90 Ans. (i) 37,41,43,47 (ii) 53, 59, 61, 67, 71, 73, 79, 83, 89 F. Write down all the composite numbers between the following: (i) 40 and 50 Ans. 42,44,45,46,48,49 (ii) 75 and 90 Ans. 76,77,78,80,81,82,84,85,86,87,88 (iii) 25 and 35 26,27,28,30,32,33,34 (iv) 50 and 70 51,52,54,55,56,57,58,60,62,63,64,65,66,68,69 G. State whether the following statements are True/False. (i) 1 is a composite number. ­ False (ii) All the odd numbers are the prime numbers. ­ False (iii) A composite numbers has at least 3 factors. ­ True (iv) A number is the greatest factor of itself. ­ True (v) 1 is a factor of every number. ­ True (vi) The multiples of a number are limited. ­ False (vii) A prime number is always even. ­ False (viii) A number is either composite or prime. ­ False (ix) A prime number has only two factors. ­ True (x) Every multiple of a number is exactly divisible by the number. ­ True H.​
Find highest common factor of the following: I.
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48, 56, 72 Ans. 8 198, 360 Ans. 18 102, 68, 136 Ans. 34 1024, 576 Ans. 64 405, 783, 513 Ans. 27 84, 144 Ans. 12 120, 168 Ans. 24 430, 516, 817 Ans. 43 632, 790, 869 Ans. 79 291, 582, 776 Ans. 97 219, 1321, 2320, 8526 Ans. 1 I.​
Find lowest common multiple of the following numbers: I.
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16, 24, 40 Ans. 240 40, 56, 60 Ans. 840 207, 138 Ans. 414 72, 96, 120 Ans. 1440 120, 150, 135 Ans. 5400 102, 170, 136 Ans. 2040 J.​
Find the smallest possible integer which is exactly divisible by 15 and 25. Ans. 75 K.​
A florist has 30 lilies, 42 gerberas and 36 roses to make bouquets with. Each bouquet must be identical. What is the largest number of bouquets that can be made using all of the following? Ans. 6
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