# [NEW] Mathematics Form 1-Chapter 2 Factors and Multiples -Prime Number, Factors, Prime Factors, CF, HCF -Multiples, CM, LCM KBSM of form 1 chp 2

7 Nov 2019
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### [NEW] Mathematics Form 1-Chapter 2 Factors and Multiples -Prime Number, Factors, Prime Factors, CF, HCF -Multiples, CM, LCM KBSM of form 1 chp 2

• 1. 1 | P a g e Mathematics- Form 1 - Chapter 2 - Factors and Multiples -Prime Number, Factors, Prime Factors, CF, HCF, Multiples, CM, LCM A. Pattern of a Number Sequence 1. A sequence in a list numbers following a certain pattern. 2. Each number is called a term of the sequence. 3. Complete the sequence and describe the patternsofeach ofthe following sequences. (e) 28, 24, _____,16, 12, _____ (f) 1, 3, _____,27, _____,243 B. Constructing a Sequence 1. A sequence can be formed if the pattern is given. 2. Construct a five number sequence for each of the following. (a) Starting with 7, add 6 to the number before it. (b) Starting with 2, multiply the number before it by 4. (c) Starting with 6 250, divide the number before it by 5. C. ODD NUMBERS AND EVEN NUMBERS
• 2. 2 | P a g e -Determining Odd Numbers and Even Numbers 1. Even numbers are numbers that can be divided by 2 exactly. For example:- 2, 4, 6, 8, 10,.... 2. Odd numbers are numbers that cannot be divided by 2 exactly. For example:- 1, 3, 5, 7, 9,... 3. 0 is neither odd nor even. 4. State whether each of the following numbers is an even number. (a) 17 (c) 44 (b) 60 (d) 95 5. State the first five odd numbers. - __________________________________ 6. State the first five even numbers. - __________________________________ 7. State all the odd numbers between 50 and 65. -___________________________ 8. State all the even numbers between 85 and 100. -__________________________ 9. Determine whether the answer for each of the following is an odd or even number. (a) 5 + 7 (b) 7 – 4 (c) 8 x 8 D. Prime Numbers
• 3. 3 | P a g e 1. A prime number is a whole number that can only be divided by itself and 1. 2. Prime number is cannot be divisible/divided by many number. 3. Thus, 2, 3, 5, 7, 11, 13, 17,... are prime numbers. 4. The first prime number is 2. 5. To determine whethera given numberis a prime number,carry out the following steps. Steps 1: Divide the given number by prime numbers whose squares are less than it. Steps 2: If the given number cannot be divided exactly by all the prime numbers, than it is a prime number. 6-Determine whether each of the following is a prime numbers or not. (a) 45 (b) 73 7-List all the prime numbers between 30 and 60. ____________________________________________________________ 8-Find the sumof all the prime numbers which are less than 10. ____________________________________________________________ 9-Find and Highlight all the prime numbers between 1 to 100. 10-State all the prime numbers which are less than 100. ____________________________________________________________ E. Factors
• 4. 4 | P a g e 1. Factor is not prime number. 2. Factors can be divisible/divided by many number. 3. Example 12 = 1x12 = 2x6 = 3x4 -____________________________________________________________ 4. List of factor from 4 to 20. -____________________________________________________________ 5. Example of 15 = = -____________________________________________________________ 6. Example of 9 = = -____________________________________________________________ 7. Example of 18 = = = -____________________________________________________________ 8. Complete the multiplication. 30 = 6 x __ 96 = __ x 24 100 = 5 x__ 144 = 3 x 12 x __ 48 = 6 x __ 56 = __ x 4 9. Determine whether 4 is a factor of the following number: 16 48 58 118 1034 2229 4768 1285 10. Which is factors :
• 5. 5 | P a g e 11 19 27 53 71 89 98 100 F. Multiples G. Prime Factors
• 6. 6 | P a g e ---Factors 里的 Prime Numbers. Example 1: Find out the prime factors of 12 Factors of 12: 1, 2, 3, 4, 6, 12 -Prime number on these number is 2, 3 -Non – prime number is 4, 6, 12 -1 not prime number of factor. ∴The prime factors of 12 is 2, 3. Example 2: Find out the prime factors of 20 Factors of ___: -Prime Number: -Non-prime number: ∴The prime factors of 20 is ___________. 1) List all the prime factors: 36 50 78 88 100 124 329 555 1002 2) 91 = Y x Z (Y and Z is prime number).
• 7. 7 | P a g e Find the prime number and calculate the sumbetween Y and Z. 3) 10 = A x B (A and B is prime number). Find the prime number and calculate the difference between A and B. 4) 99 = P and Q (P and Q is prime number). Find the prime number and calculate the sumbetween P and Q. 5) 33 = P and Q (P and Q is prime number). Find the prime number and calculate the difference between P and Q. Small Notes: + - × ÷ ∴ PT3 Test
• 8. 8 | P a g e Number Patters and Sequences (Factors and Multiples) 1. Write the patterns of the following sequences.(8 marks) a)2,5,8,11,14:________________________ b)74,65,56,47,38:_____________________ c)4,24,144,864,5184:__________________ d)15625,3125,625,125:________________ 2. Complete the following sequences. (20 marks) a) 2,9,16,____,____ b) 6,____,18,____ c) 5,____,20,40,____ d) 4617,1539,______,_____ e) 51,43,____,27,____ f) 3,6,__,__ or 3,6,__,__ g) 11,______,_____,8019,72171 h) 4,8,__,__ or 4,8,__,__ 3. Write the numbers of the following patters. (16 marks) a) Add 6 to the number before it. 18,__,__,__,__ b) Subtract 7 to the number before it. 198,__,__,__,__ c) Multiply 5 to the number before it. 7,__,__,__,__ d) Divide 3 to the number before it. 1996,__,__,__,__ 4. Find the sum of the first five odd numbers. (9 marks) a) List all even numbers between 20 and 35. b) List all odd numbers from 70 to 90. c) Find the first ten even numbers above 99. 5. State whether each of the following is a prime number or not. (10 marks) 17 37 29 83 38 100 51 123 79 262 6. Find the prime numbers between 20 and 65. (3 marks)
• 9. 9 | P a g e 7. Find the prime numbers from 75 to 100. (3 marks) 8. List all the factors of each of following numbers. (12 marks) 24 35 49 56 105 138 9. Determine whether each of following staments are true or false. (12 marks) a) 9 is a factor of 54 b) 6 is a factor of 114 c) 8 is a factor of 148 d) 12 is a factor of 220 e) 8 is a factor of 420 f) 7 is a factor of 301 10. Find the prime factors each of the following. (12 marks) 63 42 154 175 231 442 11. Determine whether each of the following staments are true or false. (8 marks)
• 10. 10 | P a g e a) 7 is a prime factor of 126 b) 3 is a prime factor of 135 c) 19 is a prime factor of 351 d) 61 is a prime factor of 488 12. List all the multiples of 6 between 30 and 65. (3 marks) 13. List the first four multiples of 12. (3 marks) 14. List all the multiples of 19 between 50 and 100. (3 marks) 15. List all the multiples of 25 below 100. (3 marks) Determine whether each of the following stament are true or false. (12 marks) 56 is a multiply of 4. 64 is a multiply of 8. 7 is a multiply of 7. 69 is a multiply of 6. 108 is a multiply of 9. 315 is a multiply of 15. PT3 - KBAT Question
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