Factors and Multiples Worksheet for Class 6

Factors and Multiples Worksheet for Class 6

Factors and Multiples Worksheet

Class 6 Mathematics

Name: _________________________
Date: _________________________
Roll No.: ______________________

Part A: Fill in the Blanks

  1. A factor of a number divides it without leaving any __________.
  2. Multiples of a number are obtained by __________ the number.
  3. Every number is a factor of __________.
  4. The smallest factor of any natural number is __________.
  5. The largest factor of any number is __________.
  6. The first five multiples of 8 are __________, __________, __________, __________, and __________.
  7. 12 is a factor of 36 because 36 ÷ 12 = __________.
  8. The first multiple of every number is the number itself: True / False
  9. Factors of a number are finite, while multiples are __________.
  10. 1 is a factor of __________ natural number.

Part B: Write All Factors

Find all the factors of:

  1. 10 = __________________________
  2. 12 = __________________________
  3. 15 = __________________________
  4. 18 = __________________________
  5. 20 = __________________________
  6. 24 = __________________________
  7. 28 = __________________________
  8. 30 = __________________________
  9. 32 = __________________________
  10. 36 = _________________________
  11. 40 = _________________________
  12. 42 = _________________________
  13. 45 = _________________________
  14. 48 = _________________________
  15. 50 = _________________________

Part C: Write the First 10 Multiples

  1. 3 : ___________________________________________
  2. 4 : ___________________________________________
  3. 5 : ___________________________________________
  4. 6 : ___________________________________________
  5. 7 : ___________________________________________
  6. 8 : ___________________________________________
  7. 9 : ___________________________________________
  8. 10 : __________________________________________
  9. 11 : __________________________________________
  10. 12 : _________________________________________

Part D: Multiple Choice Questions

  1. Which of the following is a factor of 24?
    a) 5 b) 6 c) 7 d) 11
  2. Which is a multiple of 9?
    a) 25 b) 36 c) 41 d) 52
  3. The number of factors of 1 is:
    a) 0 b) 1 c) 2 d) 3
  4. Which number is divisible by 5?
    a) 43 b) 67 c) 90 d) 81
  5. Which of the following is not a factor of 30?
    a) 2 b) 3 c) 8 d) 5
  6. A multiple of 12 is:
    a) 36 b) 35 c) 34 d) 31
  7. Which number has 10 as a factor?
    a) 35 b) 50 c) 33 d) 47
  8. Factors of a number can be:
    a) Infinite b) Limited c) Negative only d) Decimal only
  9. The first multiple of 15 is:
    a) 0 b) 1 c) 15 d) 30
  10. Which is a common factor of 18 and 24?
    a) 5 b) 6 c) 7 d) 9

Part E: True or False

  1. Every number is a multiple of itself. ______
  2. 7 is a factor of 49. ______
  3. 18 is a multiple of 4. ______
  4. Factors of a number are always less than or equal to the number. ______
  5. Multiples can continue forever. ______
  6. 1 is a factor of every number. ______
  7. 15 is a factor of 75. ______
  8. 24 is a multiple of 8. ______
  9. 13 has only two factors. ______
  10. 20 is a multiple of 3. ______

Part F: Find Common Factors

  1. 12 and 18 = ____________________
  2. 16 and 24 = ____________________
  3. 20 and 30 = ____________________
  4. 15 and 25 = ____________________
  5. 18 and 27 = ____________________
  6. 24 and 36 = ____________________
  7. 28 and 42 = ____________________
  8. 32 and 48 = ____________________
  9. 35 and 49 = ____________________
  10. 40 and 60 = ___________________

Part G: Word Problems

  1. Riya has 24 chocolates. She wants to arrange them into equal groups without any chocolates left over. Write all possible group sizes.
  2. A teacher asks students to count by 6s. Write the first 12 multiples of 6.
  3. A gardener has 36 plants. He wants to arrange them in equal rows. Find all possible numbers of rows.
  4. Two bells ring every 4 minutes and 8 minutes respectively. Write the first five common multiples of 4 and 8.
  5. A shopkeeper packs 30 biscuits equally into packets. Find all possible packet sizes.

Challenge Section

  1. Write all factors of 72.
  2. Find the first 15 multiples of 14.
  3. List all common factors of 48 and 60.
  4. Which number has more factors: 24 or 36?
  5. Find three numbers whose common factor is 5.
  6. Write all factors of 84.
  7. Find the first 12 multiples of 17.
  8. Find the common factors of 54 and 72.
  9. Write all factor pairs of 100.
  10. Find the first 10 common multiples of 3 and 5.

Factors and Multiples Worksheet – Answer Key

Part A: Fill in the Blanks

  1. remainder
  2. multiplying
  3. itself
  4. 1
  5. the number itself
  6. 8, 16, 24, 32, 40
  7. 3
  8. True
  9. infinite
  10. every

Part B: Write All Factors

  1. 10 = 1, 2, 5, 10
  2. 12 = 1, 2, 3, 4, 6, 12
  3. 15 = 1, 3, 5, 15
  4. 18 = 1, 2, 3, 6, 9, 18
  5. 20 = 1, 2, 4, 5, 10, 20
  6. 24 = 1, 2, 3, 4, 6, 8, 12, 24
  7. 28 = 1, 2, 4, 7, 14, 28
  8. 30 = 1, 2, 3, 5, 6, 10, 15, 30
  9. 32 = 1, 2, 4, 8, 16, 32
  10. 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
  11. 40 = 1, 2, 4, 5, 8, 10, 20, 40
  12. 42 = 1, 2, 3, 6, 7, 14, 21, 42
  13. 45 = 1, 3, 5, 9, 15, 45
  14. 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
  15. 50 = 1, 2, 5, 10, 25, 50

Part C: First 10 Multiples

  1. 3 → 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
  2. 4 → 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
  3. 5 → 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
  4. 6 → 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  5. 7 → 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
  6. 8 → 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
  7. 9 → 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
  8. 10 → 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
  9. 11 → 11, 22, 33, 44, 55, 66, 77, 88, 99, 110
  10. 12 → 12, 24, 36, 48, 60, 72, 84, 96, 108, 120

Part D: MCQs

  1. b) 6
  2. b) 36
  3. b) 1
  4. c) 90
  5. c) 8
  6. a) 36
  7. b) 50
  8. b) Limited
  9. c) 15
  10. b) 6

Part E: True or False

  1. True
  2. True
  3. False
  4. True
  5. True
  6. True
  7. True
  8. True
  9. True
  10. False

Part F: Common Factors

  1. 12 and 18 → 1, 2, 3, 6
  2. 16 and 24 → 1, 2, 4, 8
  3. 20 and 30 → 1, 2, 5, 10
  4. 15 and 25 → 1, 5
  5. 18 and 27 → 1, 3, 9
  6. 24 and 36 → 1, 2, 3, 4, 6, 12
  7. 28 and 42 → 1, 2, 7, 14
  8. 32 and 48 → 1, 2, 4, 8, 16
  9. 35 and 49 → 1, 7
  10. 40 and 60 → 1, 2, 4, 5, 10, 20

Part G: Word Problems

  1. Group sizes for 24 chocolates:
    1, 2, 3, 4, 6, 8, 12, 24
  2. First 12 multiples of 6:
    6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
  3. Possible rows for 36 plants:
    1, 2, 3, 4, 6, 9, 12, 18, 36
  4. First five common multiples of 4 and 8:
    8, 16, 24, 32, 40
  5. Packet sizes for 30 biscuits:
    1, 2, 3, 5, 6, 10, 15, 30

Challenge Section

  1. Factors of 72:
    1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
  2. First 15 multiples of 14:
    14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210
  3. Common factors of 48 and 60:
    1, 2, 3, 4, 6, 12
  4. 36 has more factors than 24.
    Factors of 24 = 8
    Factors of 36 = 9
  5. Example:
    15, 25, 35
  6. Factors of 84:
    1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
  7. First 12 multiples of 17:
    17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204
  8. Common factors of 54 and 72:
    1, 2, 3, 6, 9, 18
  9. Factor pairs of 100:
    (1,100), (2,50), (4,25), (5,20), (10,10)
  10. First 10 common multiples of 3 and 5:
    15, 30, 45, 60, 75, 90, 105, 120, 135, 150