Class 6 Maths Worksheet: Prime Time (Prime Numbers, Factors & Multiples)

Class 6 Maths Worksheet: Prime Time (Prime Numbers, Factors & Multiples)

📘 Class 6 Maths Worksheet

Topic: Prime Time (Prime Numbers, Factors & Multiples)

Name: ____________ Class: 6 Date: ____________

✏️ Section A: Multiple Choice Questions (MCQs)

  1. Which of the following is a prime number?
    a) 21
    b) 29
    c) 39
    d) 51
  2. The smallest prime number is:
    a) 0
    b) 1
    c) 2
    d) 3
  3. Which number is divisible by only 1 and itself?
    a) Prime number
    b) Composite number
    c) Even number
    d) Odd number
  4. How many factors does a prime number have?
    a) 1
    b) 2
    c) 3
    d) Many
  5. Which of the following is composite?
    a) 11
    b) 13
    c) 15
    d) 17

✏️ Section B: Fill in the Blanks

  1. The only even prime number is __________.
  2. A number with more than two factors is called __________.
  3. The first five prime numbers are __________.
  4. 1 is neither __________ nor __________.
  5. Prime factorisation breaks a number into __________ numbers.

✏️ Section C: True or False

  1. 2 is a prime number. (______)
  2. 9 is a prime number. (______)
  3. Every even number is composite. (______)
  4. 17 has only two factors. (______)
  5. 1 is a prime number. (______)

✏️ Section D: Short Answer Questions

  1. Write all prime numbers between 1 and 20.
  2. Write the factors of 24.
  3. Write the prime factorisation of 36.
  4. Is 49 a prime or composite number? Why?
  5. Find two prime numbers whose sum is 18.

✏️ Section E: Word Problems

  1. A box has 15 chocolates. Can they be arranged in a single row in a prime number of ways? Explain.
  2. Find the smallest number that is divisible by both 2 and 3.
  3. Write the first 4 multiples of 6.
  4. A number has exactly 3 factors. Is it prime or composite? Give one example.
  5. Find the HCF of 12 and 18 using prime factorisation.
  1. Write a 2-digit prime number that ends in 7.

✅ Answer Key

✏️ Section A: MCQs

  1. b) 29
  2. c) 2
  3. a) Prime number
  4. b) 2
  5. c) 15

✏️ Section B: Fill in the Blanks

  1. 2
  2. Composite number
  3. 2, 3, 5, 7, 11
  4. prime, composite
  5. prime numbers

✏️ Section C: True or False

  1. True
  2. False
  3. False
  4. True
  5. False

✏️ Section D: Short Answers

  1. Prime numbers between 1 and 20:
    2, 3, 5, 7, 11, 13, 17, 19
  2. Factors of 24:
    1, 2, 3, 4, 6, 8, 12, 24
  3. Prime factorisation of 36:
    36 = 2 × 2 × 3 × 3 = 2² × 3²
  4. 49 is composite because
    49 = 7 × 7
  5. Two prime numbers whose sum is 18:
    5 + 13 = 18
    7 + 11 = 18

✏️ Section E: Word Problems

  1. No, because 15 has 4 factors (1, 3, 5, 15) and 4 is not a prime number.
  2. 6
  3. First 4 multiples of 6:
    6, 12, 18, 24
  4. It is composite. Example:
    4 (1, 2, 4) or 9 (1, 3, 9)
  5. HCF of 12 and 18:
    12 = 2² × 3
    18 = 2 × 3²
    HCF = 2 × 3 = 6
  1. Any one valid answer:
    17, 37, 47, 67, 97