Easy Level Worksheet

Part A: Subjective Questions - Very Short Answer (1 Mark Each)

Numbers have interesting properties! Understanding factors, multiples, and divisibility rules helps us work with numbers efficiently.

Let's explore the basic concepts of factors, multiples, prime numbers, and divisibility.

1. Define a factor of a number.

A factor is a number that divides another number exactlya multiple of a number.

Perfect! A factor divides a number completely without leaving any remainder.

2. Write any two even numbers between 20 and 30.

First even number: 22242628 (Note: Any even number between 20-30)

Second even number: 242628 (Note: Any other even number)

Excellent! Even numbers are divisible by 2.

3. What is the smallest prime number?

Answer:

Correct! 2 is the only even prime number.

4. Write the prime factorization of 36.

36 = 2² × 3²2³ × 3 or

Great! 36 = 2² × 3² = 2 × 2 × 3 × 3.

5. Find the unit digit of 85.

Unit digit =

Perfect! The unit digit is the last digit of a number.

Drag each number to its correct category:

Part A: Section B – Short Answer Questions (2 Marks Each)

1. Write all the factors of 24.

Factors of 24: , , , , , , , (Write in order)

Excellent! 24 has 8 factors in total.

2. Write first five multiples of 7.

Multiples: , , , ,

Perfect! Multiples are obtained by multiplying 7 by 1, 2, 3, 4, 5...

3. Check whether 245 is divisible by 5 and 10.

Unit digit of 245 =

Divisible by 5? YesNo (numbers ending in 0 or 5)

Divisible by 10? NoYes (only numbers ending in 0)

Great! 245 is divisible by 5 but not by 10.

4. If a number is divisible by 2 and 3, then by which number is it divisible?

Answer:

Correct! If divisible by both 2 and 3, it must be divisible by 6.

5. Check whether 318 is divisible by 2, 3, and 6.

Unit digit = (even), so divisible by

Sum of digits = 3 + 1 + 8 =

12 is divisible by 3, so 318 is divisible by

Since divisible by both 2 and 3, it's divisible by

Excellent! 318 is divisible by 2, 3, and 6.

Part B: Objective Questions - Test Your Knowledge!

Answer these multiple choice questions:

6. The number 408 is divisible by:

(a) 2 and 3 (b) 3 only (c) 6 only (d) 5 only

Correct! 408 is even (÷2) and sum of digits = 12 (÷3), so divisible by both 2 and 3.

7. Which number is even?

(a) 35 (b) 47 (c) 68 (d) 71

Perfect! 68 ends in 8 (even digit), so it's divisible by 2.

8. 81 is divisible by:

(a) 3 only (b) 9 (c) both 3 and 9 (d) 6

Excellent! 81 = 9 × 9, and since 81 is divisible by 9, it's also divisible by 3.

9. A number ends with 0, it is divisible by:

(a) 5 (b) 10 (c) both 5 and 10 (d) 2 only

Perfect! Numbers ending in 0 are divisible by both 5 and 10 (also by 2).

10. The smallest 2-digit prime number is:

(a) 10 (b) 11 (c) 13 (d) 17

Correct! 11 has only two factors (1 and 11) and is the smallest 2-digit prime.

🎉 Fantastic Work! You've Mastered Basic Number Properties!

Here's what you learned:

• Factors and Multiples:

  • Factor: A number that divides another number exactly
  • Multiple: Result of multiplying a number by integers
  • Example: Factors of 12 are 1, 2, 3, 4, 6, 12
  • Multiples of 5 are 5, 10, 15, 20, 25...

• Prime Numbers:

  • Numbers with exactly 2 factors (1 and itself)
  • Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
  • 2 is the smallest and only even prime number

• Even and Odd Numbers:

  • Even: Divisible by 2 (end in 0, 2, 4, 6, 8)
  • Odd: Not divisible by 2 (end in 1, 3, 5, 7, 9)

• Basic Divisibility Rules:

  Divisor	Rule
  2	Last digit is even (0, 2, 4, 6, 8)
  3	Sum of digits is divisible by 3
  5	Last digit is 0 or 5
  6	Divisible by both 2 and 3
  9	Sum of digits is divisible by 9
  10	Last digit is 0

• Prime Factorization:

  • Writing a number as a product of prime numbers
  • Example: 36 = 2 × 2 × 3 × 3 = 2² × 3²

• Unit Digit:

  • The last digit of a number
  • Important for divisibility by 2, 5, and 10

• Key Concepts:

  • If divisible by both 2 and 3 → divisible by 6
  • If divisible by both 2 and 5 → divisible by 10
  • Every number ending in 0 is divisible by 2, 5, and 10

Understanding these number properties makes calculations easier and helps solve problems faster!