Playing with Numbers
This interactive chapter allows students to explore the fun side of numbers by checking **divisibility rules**, finding **factors**, identifying **prime and composite** numbers, and performing **prime factorization**.
Key Topics & Instructions
▼- Define and find factors and multiples.
- Differentiate between prime and composite numbers.
- Apply divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10, and 11.
- Determine prime factorization using a factor tree.
- Calculate HCF and LCM.
- Enter a number in Experiment 1 to instantly check its divisibility status.
- Use Experiment 2 to find the Prime Factorization of a number.
Experiment 1: Divisibility Rule Checker
Input a number (up to 6 digits) and check if it is divisible by common numbers (2 to 11).
Experiment 2: Prime Factorization Finder
Enter a number to find its prime factors.
A **Prime Number** has exactly two factors: 1 and the number itself (e.g., 2, 3, 5, 7, 11). A **Composite Number** has more than two factors (e.g., 4, 6, 8, 9, 10). The number **1** is neither prime nor composite.
Divisibility Rule for 11
A number is divisible by 11 if the difference between the sum of its digits at **odd places** (from the right) and the sum of its digits at **even places** (from the right) is either **0** or a **multiple of 11**.
Example: For 121, Sum of Odd Places (1+1)=2. Sum of Even Places (2)=2. Difference = $2 - 2 = 0$. Thus, 121 is divisible by 11.


