STUDYECART Divisibility Rules Quiz
60s
Divisibility Rules Quiz
Test your ability to quickly identify divisible numbers from 2 to 13
25 Questions
With math formulas
Timed
60s per question
Math Ready
Perfect formula rendering
Why Divisibility Rules Matter for Competitive Exams
Mastering divisibility rules helps quickly solve problems in:
- Number simplification: $1230$ is divisible by $10$ (ends with 0)
- Prime factorization: $72$ divisible by $8$ (last three digits $072 ÷ 8 = 9$)
- Algebraic expressions: $3x^2 + 9x$ always divisible by $3$
- Time-saving checks: Verify $594$ is divisible by $11$ without division
Divisibility by 7 Example
Check if 483 is divisible by 7:
Step 1: Double the last digit (3×2=6), subtract from remaining number:
$$48 - 6 = 42$$
Step 2: Check if result (42) is divisible by 7:
$$42 ÷ 7 = 6$$
Final Answer: $\boxed{\text{Yes, 483 is divisible by 7}}$
For more shortcuts, see our Divisibility Cheatsheet.
Master Divisibility Rules
These rules are essential for:
- Quick mental calculations in aptitude tests
- Simplifying fractions before operations
- Cryptography and number theory basics
Practice these problems:
1. Is $2,904$ divisible by $6$? (Use both $2$ and $3$ rules)
2. Find all divisors of $360$ using prime factorization
3. Prove why the "sum of digits" rule works for $9$
Explore Advanced Techniques.
Disclaimer: These examples demonstrate patterns. Always verify critical calculations.
