Number Properties Puzzle – Challenge 8
This is a great math challenge about number properties. This math puzzle is a great refresher for those who love mathematics and critical thinking challenges. Let's challenge your brain!
Challenge:
The number 10 has four different factors: 1, 2, 5, 10. What is the smallest 2 digits number that has exactly three positive factors?
The Absolute Best Book to challenge your Smart Student!
The correct answer is 25.
Each prime number has exactly 2 factors, 1 and the number itself. To find the smallest 2 digits number, n, that has exactly three positive factors, we need to find an odd perfect square number. Why?
The factors of number n are 1, n and a prime number. Let’s consider the smallest prime numbers:
2: If 2 is a factor of n, then n should be 4 (1×2×2). This is not the answer. Since, n should be a 2 digits number.
3: If 3 is a factor of n, then n should be 9 (1×3×3). This is not the answer!
5: If 5 is a factor of n, then n should be 25 (1×5×5). Bingo!The Absolute Best Books to Ace Algebra
Original price was: $29.99.$19.99Current price is: $19.99.Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students
Related to This Article
More math articles
- How to Understand the Properties of Isosceles and Equilateral Triangles
- How to Find the Area of Composite Shapes?
- How long Is the ACCUPLACER Test?
- 5th Grade ISASP Math Worksheets: FREE & Printable
- Exploring Line and Rotational Symmetry
- 3rd Grade ILEARN Math Worksheets: FREE & Printable
- Integrals: Everything You Need To Know
- Long Division: How to Deconstruct complex Integrals
- Top 10 Tips to Retake GED Math Test
- 6th Grade SBAC Math Practice Test Questions
What people say about "Number Properties Puzzle – Challenge 8 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.