Geometry Puzzle – Critical Thinking 19
Critical thinking involves mindful communication. To develop your creative thinking, use this kind of math puzzle. The solution is also provided.
Challenge:
N and P are prime numbers. How many divisors N\(^2\) × P\(^4\) has?
The Absolute Best Book to Challenge Your Smart Student!
Original price was: $16.99.$11.99Current price is: $11.99.
Satisfied 123 Students
The correct answer is 15.
If p and q are prime numbers, then for p\(^m\)q\(^n\), the number of divisors is (m+1)(n+1).
Thus the number of divisors for N\(^2\) × P\(^4\) is (2+1)(4+1) = 15
Another way to solve this problem is by providing numbers for N and P. Let’s put 2 for N and 3 for P. Then, the value of N\(^2\) × P\(^4\) is 2\(^2\) × 3\(^4\) = 324
Now, find the factors of 324.
324: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
324 have 15 factors.
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
- Intelligent Math Puzzle – Challenge 92
- Top 10 Free Websites for CLEP College Math Preparation
- Top 10 7th Grade MEAP Math Practice Questions
- 5th Grade Common Core Math Practice Test Questions
- FTCE General Knowledge Math- Test Day Tips
- Benefits of Driving Electric Cars: Is It Cheaper?
- How to Master Motion: A Comprehensive Guide to Understanding the Distance Formula in Real-World Problems
- Best Online Math Tutoring Devices
- Unlock the Gateway to Academic Achievement: “OAR Math for Beginners” Comprehensive Solution Manual
- How to Use Area Models to Find Equivalent Fractions
What people say about "Geometry Puzzle – Critical Thinking 19 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.