Geometry Puzzle – Critical Thinking 19
Critical thinking involves mindful communication. To develop your creative thinking, use this kind of math puzzles. 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!
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.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
Related to This Article
More math articles
- 10 Most Common AFOQT Math Questions
- CLEP College Math Practice Test Questions
- FREE TABE Math Practice Test
- How to Graph Rational Functions?
- How to Find Discontinuities of Rational Functions?
- Ace the Math Subtests of the ASVAB Test
- The Ultimate 6th Grade NDSA Math Course (+FREE Worksheets)
- What Skills Do I Need for the SAT Math Test?
- How to Write a Good Mathematics Dissertation on a Top Mark?
- Best Cameras For Classroom Video Lectures And Online Lessons
What people say about "Geometry Puzzle - Critical Thinking 19"?
No one replied yet.