Algebra Puzzle – Critical Thinking 15
Critical thinking challenges like this one can be as much a part of a math class as learning concepts, computations, and formulas.
What is the smallest positive integer p such that 1080p is a perfect cube number?
The Absolute Best Book to challenge your Smart Student!
The correct answer is 25.
First, find the factor of 1080p. The prime factors of 1080p are:
In order for \(2^3×3^3×5×p\) to be a perfect cube, each prime factor must come in sets of triples. Since, we have \(2^3×3^3×5\), thus, we only need to change 5 to \(5^3\). Therefore, p equals to \(5^2\) or 25.
Related to This Article
More math articles
- 3rd Grade FSA Math FREE Sample Practice Questions
- Top 10 GED Math Prep Books to buy! (2023 Picks)
- 10 Most Common 6th Grade Georgia Milestones Assessment System Math Questions
- SAT versus PSAT: What You Need to Know
- Different Question Types on the ACT Math Test
- How to use Intercepts
- Using Number Lines to Subtract Integers
- The Ultimate MCAS Algebra 1 Course (+FREE Worksheets)
- Bеѕt Lарtорѕ for Teachers
- 6th Grade MAP Math Worksheets: FREE & Printable
What people say about "Algebra Puzzle - Critical Thinking 15"?
No one replied yet.