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Integer Properties Strategies



Summary
The content provides a comprehensive guide on strategies for tackling integer questions on the GRE, emphasizing the importance of understanding integer properties, prime factorization, and developing mathematical intuition.
  • Ensure variables are indeed integers before applying integer properties, as the GRE often sets traps with variable representation.
  • Consider all categories of numbers, including zeros and negatives, and remember the interchangeable ways to talk about factors and the significance of prime numbers.
  • Prime factorization is crucial for solving problems involving large numbers, and memorizing perfect squares can save time.
  • For finding the greatest common factor or least common multiple, remember to cancel before multiplying to avoid mistakes.
  • Developing number sense and mathematical intuition is more effective than memorizing procedures, especially for questions about even and odd numbers or consecutive numbers.
Chapters
00:01
Understanding Integer Properties
00:09
Strategies for Dealing with Integers
02:08
Prime Numbers and Prime Factorization
04:19
Developing Mathematical Intuition