GRE Integer Properties

In this module, you'll learn all of the concepts, techniques and strategies needed to answer integer properties questions on the GRE. In particular, this module covers:

  • Divisors and divisibility
  • Primes
  • Squares of integers
  • Rules of divisors
  • Odd/even numbers
  • Testing cases
  • Greatest common divisor (GCD)
  • Least common multiple (LCM)
  • The GCD-LCM formula
  • Properties of consecutive integers
  • Remainders

 

GRE INTEGER PROPERTIES VIDEOS

  • 1. Lesson: Introduction to Divisibility (6:12)
  • 2. Question: Number of Divisors (1:21)
  • 3. Lesson: Divisibility Rules (7:03)
  • 4. Lesson: Prime Numbers (1:49)
  • 5. Question: Number of Primes (1:51)
  • 6. Lesson: Prime Factorization (7:45)
  • 7. Question: Prime Divisors (2:07)
  • 8. Question: Greatest Integer n (2:02)
  • 9. Lesson: Counting the Divisors of Large Numbers (5:08)
  • 10. Lesson: Squares of Integers (4:01)
  • 11. Question: 2520k is a Perfect Square (1:55)
  • 12. Lesson: Divisor Rules (5:26)
  • 13. Lesson: Greatest Common Divisor (GCD) (6:13)
  • 14. Question: GCD of x and y is 12 (3:00)
  • 15. Lesson: Least Common Multiple (LCM) (4:58)
  • 16. Lesson: The GCD-LCM Formula (2:07)
  • 17. Lesson: Even and Odd Integers (9:09)
  • 18. Lesson: Testing Possible Cases (5:28)
  • 19. Question: What Must Be True? (1:44)
  • 20. Lesson: Consecutive Integers (4:59)
  • 21. Lesson: Introduction to Remainders (6:45)
  • 22. Question: Quotient is x (3:56)
  • 23. Question: Not divisible by 6 (5:10)
  • 24. Lesson: Integer Properties Strategies (3:58)
  • 25. Question: w and k are Integers (2:44)
  • 26. Question: Least Common Multiple is 168 (1:17)
  • 27. Question: 12 is a divisor of n (2:43)
  • 28. Question: Also Prime (1:35)
  • 29. Question: K Divided by 67 (4:48)
  • 30. Question: Consecutive Integers p, q, r and s (2:15)
  • 31. Question: 2N Divided by D (3:39)
  • 32. Question: Divisible by 3 (2:48)
  • 33. Question: Divisor of 86,420 (2:47)
  • 34. Question: Remainder when Divided by 7 (3:32)
Total viewing time for the GRE Integer Properties module: 132 minutes.

Practice from the Official Guide

Practice the skills and GRE-specific strategies you learned in this module by answering the following questions from the Official Guide to the GRE (3rd edition):

  • 115(1), 126(2), 169(14), 232(3-7), 233(14-15)

 

Here are the related questions in the Official Guide to the GRE (1st or 2nd edition):

  • 110(1), 121(2), 159(14) 

 

Note: The above practice questions are listed in the form page#(question#). So, for example, 110(1) represents question #1 on page 110.

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