# 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.