GMAT Integer Properties | GMAT Prep Now Online Course

GMAT Tip

If a question requires you to draw conclusions about expressions with even and odd numbers, consider creating a table to test the various cases.

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In the GMAT Integer Properties module, you will learn all of the concepts, techniques and strategies needed to answer integer properties questionson the GMAT. In particular, the GMAT Integer Properties module covers the following topics:

Divisibility and divisors
Prime numbers
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

GMAT INTEGER PROPERTIES VIDEOS

1. Lesson: Introduction to Divisibility (6:35)
2. Question: Number of Divisors (1:21) BUY
3. Lesson: Divisibility Rules (7:03) BUY
4. Question: N=5314+k (3:28) BUY
5. Lesson: Prime Numbers (1:49) BUY
6. Lesson: Prime Factorization (7:45) BUY
7. Question: Prime Divisors (2:07) BUY
8. Question: Greatest Integer n (2:02) BUY
9. Lesson: Counting the Divisors of Large Numbers (5:08) BUY
10. Lesson: Squares of Integers (4:01) BUY
11. Question: 2520k is a Perfect Square (1:55) BUY
12. Lesson: Divisor Rules (5:26) BUY
13. Question: 6 a divisor of x (3:18) BUY
14. Lesson: Greatest Common Divisor (GCD) (6:13)
15. Question: GCD of x and y is 12 (3:00)
16. Lesson: Least Common Multiple (LCM) (4:58) BUY
17. Lesson: The GCD-LCM Formula (2:07) BUY
18. Lesson: Even and Odd Integers (9:09) BUY
19. Question: Is x Odd? (2:43)
20. Lesson: Testing Possible Cases (5:44)
21. Question: What Must Be True? (1:44) BUY
22. Lesson: Consecutive Integers (4:59) BUY
23. Lesson: Introduction to Remainders (6:45) BUY
24. Question: Quotient is x (3:56) BUY
25. Question: Not divisible by 6 (5:10) BUY
26. Lesson: Integer Properties Strategies (4:01) BUY
27. Question: w and k are Integers (2:44) BUY
28. Question: Is n Even? (1:45) BUY
29. Question: GCD of x and y (3:08) BUY
30. Question: 12 is a divisor of n (2:43) BUY
31. Question: Are w, x and y Consecutive? (2:24) BUY
32. Question: K Divided by 67 (4:48) BUY
33. Question: Is k Divisible by 18? (3:28) BUY
34. Question: 2N Divided by D (3:39) BUY
35. Question: Divisible by 3 (2:48) BUY
36. Question: Divisor of 86420 (2:47) BUY
37. Question: Remainder when Divided by 7 (3:32) BUY
38. Question: GCD of J and K (5:17) BUY

Total viewing time for the GMAT Integer Properties module: 152 minutes.

Additional Practice

Practice the skills and GMAT-specific strategies you learned in this module by answering the following categorized questions for GMAT Integer Properties:

Official Guide for GMAT Review (13th edition)
Problem Solving: 5, 26, 40, 44, 74, 77, 87, 95, 110, 116, 117, 118, 127, 155, 174, 204, 218, 219, 221, 225

Data Sufficiency: 7, 14, 27, 32, 58, 72, 80, 83, 111, 135, 173

Official Guide for GMAT Review (12th edition)
Problem Solving: 3, 7, 23, 36, 40, 72, 82, 87, 106, 107, 110, 142, 159, 161, 182, 185, 198, 217, 219, 224

Data Sufficiency: 6, 12, 16, 17, 24, 41, 66, 73, 76, 82, 90, 106, 110, 128, 170, 171, 172

Official Guide for GMAT Quantitative Review (2nd edition)
Problem Solving: 31, 68, 78, 98, 109, 112, 125, 144, 147, 149, 164, 169, 172

Data Sufficiency: 3, 16, 20, 35, 39, 45, 64, 70, 78, 82, 86, 87, 90, 92, 110, 115

Track your progress by entering answers directly into our free, downloadable GMAT Prep Now Improvement Chart for the Official Guide (13th edition)

Improvement Chart for the Official Guide (12th edition)