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 divisorsPrime numbersSquares of integersRules of divisorsOdd/even numbersTesting cases Greatest common divisor (GCD)Least common multiple (LCM)The GCD-LCM formulaProperties of consecutive integersRemainders

## GMAT INTEGER PROPERTIES VIDEOS

• 1. Lesson: Introduction to Divisibility (6:35)
• 2. Question: Number of Divisors (1:21)
• 3. Lesson: Divisibility Rules (7:03)
• 4. Question: N=5314+k (3:28)
• 5. Lesson: Prime Numbers (1:49)
• 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. Question: 6 a divisor of x (3:18)
• 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)
• 17. Lesson: The GCD-LCM Formula (2:07)
• 18. Lesson: Even and Odd Integers (9:09)
• 19. Question: Is x Odd? (2:43)
• 20. Lesson: Testing Possible Cases (5:44)
• 21. Question: What Must Be True? (1:44)
• 22. Lesson: Consecutive Integers (4:59)
• 23. Lesson: Introduction to Remainders (6:45)
• 24. Question: Quotient is x (3:56)
• 25. Question: Not divisible by 6 (5:10)
• 26. Lesson: Integer Properties Strategies (4:01)
• 27. Question: w and k are Integers (2:44)
• 28. Question: Is n Even? (1:45)
• 29. Question: GCD of x and y (3:08)
• 30. Question: 12 is a divisor of n (2:43)
• 31. Question: Are w, x and y Consecutive? (2:24)
• 32. Question: K Divided by 67 (4:48)
• 33. Question: Is k Divisible by 18? (3:28)
• 34. Question: 2N Divided by D (3:39)
• 35. Question: Divisible by 3 (2:48)
• 36. Question: Divisor of 86420 (2:47)
• 37. Question: Remainder when Divided by 7 (3:32)
• 38. Question: GCD of J and K (5:17)
*To view more free GMAT prep videos, please see individual lesson modules
Total viewing time for the GMAT Integer Properties module: 152 minutes.

Problem Solving (level of difficulty: 350 to 500)

Rhyming primes (prime numbers)

Prime factors (prime factorization)

Product wxyz (prime factorization)

Even and odd m-values (integer properties, strange operators)

Problem Solving (level of difficulty: 500 to 650)

NOT a divisor of x (divisibility, algebra)

Must be divisor of n  (divisibility, remainders)

Multiple of 990 (divisibility)

GCD of 35x and 20y (divisibility)

Prime factors (divisibility)

Number of zeros (prime factorization)

Bag of chips (prime factorization)

Problem Solving (level of difficulty: 650 to 800)

Possible values of 2x + y (remainders)

Smallest value of x+y+z (remainders)

x is a factor of 2y (divisibility)

From 10! to 10! + 20 (divisibility)

Data Sufficiency (level of difficulty: 350 to 500)

Looking for an even product (integer properties)

Checking whether b is negative  (divisibility, powers)

Is 4 + n/6 an integer? (divisibility)

Find the value of r (remainders)

Data Sufficiency (level of difficulty: 500 to 650)

Is x a multiple of y? (divisibility)

Looking for an integer (divisibility)

Is z even? (divisibility)

When k is divided by 10  (divisibility)

Find value of K (divisibility)

Value of xy (divisibility)

Is N odd? (integer properties, divisibility)

Is n divisible by 6? (divisibility)

Looking for a prime (divisibility)

Data Sufficiency (level of difficulty: 650 to 800)

Product divisible by 8  (divisibility, probability)

Integer root (integer properties, roots)

Value of positive integer m (divisibility, remainders)

GCD of m and n (divisibility)

Multiple of 18 (divisibility)

Is y prime? (divisibility)

## Practice from the Official Guides

Official Guide for GMAT Review (2016 edition)

Problem Solving: 35, 38, 43, 48, 93, 96, 106, 108, 118, 132, 140, 141, 143, 151, 177, 190, 209, 222, 223

Data Sufficiency: 3, 9, 31, 36, 60, 72, 99, 102, 121, 125, 149, 174

Official Guide for GMAT Review (2015/13th 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

Track your progress by entering answers directly into our free, downloadable Improvement Chart for the Official Guide 2016 edition or the Official Guide 2015/13th edition.