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

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 (2015 edition or 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 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 (2015 edition or 13th edition)

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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