Factors and Multiples

SSAT Factors and Multiples Drill 1

  1. Let x be an integer such that 41 < x < 60. What is the probability that x is divisible by 3 but NOT divisible by 2?

(A)   

(B)   

(C)   

(D)   

(E)   

  2. All of the following products are equal EXCEPT

(A)   1 ×

(B)   2 ×

(C)   3 ×

(D)   4 ×

(E)   5 ×

  3. If x + y is divisible by 7, which of the following is also divisible by 7?

(A)   xy + 7

(B)   x + 7y

(C)   7x + y

(D)   2x + 2y

(E)   

  4. How many integers between 12 and 36 are multiples of 3?

(A)   9

(B)   8

(C)   7

(D)   6

(E)   5

  5. What is the greatest common factor of 64 and 80?

(A)   4

(B)   6

(C)   8

(D)   16

(E)   20

SSAT Factors and Multiples Drill 2

  1. What is the least common multiple of 5, 6, and 7?

(A)   210

(B)   105

(C)   42

(D)   35

(E)   30

  2. A number that is a multiple of both 2 and 3 must have which of the following as one of its factors?

(A)   4

(B)   6

(C)   7

(D)   8

(E)   12

  3. Let x be an integer such that 21 < x < 43. What is the probability that x is divisible by BOTH 2 and 3?

(A)   

(B)   

(C)   

(D)   

(E)   

  4. To simplify the expression , each fraction must have a denominator of

(A)   2

(B)   4

(C)   7

(D)   14

(E)   28

  5. If x + y is a multiple of 11, which of the following must also be a multiple of 11?

(A)   11x + 11y

(B)   xy + 11

(C)   11x + y

(D)   x + 11y

(E)   

ISEE Factors and Multiples Drill 1

  1. If x is a factor of 16 and y is a factor of 28, which is the least value that xy could be a factor of?

(A)   448

(B)   112

(C)       2

(D)       1

  2. If a and b are prime numbers, what is the least common multiple of 12a, 15ab, and 6a²?

(A)   60a²b

(B)   60ab

(C)   12a²b

(D)   12ab

  3. If n is a positive integer, then the product of 14n and 15n is NOT necessarily divisible by which of the following?

(A)     5

(B)   10

(C)   12

(D)   21

  4. What is the sum of the prime factors of 34?

(A)   18

(B)   19

(C)   20

(D)   21

  5. What is the least common multiple of 24 and 32?

(A)   768

(B)     96

(C)     64

(D)       8

ISEE Factors and Multiples Drill 2

Directions: Using all information given in each question, compare the quantity in Column A to the quantity in Column B. All questions in Part Two have these answer choices:

(A)   The quantity in Column A is greater.

(B)   The quantity in Column B is greater.

(C)   The two quantities are equal.

(D)   The relationship cannot be determined from the information given.

 

 

  1.

 

  2.

 

  3.

 

  4.

 

  5.