Factors & Multiples — Quiz 2

Questions in this quiz (13)

1. Determine the prime factorization of 3564.

   • $$2^2 \times 3^4 \times 11$$
   • $$2^3 \times 3^2 \times 11$$
   • $$2^2 \times 3^3 \times 11^2$$
   • $$2^4 \times 3^4 \times 11$$

2. Find the least common multiple of the following three numbers: 84, 120, and 150.

   • 8400
   • 940
   • 4200
   • 840

3. Determine the least common multiple of the following two numbers: 45, 75, and 100.

   • 900
   • 3375
   • 7500
   • 4500

4. Find the greatest common factor (GCF) of the following two numbers: 432 and 576.

   • 144
   • 18
   • 48
   • 72

5. Determine the greatest common factor (GCF) of these three numbers: 48, 180, and 300.

   • 6
   • 12
   • 4
   • 15

6. How many different positive integers are factors of both 36 and 60?

   • 3
   • 9
   • 6
   • 5

7. What is the largest prime factor of 156?

   • 13
   • 27
   • 11
   • 31

8. What is the greatest common factor (GCF) of the expression: $$84x^2y^3+42x^3y^2$$

   • $$14xy^2$$
   • $$42x^2y^2$$
   • $$42xy^2$$
   • $$84x^3y^3$$

9. Which of the following expressions below is a factor of:$$3x^3+12x^2-27x$$I. $$x^2+3x+9$$II. $$x$$III. $$x+3$$

   • I only
   • II, III only
   • I, III only
   • II only

10. If $$q$$ is a prime number, how many factors does $$a^4$$ have?

    • 2
    • 3
    • 5
    • 4

11. Highest common factor of two numbers is $$12$$ and their lowest common multiple is $$252$$. If one of them is $$84$$, then find the sum of both numbers.

    • 120
    • 34
    • 86
    • 68

12. The least number which when increased by $$7$$ is exactly divisible by $$8$$, $$14$$, $$24$$, and $$36$$ is:

    • 490
    • 504
    • 511
    • 497

13. Highest common factor (HCF) of the largest 4-digit number and the largest 5-digit number is:

    • 1
    • 9
    • 99
    • 3