1.
Find the factors of 32.
Correct Answer
B. 1, 2, 4, 8, 16, 32
Explanation
The factors of a number are the numbers that can be multiplied together to get that number. In this case, the factors of 32 are 1, 2, 4, 8, 16, and 32. These numbers can be multiplied in different combinations to equal 32. For example, 2 multiplied by 16 equals 32, or 4 multiplied by 8 equals 32. Therefore, the given answer of 1, 2, 4, 8, 16, 32 is correct.
2.
Simplify
Correct Answer
C. 27
Explanation
The given numbers 9, 3, 27, and 6 are all multiples of 3. However, only 27 is not divisible by 9. Therefore, the number 27 is the only one that cannot be simplified further by dividing it by 9, making it the correct answer.
3.
Which of the following numbers is prime?
Correct Answer
D. 13
Explanation
A prime number is a number that is only divisible by 1 and itself. Among the given numbers, 13 is the only one that meets this criteria. 18 is divisible by 1, 2, 3, 6, 9, and 18. 9 is divisible by 1, 3, and 9. 68 is divisible by 1, 2, 4, 17, 34, and 68. Therefore, the only prime number among the options is 13.
4.
Find the Least Common Multiple (LCM) of 9 and 12.
Correct Answer
D. 36
Explanation
Make sure you don't mix up LCM with GCF.
Multiples of 9: 9, 18, 27, 36, 45...
Multiples of 12: 12, 24, 36, 48...
Least common multiple = 36
5.
Simplify
Correct Answer
B. 88
6.
Simplify
Correct Answer
A. 256
Explanation
Remember to watch your signs
-4 x -4 x -4 x -4
16 x -4 x -4
-64 x -4
256
7.
Find the greatest common factor (GCF) of 12 & 15.
Correct Answer
D. 3
Explanation
The greatest common factor (GCF) is the largest number that divides evenly into both 12 and 15. To find the GCF, we can list the factors of both numbers and find the largest number that appears in both lists. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 15 are 1, 3, 5, and 15. The largest number that appears in both lists is 3, so the GCF of 12 and 15 is 3.
8.
Simplify
Correct Answer
A. 3
9.
Write the prime factorization for 60.
Correct Answer
C. 2 x 2 x 3 x 5
Explanation
Remember to use a factor tree.
10.
Do you know how to draw a factor tree? There will be one on the quiz.
Correct Answer
A. Yes
Explanation
The question asks whether the person knows how to draw a factor tree and states that there will be one on the quiz. The answer "Yes" indicates that the person does know how to draw a factor tree.
11.
Write 6 x 6 x 6 x 6 x 6 as an exponent.
Correct Answer
C.
Explanation
To write 6 x 6 x 6 x 6 x 6 as an exponent, we need to determine the number of times 6 is multiplied by itself. In this case, 6 is multiplied by itself 5 times. Therefore, 6 x 6 x 6 x 6 x 6 can be written as 6^5, which equals 7776.