1.
Which of the following numbers is a factor of 6 ?
Correct Answer
B. 2
Explanation
The number 2 is a factor of 6 because it can divide evenly into 6 without leaving a remainder. When 6 is divided by 2, the result is 3, which means that 2 is a factor of 6.
2.
Which of the following numbers is a multiple of 6 ?
Correct Answer
A. 12
Explanation
12 is a multiple of 6 because it can be divided evenly by 6. When 12 is divided by 6, the result is 2, which means that 6 can go into 12 exactly 2 times without any remainder. Therefore, 12 is a multiple of 6.
3.
Which of the following numbers is NOT a factor of 124 ?
Correct Answer
C. 3
Explanation
The number 3 is not a factor of 124 because it does not divide evenly into 124. Factors are numbers that divide into another number without leaving a remainder. In this case, 3 does not divide evenly into 124, so it is not a factor.
4.
Which choice below lists ALL the factors for the number 15 ?
Correct Answer
D. 1, 3, 5 and 15
Explanation
The factors of a number are the numbers that can divide it evenly without leaving a remainder. In this case, the number 15 can be divided by 1, 3, 5, and 15 without leaving a remainder. Therefore, the correct answer is 1, 3, 5, and 15.
5.
The number 3 is a factor of ALL of the following numbers EXCEPT what ?
Correct Answer
A. 8
Explanation
The number 3 is a factor of 12, 15, and 21 because each of these numbers can be divided by 3 without leaving a remainder. However, 8 cannot be divided evenly by 3, so it is not a factor of 8.
6.
Which of the numbers below is not composite?
Correct Answer
A. 73
Explanation
The number 73 is not composite because it is a prime number. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. In the given list, 21, 88, and 75 are all composite numbers because they have multiple positive divisors. However, 73 does not have any divisors other than 1 and itself, making it a prime number and the only number in the list that is not composite.
7.
Which number below is a factor of both 9 and 7 ?
Correct Answer
D. None of the above.
Explanation
A factor of a number is a number that divides evenly into that number. In this case, we need to find a number that can divide both 9 and 7 without leaving a remainder. However, none of the given options can do that. 7 is not a factor of 9, 3 is not a factor of 7, and 9 is not a factor of 7. Therefore, the correct answer is "None of the above."
8.
What number below is a prime number ?
Correct Answer
D. 17
Explanation
The number 17 is a prime number because it is only divisible by 1 and itself. It does not have any other factors.
9.
What number below is a prime number ?
Correct Answer
A. 29
Explanation
The number 29 is a prime number because it is only divisible by 1 and itself. It does not have any other factors.
10.
Which number below is NOT a prime ?
Correct Answer
C. 21
Explanation
A prime number is a number that is only divisible by 1 and itself. The numbers 3, 7, and 17 are prime numbers because they can only be divided by 1 and themselves. However, 21 is not a prime number because it can be divided by 1, 3, 7, and 21. Therefore, 21 is the number below that is NOT a prime number.
11.
Which of the following is not a multiple of 4?
Correct Answer
B. 2
Explanation
A multiple of 4 is any number that can be divided evenly by 4. In this case, 2 is not a multiple of 4 because it cannot be divided evenly by 4.
12.
Which of the following is not a factor of 4?
Correct Answer
C. 3
Explanation
The numbers 1, 2, and 4 are all factors of 4 because they divide evenly into 4 without leaving a remainder. However, 3 is not a factor of 4 because it does not divide evenly into 4.
13.
Which of the following is a multiple of 3?
Correct Answer
D. 33
Explanation
33 is a multiple of 3 because it can be divided evenly by 3 without leaving a remainder. This can be determined by checking if the sum of the digits in 33 is divisible by 3, which it is (3+3=6, and 6 is divisible by 3). Therefore, 33 is a multiple of 3.
14.
Which of the following numbers is a multiple of 9?
Correct Answer
D. 718,236
Explanation
The number 718,236 is a multiple of 9 because the sum of its digits (7+1+8+2+3+6) equals 27, which is divisible by 9.
15.
Which of the following numbers is even?
Correct Answer
C. 32
Explanation
An even number is divisible by 2 without leaving a remainder. In this case, only the number 32 is divisible by 2, making it the only even number among the options provided.
16.
Which of the following numbers is odd?
Correct Answer
B. 701
Explanation
The number 701 is odd because it cannot be divided evenly by 2. Odd numbers are always one less or one more than an even number, and in this case, 701 is one more than 700, which is an even number.
17.
Which of the following numbers is odd?
Correct Answer
D. 2n + 5
Explanation
The correct answer is 2n + 5. This is because when you add 5 to any number, if the number is even, the result will be odd. Therefore, 2n + 5 is the only option that guarantees an odd number.
18.
Which of the following numbers is even?
Correct Answer
A. 2n + 2
Explanation
The correct answer is 2n + 2. In this expression, the coefficient of 'n' is 2, which means it is a multiple of 2. Since any multiple of 2 is an even number, 2n + 2 will always be an even number.
19.
Which of the following is NOT a factor of 126?
Correct Answer
B. 4
Explanation
The number 126 can be divided evenly by 2, 3, and 9, but not by 4. Therefore, 4 is not a factor of 126.
20.
List the prime factors of 96.
Correct Answer
C. 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 3
Explanation
The prime factorization of 96 is 2 * 2 * 2 * 2 * 2 * 3. This means that 96 can be expressed as the product of these prime numbers.