1.
The numbers that we multiply to get a product are called ...
Correct Answer
A. Factors
Explanation
Factors are the numbers that can be multiplied together to obtain a given product. In this case, the question is asking for the term that describes the numbers being multiplied. Therefore, the correct answer is "factors".
2.
Which of the following is a prime number?
Correct Answer
B. 19
Explanation
A prime number is a number that is only divisible by 1 and itself. In this case, 19 is the only number among the options that cannot be divided evenly by any other number except 1 and 19. Therefore, 19 is the prime number in the given options.
3.
Which of the following is not a prime number?
Correct Answer
B. 6
Explanation
A prime number is a number that is only divisible by 1 and itself. In this case, the numbers 2 and 11 are prime numbers because they can only be divided by 1 and themselves. However, the number 6 is not a prime number because it can be divided by 1, 2, 3, and 6. Therefore, 6 is not a prime number.
4.
Which of the following is a composite number?
Correct Answer
C. 22
Explanation
A composite number is a positive integer that has more than two distinct positive divisors. In other words, it can be divided evenly by numbers other than 1 and itself. In this case, 22 is the only number given that can be divided evenly by numbers other than 1 and itself (2 and 11), making it a composite number.
5.
Which of the following is NOT a composite number?
Correct Answer
A. 11
Explanation
A composite number is a positive integer that has more than two distinct positive divisors. In other words, it can be divided evenly by numbers other than 1 and itself. However, 11 is a prime number because it only has two distinct positive divisors, 1 and 11. Therefore, 11 is not a composite number.
6.
The product of a number and other whole numbers sre called ....
Correct Answer
A. Multiples
Explanation
The product of a number and other whole numbers is called multiples.
7.
Which of the following is a multiple of 8?
Correct Answer
C. 48
Explanation
The number 48 is a multiple of 8 because it can be divided evenly by 8. When 48 is divided by 8, the result is 6, with no remainder. This means that 8 can be multiplied by 6 to give the number 48.
8.
Which of the following is NOT a multiple of 6?
Correct Answer
C. 45
Explanation
To determine which number is not a multiple of 6, we need to check if each number can be divided by 6 without leaving a remainder. 24 can be divided by 6, as 6 multiplied by 4 equals 24. 36 can also be divided by 6, as 6 multiplied by 6 equals 36. However, 45 cannot be divided by 6 without leaving a remainder, as the closest multiple of 6 that is less than 45 is 42 (6 multiplied by 7), and there is a remainder of 3. Therefore, 45 is not a multiple of 6.
9.
What are prime numbers?
Correct Answer
B. Numbers that has exactly two factors.
Explanation
Prime numbers are numbers that have exactly two factors, which are 1 and the number itself. This means that prime numbers cannot be divided evenly by any other numbers except for 1 and itself. For example, 2, 3, 5, 7, and 11 are all prime numbers because they can only be divided by 1 and the number itself without any remainder. In contrast, numbers that have more than two factors, such as 4 (which can be divided evenly by 1, 2, and 4), are not considered prime numbers.
10.
Which of the following is a set of prime numbers?
Correct Answer
A. 7, 11, 13
Explanation
The set of numbers 7, 11, and 13 is a set of prime numbers because all three numbers are only divisible by 1 and themselves. Prime numbers are numbers that have exactly two distinct positive divisors. In this case, 7, 11, and 13 cannot be divided evenly by any other number except 1 and themselves, making them prime numbers.
11.
What are composite numbers?
Correct Answer
A. Numbers that has more than two factors
Explanation
Composite numbers are numbers that have more than two factors. Factors are the numbers that can divide a given number evenly without leaving a remainder. For example, the number 6 is a composite number because it can be divided evenly by 1, 2, 3, and 6. In contrast, prime numbers have only two factors, which are 1 and the number itself. Therefore, the correct answer is "Numbers that has more than two factors."
12.
Which of the following is a set of composite numbers?
Correct Answer
C. 4, 6, 8
Explanation
The numbers 4, 6, and 8 are composite numbers because they can be divided evenly by numbers other than 1 and themselves. For example, 4 can be divided evenly by 2, and 8 can be divided evenly by 2 and 4. Therefore, these numbers are not prime numbers and are considered composite numbers.
13.
What number is the smallest prime number?
Correct Answer
A. 2
Explanation
The smallest prime number is 2 because it is the only even prime number and the only number that can only be divided by 1 and itself without any remainder. Prime numbers are defined as numbers greater than 1 that have no divisors other than 1 and itself.
14.
What is the sum of the first four prime numbers?
Correct Answer
B. 17
Explanation
The sum of the first four prime numbers is 17. The first four prime numbers are 2, 3, 5, and 7. Adding them together gives us 2 + 3 + 5 + 7 = 17.
15.
It is a way of writing numbers as the product of its prime factors.
Correct Answer
B. Prime factorization
Explanation
Prime factorization is the process of expressing a number as the product of its prime factors. It involves breaking down a number into its prime factors until all factors are prime. This method is useful in various mathematical calculations, such as finding the greatest common divisor, simplifying fractions, and solving equations involving exponents. By using prime factorization, we can easily determine the prime factors of a number and understand its unique composition in terms of prime numbers.
16.
Is 14 a prime number or composite number?
Correct Answer
B. Composite number
Explanation
14 is a composite number because it is divisible by numbers other than 1 and itself. Specifically, 14 can be divided evenly by 2 and 7. Since it has divisors other than 1 and itself, it does not meet the criteria for a prime number.
17.
What is the prime factorization of 6?
Correct Answer
A. 2 x 3
Explanation
The prime factorization of a number is the expression of that number as a product of its prime factors. In this case, the number is 6. To find the prime factorization of 6, we need to determine the prime numbers that can divide 6 evenly. The prime numbers that can divide 6 are 2 and 3. Therefore, the prime factorization of 6 is 2 x 3.
18.
What is the prime factorization of 9?
Correct Answer
A. 3 x 3
Explanation
The prime factorization of a number involves breaking it down into its prime factors. In this case, the number 9 can be expressed as the product of two 3's. Since 3 is a prime number and cannot be further broken down, the prime factorization of 9 is 3 x 3.
19.
How many factors does 49 have?
Correct Answer
C. 3
Explanation
The number 49 has three factors: 1, 7, and 49. Factors are the numbers that can be multiplied together to get a specific number. In this case, 1 multiplied by 49 equals 49, and 7 multiplied by 7 also equals 49. Therefore, there are three factors for the number 49.
20.
Which is the prime factorization of 30?
Correct Answer
A. 2 x 3 x 5
Explanation
The prime factorization of 30 is 2 x 3 x 5. This means that 30 can be expressed as the product of its prime factors, which are 2, 3, and 5.