# ISEE Lower Level Quantitative : Prime Numbers

## Example Questions

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### Example Question #1 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than  and only have factors of the number  and itself. For example  is a prime number because it's greater than  and the factors of  are only  and

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- from our definition of a prime number we know that  cannot be correct because prime numbers are greater than

- A factor pair for  is . Though  is a prime number,  is not.

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is . Both  and  are prime numbers, thus  is our correct answer.

### Example Question #1677 : Numbers And Operations

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for  is , and  is not a prime number.

- A factor pair for is . Though is a prime number, is not.

- A factor pair for  is , and is not a prime number.

- A factor pair for  is . Both  and are prime numbers, thus  is our correct answer.

### Example Question #1 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for  is , and  is not a prime number.

- A factor pair for is . Though is a prime number, is not.

- A factor pair for  is , and is not a prime number.

- A factor pair for  is . Both  and are prime numbers, thus  is our correct answer.

### Example Question #1679 : Numbers And Operations

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for is . Though is a prime number, is not.

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is , and both  and  are not a prime numbers.

- A factor pair for  is . Both  and  are prime numbers, thus  is our correct answer.

### Example Question #1680 : Numbers And Operations

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is  , and  is not a prime number.

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is . Both and  are prime numbers, thus  is our correct answer.

### Example Question #2 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- from our definition of a prime number we know that cannot be correct because prime numbers are greater than .

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is . Both  and are prime numbers, thus  is our correct answer.

### Example Question #1682 : Numbers And Operations

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for is . Though is a prime number, is not.

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is , and both  and  are not a prime numbers.

- A factor pair for  is . Both and  are prime numbers, thus  is our correct answer.

### Example Question #1683 : Numbers And Operations

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for  is , and both  and  are not prime numbers.

- A factor pair for  is , and both  and  are not a prime numbers.

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is . Both and  are prime numbers, thus  is our correct answer.

### Example Question #1 : Prime Numbers

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- from our definition of a prime number we know that cannot be correct because prime numbers are greater than .

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is . Both  and are prime numbers, thus  is our correct answer.

### Example Question #1685 : Numbers And Operations

Which of the following is the product of two distinct prime numbers?

Explanation:

There are two key terms in this question that we need to understand in order to answer the question correctly: product and prime numbers.

Product is the answer to a multiplication problem.

Prime numbers are numbers that are greater than and only have factors of the number and itself. For example is a prime number because it's greater than and the factors of are only and .

To find the correct answer, we need to know the factor pairs for our answer choices. The correct answer will have a factor pair of two prime numbers.

Let's look at our answer options:

- A factor pair for  is , and  is not a prime number.

- A factor pair for  is , and both  and  are not prime numbers.

- A factor pair for  is , and both  and  are not a prime numbers.

- A factor pair for  is . Both  and  are prime numbers, thus  is our correct answer.

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