Question

mr. lanes cookie recipe makes 13 cookies.
he finds there is no way he can arrange the 13 cookies in a rectangle on his baking
sheet.
select the three statements that are true.
13 is a prime number. 4 is a factor of 13. 13 has exactly two factors.
13 is a composite number. 1 and 13 is a factor pair of 13. 13 has no factors that are prime
numbers.

Explanation:

1. 13 is a prime number: A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. 13 > 1, and its divisors are only 1 and 13, so this is true.
2. 13 has exactly two factors: The factors of 13 are 1 and 13, so it has exactly two factors, making this true.
3. 1 and 13 is a factor pair of 13: A factor pair of a number is a set of two numbers that multiply together to give that number. Since \(1\times13 = 13\), 1 and 13 form a factor pair of 13, so this is true.

Let's analyze the false statements:

• "4 is a factor of 13": \(13\div4 = 3.25\), so 4 does not divide 13 evenly, so this is false.
• "13 is a composite number": A composite number has more than two factors. Since 13 has only two factors, it is not composite, so this is false.
• "13 has no factors that are prime numbers": The factors of 13 are 1 and 13. 13 is a prime number, so this is false.

Answer:

• 13 is a prime number
• 13 has exactly two factors
• 1 and 13 is a factor pair of 13