Question

relating factors and multiples i - item 33492
mrs. wu is making cookies.
she can arrange 15 cookies on her baking sheet in a rectangle as shown.
select the three statements that are true.
15 is a prime number.
5 is a multiple of 15.
15 is a multiple of 3.
15 is a composite number.
3 is a factor of 5.
3 and 5 is a factor pair of 15.

Explanation:

Step1: Analyze "15 is a prime number"

A prime number has only 1 and itself as factors. 15 has factors 1, 3, 5, 15. So this is false.

Step2: Analyze "5 is a multiple of 15"

Multiples of 15 are 15, 30, 45, ... 5 is less than 15 and not a multiple. False.

Step3: Analyze "15 is a multiple of 3"

Check if \( 15 \div 3 = 5 \) (integer). Yes, so 15 is a multiple of 3. True.

Step4: Analyze "15 is a composite number"

Composite numbers have more than two factors. 15 has 1, 3, 5, 15. So it's composite. True.

Step5: Analyze "3 is a factor of 5"

Check if \( 5 \div 3 \) is integer. \( 5\div3=\frac{5}{3}\), not integer. False.

Step6: Analyze "3 and 5 is a factor pair of 15"

Factor pair: \( 3\times5 = 15 \). So 3 and 5 are a factor pair. True.

Answer:

The three true statements are:

• 15 is a multiple of 3.
• 15 is a composite number.
• 3 and 5 is a factor pair of 15.