Question

sandra knows that 12 × 5 = 60. select the three statements that are true. 5 is a factor of 12. 60 is a multiple of 5. 5 is a multiple of 60. 12 is a factor of 60. a factor pair of 60 is 12 and 5.

Explanation:

Step1: Analyze "5 is a factor of 12"

A factor of a number divides it without remainder. \(12\div5 = 2.4\), not an integer. So 5 is not a factor of 12.

Step2: Analyze "60 is a multiple of 5"

A multiple of 5 is \(5\times n\) (\(n\) integer). \(60 = 5\times12\), so 60 is a multiple of 5.

Step3: Analyze "5 is a multiple of 60"

A multiple of 60 is \(60\times n\). 5 is less than 60 and \(5\div60=\frac{1}{12}\), not an integer multiple. So 5 is not a multiple of 60.

Step4: Analyze "12 is a factor of 60"

\(60\div12 = 5\), integer. So 12 is a factor of 60.

Step5: Analyze "A factor pair of 60 is 12 and 5"

Factor pair: two numbers multiplying to 60. \(12\times5 = 60\), so they are a factor pair.

Answer:

• 60 is a multiple of 5.
• 12 is a factor of 60.
• A factor pair of 60 is 12 and 5.