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:

1. Analyze "5 is a factor of 12": Factors of 12 are 1, 2, 3, 4, 6, 12. 5 is not a factor of 12, so this is false.
2. Analyze "60 is a multiple of 5": Since \( 60\div5 = 12 \) (an integer), 60 is a multiple of 5, so this is true.
3. Analyze "5 is a multiple of 60": Multiples of 60 are \( 60, 120, 180, \dots \), 5 is less than 60 and \( 5\div60=\frac{1}{12} \) (not an integer), so this is false.
4. Analyze "12 is a factor of 60": Since \( 60\div12 = 5 \) (an integer), 12 is a factor of 60, so this is true.
5. Analyze "A factor pair of 60 is 12 and 5": A factor pair is two numbers that multiply to the given number. Since \( 12\times5 = 60 \), 12 and 5 are a factor pair of 60, so this is true.

Answer:

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