Question

a factor is a number that divides into another number evenly, with no remainder. which three numbers are factors of 60? 0, -1.5, 28; 7, 13, -16; -7, 11, -20; 6, -15, 20

Explanation:

Step1: Recall factor definition

A factor of a number \( n \) is an integer that divides \( n \) without a remainder, i.e., \( n \div \text{factor} \) is an integer.

Step2: Analyze each option

• Option 1 (0, -1.5, 28): \( 0 \) can't divide \( 60 \) (division by 0 is undefined), \(-1.5\) is not an integer, so eliminate.
• Option 2 (7, 13, -16): \( 60 \div 7 \approx 8.57 \) (not integer), \( 60 \div 13 \approx 4.62 \) (not integer), eliminate.
• Option 3 (-7, 11, -20): \( 60 \div (-7) \approx -8.57 \) (not integer), \( 60 \div 11 \approx 5.45 \) (not integer), eliminate.
• Option 4 (6, -15, 20): \( 60 \div 6 = 10 \) (integer), \( 60 \div (-15) = -4 \) (integer), \( 60 \div 20 = 3 \) (integer). All are integers dividing \( 60 \) evenly.

Answer:

6, -15, 20 (from the turquoise - colored option)