Question

a factor is a number that divides into another number evenly, with no remainder. select two answers that are two different factors of 84. 2 and 42 -3 and 36 -4 and -18 -6 and -14

Explanation:

Step1: Check 2 and 42

To check if 2 and 42 are factors of 84, we divide 84 by 2 and 84 by 42.
$84 \div 2 = 42$ (no remainder), $84 \div 42 = 2$ (no remainder). So 2 and 42 are factors.

Step2: Check -3 and 36

Divide 84 by -3: $84 \div (-3) = -28$ (not 36). So -3 and 36 are not both factors.

Step3: Check -4 and -18

Divide 84 by -4: $84 \div (-4) = -21$ (not -18). So -4 and -18 are not both factors.

Step4: Check -6 and -14

Divide 84 by -6: $84 \div (-6) = -14$ (no remainder), $84 \div (-14) = -6$ (no remainder). So -6 and -14 are factors.

Answer:

A. 2 and 42, D. -6 and -14