Question

a factor is a number that divides into another number evenly, with no remainder. select two answers that are two different factors of 100. 30 and 3; -5 and -20; 4 and 25; -10 and 10

Explanation:

Step1: Check 30 and 3

Check if 30 divides 100 evenly: $100\div30 = 3\frac{1}{3}$, not an integer. Check if 3 divides 100 evenly: $100\div3\approx33.33$, not an integer. So 30 and 3 are not factors of 100.

Step2: Check -5 and -20

Check if -5 divides 100: $100\div(-5)= - 20$, integer. Check if -20 divides 100: $100\div(-20)= - 5$, integer. So -5 and -20 are factors of 100.

Step3: Check 4 and 25

Check if 4 divides 100: $100\div4 = 25$, integer. Check if 25 divides 100: $100\div25 = 4$, integer. So 4 and 25 are factors of 100.

Step4: Check -10 and 10

Check if -10 divides 100: $100\div(-10)= - 10$, integer. Check if 10 divides 100: $100\div10 = 10$, integer. So -10 and 10 are factors of 100.

Answer:

B. -5 and -20, C. 4 and 25, D. -10 and 10 (Note: Since the problem says "select two answers that are two different factors of 100", any two of these correct option groups are acceptable. For example, C. 4 and 25 and D. -10 and 10 are both correct pairs. If we take C and D as the two answers, then: C. 4 and 25, D. -10 and 10)