High School

Is -3 a factor of 66?

A. Yes, because 66 = (-3)(-22).
B. No, because -3 is not a divisor of 66.
C. No, because -22 is not an integer.
D. No, because 66 is not a multiple of -3.

Answer :

Final answer:

Answer b) is correct as -3 is not generally considered a divisor of 66 in the context of this question, which implies positive divisors.

Explanation:

Is -3 a factor of 66? The correct answer is b) No, because -3 is not a divisor of 66. Although it's true that 66 equals (-3) multiplied by (-22), which makes (-22) a factor of 66, a factor is typically referred to by the positive value when considering divisibility. In the context of this question, only positive divisors are being considered.

For example, when two positive numbers are multiplied the result is positive (2 x 3 = 6), and this is also the case when two negative numbers are multiplied (-4 x -3 = 12). However, when numbers of opposite signs are multiplied, like (-3) x 2, the result is negative (-6). Therefore, while -22 is technically an integer that produces 66 when multiplied by -3, it is not considered in this case because the context implies looking for a positive divisor.