Question

30 POINTS!!!!! PLEASE ANSWER MATH PROBLEM CORRECTLY!!!!! VERY EASY MATH PROBLEM!!!!!!!!

Marie is thinking of a multiple of 63, while Jay is thinking of a factor of 63. They happen to be thinking of the same number. There are two possibilities for the number that each of them is thinking of, one positive and one negative. Find the product of these two numbers.

Answer 1

Explanation:

The positive multiples of 63 are 63, 126, 189, .... All of these numbers except for 63 are bigger than 63. On the other hand, all the positive factors of 63 other than 63 are less than 63. So if Marie and Jay are thinking of the same positive number, that number must be 63.

By the same reasoning, the list -63, -126, -189, ..., of negative multiples cannot include any factors of 63 except -63. Thus the two possible values for the number Marie and Jay are thinking of are -63 and 63. The product of these two numbers is (-63)(63) = -3969, since the product of a positive number and negative number is negative.

Answer 2

They're thinking about either 63 or -63.

`63\cdot(-63)=-3969`