Question

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.

1. Giakhanh
The product of these two numbers –
• They are thinking about either 63 or -63
• 63 multiplied by -63 is equal to -3969
What is a factors in math?
• Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
• For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Marie is thinking of a multiple of = 63
Jay is thinking of a factor of = 63
The multiples of 63.
63,126,189,252,315
The factors of 63 = 1,3,7,9,21,63
As we can see, 63 is common, so is -63 if we go to the negative side.
So we multiply 63 and -63 and we get -3969
63 multiplied by -63 is equal to –3969