When the quotient of two numbers is the same as the first factor, what do you know about the second factor?
That the second factor will be different?
idk... i forgot about that one
When the quotient of two numbers is the same as the first factor, it means that the result of dividing the two numbers is equal to the value of the first factor. In mathematical terms, if we have two numbers, let's say A and B, and their quotient is equal to one factor, let's call it C, then we can write it as:
A ÷ B = C
If C is equal to A, then we can rewrite the equation as:
A ÷ B = A
To find out what we know about the second factor, which is B in this case, we can rearrange the equation by multiplying both sides by B:
(A ÷ B) × B = A × B
This simplifies to:
A = A × B
Since A is not equal to zero (because division by zero is undefined), we can divide both sides of the equation by A to isolate B:
A ÷ A = A × B ÷ A
This simplifies to:
1 = B
Therefore, when the quotient of two numbers is the same as the first factor, we know that the second factor (B) must be equal to 1 in order to satisfy the equation.