How do you find two consecutive integers whose product is 58?
No such pair of integers. Hence, no solution.
As the only factors of
Let us check it algebraically. Assume one integer is
Using quadratic formula
and as we do not have a whole number as square root of
we do not have any such pair of integers. Hence, no solution.
There are no such factors. the nearest possible combinations are:
The factor exactly in the middle of a list of factors will be the square root.
Any consecutive integers will lie on either side of the square root .
The two nearest integers are
However, their product is
The next combination is
There are no consecutive integers with a product of 58.
Further investigation shows that the only factors of 58 are: