# How do you find two consecutive integers whose product is 58?

##### 2 Answers

No such pair of integers. Hence, no solution.

#### Explanation:

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:

#### Explanation:

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: