There are three consecutive integers, the product of the two larger integers is 30. find three consecutive integers.

Answer=4,5,6

First, lets look at the factor pairs of 30

Factor Pairs of 30: 1&30, 2&15, 3&10, 5&6

Of the factor pairs of 30, only 5&6 are consecutive integers. So 5&6 are the numbers we are looking for.

5&6 are the second and third consecutive integers we're looking for ...

?,5,6

Next, we have to find the first consecutive integer. 5-1=4. 4 is the first consecutive integer.

4,5,6

The three consecutive integers are 4, 5, 6.

5 * 6 = 30

I factored 30 to look for the two larger integers. 1 x 30; 2 x 15; 3 x 10; 5 x 6.

I found 5 and 6, and because the problem states that 30 is the product of the 2 larger integer, then the 3rd integer is 4.