SOLUTION: The product of three consecutive integers is 185136. What is the sum of these integers?

Question 1046508: The product of three consecutive integers is 185136. What is the sum of these integers?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
let three consecutive integers be ,,and
given: The product of three consecutive integers is .
so, we have
...solve for

...factor

real solution is:
if->
...coefficient is positive and greater than and we will have complex solutions; so, disregard it

first integer is
next one is
next one is
check their product: which is true
now find their sum:

so, the sum of these integers is

Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.
The product of three consecutive integers is 185136. What is the sum of these integers?
~~~~~~~~~~~~~~~~~~~~~~

Take the cube root of this number: = 56.994.

After that it is clear that your number should be 56*57*58.

All that you need to do now is to check the correctness.

Plus one more step: add the three factors.

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