The number 152 is equal to the sum of the cubes of two integers. What is the product of those integers? Answers
A) 8 B) 15 C) 21 D) 27 E) 39
Actually, decomposition into factors can easily give you the answer here. You should just do the decomposition of the right thing i.e. the options since they represent the product of those integers.   Since the sum of cubes is 152, the numbers cannot be larger than 5 since 6^3 itself is 216.   21, 27, 39 - The factors are too large so ignore   8 - (2, 4) Does not satisfy   15 - (3, 5) Yes. 3^3 + 5^3 = 152 - Answer   ANSWER:15
<result>B</result>
The number 152 is equal to the sum of the cubes of two integers. What is the product of those integers?