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October 8

Product of two numbers containing a cube

two numbers p and q are such that p3 x q = 189 find p and q — Preceding unsigned comment added by 41.90.5.203 (talk) 09:59, 8 October 2019 (UTC)[reply]

Please do your own homework.

Welcome to Wikipedia. Your question appears to be a homework question. I apologize if this is a misinterpretation, but it is our aim here not to do people's homework for them, but to merely aid them in doing it themselves. Letting someone else do your homework does not help you learn nearly as much as doing it yourself. Please attempt to solve the problem or answer the question yourself first. If you need help with a specific part of your homework, feel free to tell us where you are stuck and ask for help. If you need help grasping the concept of a problem, by all means let us know. Iffy★Chat -- 10:09, 8 October 2019 (UTC)[reply]

I won't give you an answer, but can give you some clues:

By "numbers", I assume you mean integers.

By p3, I assume you mean p³.

I suggest you make a table:

 p   p³  189/p³
=== === ========
 1
 2
 3
 4
 5
 6

Any values of 189/p³ that work out to be integers are possible answers for q. SinisterLefty (talk) 15:41, 8 October 2019 (UTC)[reply]

Another method is to consider the prime factorization of 189. Count Iblis (talk) 17:37, 8 October 2019 (UTC)[reply]