Question 1126866
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<pre>
2 971 987 200 = {{{2^8*3^9*5^2*7^2*13}}}.


Now you need to combine / (to distribute) the factors to get the product of natural numbers, each of which is between 13 and 18.


The only way to do it is THIS :


              = {{{2^8*9^3*5^2*7^2*13}}} = 13 * (7*2)^2 * (5*3)^2 * (9*2)^2 * (2^4) = 13*14*14*15*15*18*18*16.


<U>Answer</U>.  One is 13 years old;

         2 of 14 years old;

         2 of 15 years old;

         2 of 18 years old;

         1 of 16 years old.


<U>Check</U>.   13 * 14*14* 15*15 * 18*18 * 16 = (my MS Excel) = 2 971 987 200.
</pre>

Solved.


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The tutor @greenestamps put this line in his post


<pre>
    I think the other tutor completely missed the point of the problem....
</pre>

If it relates to my post, then I do not understand the meaning of his remark.


My post came first.


It contains the complete and correct solution to the problem.


@greenestamps saw my post and then repeated practically the same solution.


After that, he states that I missed something . . . 



<H3>@greneestamps, I sincerely ask you to edit your post IMMEDIATELY to avoid any misunderstanding.</H3>.


It would be also right to bring your apologies.