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A number has exactly 32 factors out of which 4 are not composite.

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A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers are possible?
 
A. 2
B. 4
C. 6
D. 3
E. Not possible
Official Answer

1 Answer

nukul
0
4 composite no with product 30 = 1,2,3,5
No. = 2^x*3^y*5^z
Total factors = 32 =>
1. one of x/y/z = 7 and remaining 1's : Total : 3 nos
2. two of x/y/z= 3 and remaining 1's : Total :3 nos
Hence, Total : 6 numbers can exist
answered Dec 16, 2014 by Student (71 points)
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