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Maths Puzzle
The number of positive integral solutions for the equation xyz=30 is
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- 27 possible solutions.
X-Y-Z
1-1-30....... 3 sets
1-2-15....... 6 sets
1-3-10........ 6 sets
1-5-6..... 6 sets
2-3-5......... 6 sets - 11 years agoHelpfull: Yes(15) No(4)
- Prime Factorization of 30 is
(2^1)*(3^1)*(5^1) = X * Y * Z
if n=(a^p)*(b^q)*(c^r) where a,b,c are prime factors of n
then number of factors would be (p+1)*(q+1)*(r+1)
so number factors for 30 is 2*2*2 = 8
therefore xyz can 8 possible solutions
- 11 years agoHelpfull: Yes(3) No(9)
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