If a=2^p * 3^q * 5^r and b =p^2 * q^3 * r^5 where p,q and r are primes, find the value of p+q+r, given a=b ?

1 Answer
MattyMatty
May 23, 2018

#p+q+r = 2+3+5 = 10#

Explanation:

#"The prime factorization of a number is unique."#
#"This means that as a=b, there are following possibilities"#
#"for p,q,r :"#
#"(p,q,r) = (2,3,5),(2,5,3),(3,2,5),(3,5,2),(5,2,3), or (5,3,2)."#
#"In all circumstances p+q+r = 2+3+5 = 10."#

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