If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of t*p^2?
(1) m has more than 9 positive factors
(2) m is a multiple of p^3
This is how i solved this problem.
m can expressed in terms of p,t.
Qn-is m a multiple of p^2t or it can be put across as can m divided by p^2t
Statement 1) doesn't help.
Statement 2)m is a multiple of p^3 -- this implies that m is divisible by p^3.
Therefore m has a minimum power of three.So, m has to be divisible by p^2t.
(1) m has more than 9 positive factors
(2) m is a multiple of p^3
This is how i solved this problem.
m can expressed in terms of p,t.
Qn-is m a multiple of p^2t or it can be put across as can m divided by p^2t
Statement 1) doesn't help.
Statement 2)m is a multiple of p^3 -- this implies that m is divisible by p^3.
Therefore m has a minimum power of three.So, m has to be divisible by p^2t.
