Problem #PRU-100570

Problems Algebra and arithmetic Number theory. Divisibility Divisibility of a number. General properties Divisibility rules

Problem

Find a number which:

a) It is divisible by \(4\) and by \(6\), is has a total of 3 prime factors, which may be repeated.

b) It is divisible by \(6, 9\) and \(4\), but not divisible by \(27\). It has \(4\) prime factors in total, which may be repeated.

c) It is divisible by \(5\) and has exactly \(3\) positive divisors.