Problem #PRU-100570

Problems Divisibility Divisibility of a number. General properties Divisibility rules Number Theory

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.