Problem #PRU-100570

Problems 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.