Problem #PRU-100572

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

Problem

a) The number \(a\) is even. Should \(3a\) definitely also be even?

b) The number \(5c\) is divisible by \(3\). Is it true that \(c\) is definitely divisible by \(3\)?

c) The product \(a \times b\) is divisible by \(7\). Is it true that one of these numbers is divisible by \(7\)?

d) The product \(c \times d\) is divisible by \(26\). Is it true that one of these numbers is divisible by \(26\)?