4

Part of 2002 Portugal MO

Problems(1)

no 2 Blablabla numbers exist such one of them divides the other.

Source: Portugal OPM 2002 p4

The Blablabla set contains all the different seven-digit numbers that can be formed with the digits

2, 3, 4, 5, 6, 7

8

. Prove that there are not two Blablabla numbers such that one of them is divisible by the other.

number theorydividesDigits