#102 Passport to success
My nine-digit passport number has some remarkable properties. Not only does it use all the digits from 1 to 9, but if I label the number ABCDEFGHI, then:
A is divisible by 1
AB is divisible by 2
ABC is divisible by 3
ABCD is divisible by 4
ABCDE is divisible by 5
ABCDEF is divisible by 6
ABCDEFG is divisible by 7
ABCDEFGH is divisible by 8
ABCDEFGHI is divisible by 9
You could program a computer to find this passport number, but there are shortcuts to figuring it out with a pen and paper.…
