Question 35
The “awesome multiple” of a natural number is its smallest multiple formed only from digits 0 and 1. For example, the awesome multiple of 2, as well as of 5, is 10; that of 3 is 111, and that of 110 is 110 itself.
a) What is the awesome multiple of 20?
b) What is the awesome multiple of 9?
c) What is the awesome multiple of 45?
d) What is the smallest natural number whose awesome multiple is 1110?
a) What is the awesome multiple of 20?
b) What is the awesome multiple of 9?
c) What is the awesome multiple of 45?
d) What is the smallest natural number whose awesome multiple is 1110?