M*N=1000000, find M and N if non of them contains zero

Question

M and N does not contain a digit zero.

Answer 1

Question: M*N=1000000, find M and N if non of them contains zero.

the factors of 1000000 are: (2^6)*(5^6)

Now if M or N contain a 2 and a 5, then M (or N) will have a zero.

The only way not to have a zero is for M to be comletely made up of 2's and N to be completely made up of 5's. (or vice versa).

So M = 2^6 = 64

And N = 5^6 = 15,625