parry wrote:
Bunuel wrote:
If N is a positive three-digit number that is greater than 200, and each digit of N is a factor of N itself, what is the value of N?
Given: N = abc, where a>1 and each of a, b, and c is a factor of N.
(1) The tens digit of N is 5.
N = a5c. This implies that 5 is a factor of N, which means that the units digit of N(c ) must be 5.c cannot be 0 since we are told that each digit of N is a factor of N itself and 0 is not a factor of any number. Thus we have that N = a55. Because
Given: N = abc, where a>1 and each of a, b, and c is a factor of N.
(1) The tens digit of N is 5.
N = a5c. This implies that 5 is a factor of N, which means that the units digit of N(c ) must be 5.c cannot be 0 since we are told that each digit of N is a factor of N itself and 0 is not a factor of any number. Thus we have that N = a55. Because
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