Question

I am an even, 3 digit palindrome. (ex. 464). The product of the digits is 8. What number am I?

Answer 1

i found it. the answer is 222

Answer 2

If write your number as:

a b a

The product is:

a ∙ b ∙ a = a² ∙ b = 8

The factors of 8 are:

1, 2, 4, 8

a² and b could be any of the factors listed.

But in your task a² ∙ b = 8, so a² can be only 1 and 2 becouse:

for a = 4 the product is greater of 4², greater of 16

for a = 8 the product is greater of 8², greater of 64

So the solutions are 181 and 222