Hello, MSYORK89!

Is there a typo?

We have:If , what are the four-digit numbers?

. .

If , the product is zero. .Hence,

If , the product is .Hence,

If , the product is a five-digit number. .Hence,

If , we have:

. .

In column-4, ends in 2.

. . Hence,

But in column-1, we see that

. . Therefore: .

If , we have:

. .

In column-4, we see that: .

But in column-1,

. . Therefore: .

The problem hasnosolutions.

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If the problem is: .

. . there is a solution: .