If the product of a number multiplied by 13 is an integer and the last three digits are 123, then the smallest number in such a certificate is many By the way, another 30 points

If the product of a number multiplied by 13 is an integer and the last three digits are 123, then the smallest number in such a certificate is many By the way, another 30 points

There is a condition in the question: that integer is the smallest,
We can see that the product is also the smallest,
So we start with product
Imagine: (a) * 13 = (b) 123
If 1, B = 0, a = 123 / 13 = decimal,
2. B = 1, a = 1123 / 13 = decimal,
3. B = 2, a = 2123 / 13 = decimal,
4. B = 3, a = 3123 / 13 = decimal,
5. B = 4, a = 4123 / 13 = decimal,
6. B = 5, a = 5123 / 13 = decimal,
7、 B＝6,A＝6123/13＝471,
Therefore, the minimum integer is 471