SOLUTION: Is the nine-digit number PQRST9875 divisible by 625?

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Question 421474: Is the nine-digit number PQRST9875 divisible by 625?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
PQRST9875 = PQRST0000 + 9875.
Now %28PQRST9875%29%2F625+=+%28PQRST0000%29%2F625+%2B+9875%2F625.
==> PQRST0000/625 is a positive integer, whereas 9875/625 = 79/5 in lowest terms. Hence %28PQRST9875%29%2F625 is not a positive integer.