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AMO 2027 Grades 6-7 SET 22 - Self-study Question 15

AMO · AMO 2027 Grades 6-7 SET 22 - Self-study

Question 15

Gina’s 6-digit postal code has the following interesting properties:

- It is the same number if your read it from right to left.

- It is a multiple of 9.

- If you remove the first and last digits, the only prime factor of the remaining 4-digit number is 11.

Find the first 3 digits of Gina’s postal code.

**Editorial note for this self-study exercise:** A six-digit code has a nonzero first digit. Enter only the first three digits. The supplied solution contains arithmetic errors identified below.