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HKIMO 2017 Grade 5 National Final (Heat) Set 04 Question 1

HKIMO · HKIMO 2017 Grade 5 National Final (Heat) Set 04

Question 1

Let $A$ and $B$ be two nonzero digits. The two-digit number $\overline{AB}$ is divisible by 8, and $\overline{BA}$ is the product of three different prime numbers. Find the three-digit number $\overline{ABA}$.

Source glossary (English–Vietnamese): Non-zero digits: các chữ số khác 0; 2-digit numbers: các số có 2 chữ số; Properties: tính chất; Divisible: chia hết; Product: tích; Prime numbers: số nguyên tố.