Math Competition Problems - Problem of the week - 4

Updated: Oct 18, 2020

"Janine's number has 3 digits. One digit is a prime number; another is a square number; the third is neither prime nor square. The number is NOT divisible by 3. What is the greatest possible value of Janine's number?"

Source - MOEMS 2008 (Grades 4-6)



Solution:

Let's first list all the prime numbers, square numbers and the other numbers (neither prime nor squares)