# What is it?

**Number Theory**Level 3

What is the largest positive integer marven that can be formed from the digits 1, 2, 3, 4, 5, 6, each used exactly once, such that:

marven is divisible by 6,

marve is divisible by 5,

marv is divisible by 4,

mar is divisible by 3, and

ma is divisible by 2.