Math Problem : G.6 Divisible number of the product of integers

When you divide by 78 the product of the integers multiplied from 1 in order, what is the smallest integer that you can divide by 78?







Answer
13

Solution
78 is factorized into prime factors as 78 = 2 × 3 × 13.
Since if you multiply from 1 to 13, then 2, 3, and 13 are contained, the product of multiply from 1 to 13 can be divided by 78.