Because multiples of 5 all have mantissas of 5 and 0, we should use the mantissas of 1, 4, 6, 9 to form short sticks of multiples of 6. Because 1 and 9 cannot appear, only 4 and 6 are considered, which are 6, 24, 36, 54, 66, 84 and 96 respectively. If there is the concept of the least common multiple in the fifth grade of primary school, then we can find out the law: there are only 6 and 24 points in the range of the least common multiple of 30, and then every 30 cycles, so it is simple to solve the problem.