Math Problem : GG.2 Number of times divided by 3

How many times can the product of multiplied by integers from 1 to 20 be divided by three ?



Answer
Eight times

Solution
Since there are six multiples of 3 during 1 - 20, it is divided 6 times by three. 

According to the calculation of 20/3 = 6 remainder 2. 

The multiple of 9 can be divided further once again by three. 

Since there are two multiples of 9 is counted during 1 - 20 (20/9 = 2 remainder 2). 

Therefore, sum total 6 + 2 = 8 times.