Question

what is the maximum value of p such that 3^p divides 99×97×95×......​

Answer 1

Answer:

Dear Student,

The given expression is, 99×97×95×⋯⋯×51The above product of numbers contains 9 numbers which are multiple of 3.The number 99 is divisible by 32=9 and gives 11.The number 93 is divisible by 3 and gives 31.The number 87 is divisible by 3 and gives 29.The number 81 is completely divisible by 34=81.The number 75 is divisible by 3 and gives 25.The number 69 is divisible by 3 and gives 23.The number 63 is divisible by 32=9 and gives 7.The number 57 is divisible by 3 and gives 19.The number 51 is divisible by 3 and gives 17.Add up the above powers of 3 to get 314.Thus, the maximum value of p is 14 such that 3p divides 99×97×95×⋯⋯×51.

Answer 2

Answer:

11218949 is the maximum value of p such that 3^P divides 99 X 97 X 95 x