Question

What is the greatest possible positive integer n if 8n divides 4444 without leaving a remainder?

Answer 1

Answer:

4444 is the great number

Answer 2

Answer:

We can write the value of 44^44 from the given equation in the form of the integers such as breaking the 44^44 in (4*11)^4 or 4^44*11^44 or this can also be  written as 4^(2*22)*11^44 or 16^22 * 11^44 or can be (2*8)^22*11^44 hence can be written as 2^22*8^22*11^44 .

Now we know the reduced form of the given data if we divide the value of 8^n we will get that the value of n will be 22 so that the total value will be 2^22*11^44. Hence, the value of the n will be 22.