Question

2^35 is divisible by 5 what is the remainder

Answer 1

Answer:

Let’s look at a sequence right quick

an=2n10

For n=1,2,3,4,5

2n10

Yields remainders 2, 4, 8, 6, 2

In general you can see the remainders double in size, but if they double beyond ten you’d remove the ten since ten would go into it once more. So every 4th term is a 2, therefore 35/4 = 8 with remainder 3 so the sequence is going to repeat 2,4,8,6. 8 times, then go 3 more steps, so it will land on the 8.

23510 Would have a remainder of 8

23510=3435973836810

The 8 will be the remainder since we are dividing by 10.