What is the number divided by 2 3 4 5 6 gives reminder 1?

Answer 1

Lets say that the number you are looking for is equal to (X + 1)

X is one less than the number that answers your problem.

X must be divisible by 2, 3, 4, 5, and 6.

If something is divisible by 4, it is divisible by 2.

If something is divisible by 6 it is divisible by 2 and 3.

So, our number really only has to be divisible by 4, 5, and 6 and it will automatically by divisible by 2 and 3.

4 = 2 x 2

5 = 5

6 = 2 x 3

I've factored those 3 numbers to their prime factors.

X = 2 x 2 x 3 x 5.

The reason I didn't include three 2's in the line above is because the requirement that 6 has for being divisible by 2 is filled by both of the 2's that 4 requires to be there.

X = 4 x 15

X = 60

Because the answer to your problem is (X + 1)...

60 + 1 = 61

So, 61 is your answer. When divided by 2, 3, 4, 5, and 6, it will leave a remainder of 1.