Question

find remainder when product 1692×1786×1412×1886 is divided by 5

Answer 1

Hello dear student,

In order to solve this question, we have more than 1 method.

We'll opt for the simplest one.

First of all you've to multiply all the digits at ones place of the given four numbers. And then simply divide the product by 5.

i.e. 2*6*2*6 = 144.

and 144/5 gives a remainder of 4. [Ans]

Now, the other method was you've to individually find the remainders for the given four numbers and then finally find their product. The product will be the same in both the cases.

Thanks.