Find the remainder when 51439786 is divided by 3. Do this without performing actual division.

Given:

51439786 is divided by 3.

To do:

We have to find the remainder when 51439786 is divided by 3.

Solution:

We know that,

A number is divisible by 3 if the sum of its digits is divisible by 3.

Here,

In the number 51439786,

The sum of the digits is $5+1+4+3+9+7+8+6=43$.

Therefore,

When 51439786 is divided by 3, then the remainder is equal to the remainder when 3 is divided by 3.

Dividing 43 by 3, the remainder is 1.

The remainder when 51439786 is divided by 3 is 1.

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Updated on: 10-Oct-2022

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