Question

Find whether the square of the given number is even or odd: 431

Answer 1

Hint: First we will find the value of square of the number 431 and then we will divide that number by 2 and check whether it is divisible or not if it is divisible 2 then the square of the number is even and if it is not divisible by 2 then the square of the number is odd.

Complete step-by-step answer:

Let’s start solving this question.
First we will find the square of the given number 431.
${{431}^{2}}=185761$
Now we will check that 185761 is divisible by 2 or not.
The divisibility test of 2 says that if the digit in the unit place is even then it is divisible 2.
Hence, in this question we have 185761,
The digit in the unit place of 185761 is 1, and 1 is not an even number.
And hence, the number 185761 is not divisible by 2 and it is not even.
Hence, the square of the number 431 is odd.

Note: One can also solve this question only looking at the number 431. If 431 is not divisible by 2 then we know that taking its power does not change anything, it will still be not divisible by 2, and hence it will not be even. So, in this method we don’t need to find the square of 431 because if 431 is odd then it’s square will also be odd.