Unit digit of the square of 25587

Here we will show you two ways of finding the unit digit of the square of 25587. First, we will define what the unit digit of the square of 25587 means. Next, we will find the unit digit of the square of 25587 using the Rule Method, and then we will find the unit digit of the square of 25587 using the Math Method.

The last digit (one digit) of the product you get when you multiply 25587 by itself is the unit digit of the square of 25587.

Rule Method
The unit digit of any square will never be 2, 3, 7, or 8. It can be only 0, 1, 4, 5, 6, or 9. Furthermore, the unit digit of the square of a number depends on its units digit. In other words, the unit digit of the square of 25587 depends on 7, because that is the last digit in 25587. Here are the rules:

Rule A) If the unit digit of a number is 0, then the unit digit of the square of that number is 0.

Rule B) If the unit digit of a number is 1 or 9, then the unit digit of the square of that number is 1.

Rule C) If the unit digit of a number is 2 or 8, then the unit digit of the square of that number is 4.

Rule D) If the unit digit of a number is 5, then the unit digit of the square of that number is 5.

Rule E) If the unit digit of a number is 4 or 6, then the unit digit of the square of that number is 6.

Rule F) If the unit digit of a number is 3 or 7, then the unit digit of the square of that number is 9.

The unit digit of 25587 is 7, therefore Rule F applies, and the unit digit of the square of 25587 is 9.

Unit digit of the square of 25587 = 9

Math Method
The unit digit of the square of a number depends on its units digit with this method too. Here you multiply the unit digit of the number by itself, and then look at the unit digit of that product. Again, the unit digit of 25587 is 7, so you multiply 7 by itself, and then look at the unit digit to get the answer once again:

7 × 7 = 49
Unit digit of 49 is 9.
Unit digit of the square of 25587 = 9

Of course, instead of using either of the methods above, you can multiply 25587 by itself if you have the time or a calculator, and then identify the unit digit to get the answer to the unit digit of the square of 25587. We did that below to double-check that our answer is correct:

25587 × 25587 = 654694569
Unit digit of 654694569 is 9.
Unit digit of the square of 25587 = 9

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