A perfect square is a number that can be expressed as the product of two equal integers.
The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.
Try these steps first:
Let's try it...
Step 1:
What is the last number of 105,720,782? It is this number: 105720782. The answer is 2. Is 2 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: YES, 2 is in the list of numbers that are never perfect squares. The number 105,720,782 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.
Number | 105,720,780 | 105,720,781 | 105,720,783 | 105,720,784 |
Perfect Square? | no | no | no | no |