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 212,331,107? It is this number: 212331107. The answer is 7. Is 7 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: YES, 7 is in the list of numbers that are never perfect squares. The number 212,331,107 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.
Number | 212,331,105 | 212,331,106 | 212,331,108 | 212,331,109 |
Perfect Square? | no | no | no | no |