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 133,512,748? It is this number: 133512748. The answer is 8. Is 8 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: YES, 8 is in the list of numbers that are never perfect squares. The number 133,512,748 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.
Number | 133,512,746 | 133,512,747 | 133,512,749 | 133,512,750 |
Perfect Square? | no | no | no | no |