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 45,642,138? It is this number: 45642138. 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 45,642,138 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.
Number | 45,642,136 | 45,642,137 | 45,642,139 | 45,642,140 |
Perfect Square? | no | no | no | no |