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 13,333,220? It is this number: 13333220. The answer is 0. Is 0 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: NO, 0 is not in the list of numbers that are never perfect squares. Let's continue to the next step.
Step 2:
We now need to obtain the digital root of the number. Here's how you do it:
If the answer is more than one digit, you would add each digit of the answer together again:
What is the digital root of number 13,333,220?
Answer: 8
Step 3:
So now we know the digital root of 13,333,220 is 8. Is 8 in the list of digital roots that are always a square root (1, 4, 7 or 9)?
Answer: NO, 8 is not in the list of digital roots that are always perfect squares. We can conclude that 13,333,220 IS NOT a perfect square and we don't need to factor!
Number | 13,333,218 | 13,333,219 | 13,333,221 | 13,333,222 |
Perfect Square? | no | no | no | no |