Question

Find the square rost by
prime fautorisation method of
15265​

Answer 1

Step-by-step explanation:

Step 1:

What is the last number of 15,265? It is this number: 15265. The answer is 5. Is 5 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: NO, 5 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:

Split the number up and add each digit together:

1 + 5 + 2 + 6 + 5 = 19

If the answer is more than one digit, you would add each digit of the answer together again:

1 + 9 = 10

The answer is more than one digit again, we need to add each digit one more time:

1 + 0 = 1

Step 3:

So now we know the digital root of 15,265 is 1. Is 1 in the list of digital roots that are always a square root (1, 4, 7 or 9)?

Answer: YES, 1 is in the list of digital roots that are always perfect squares. We can conclude that 15,265 could be a perfect square!

Factoring

OK, so now we know that 15,265 could be a perfect square. We have to find the factors of the number to be sure.

Here are all of the factors of 15,265:

1 x 15,265

5 x 3,053

43 x 355

71 x 215

We're looking for a factor combination with equal numbers for X and Y (like 3x3) above. Notice there isn't a equal factor combination, that when multiplied together, produce the number 15,265. That means 15,265 is NOT a perfect square.