Question

check weather 8100 is a perfect square or not by prime factorization ​

Answer 1

Answer:

hey mate your answer is here........

8100 is a perfect square because it's factors are 9,9,10&10.....

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Answer 2

Step-by-step explanation:

Step 1:

What is the last number of 8,100? It is this number: 8100. 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:

Split the number up and add each digit together:

8 + 1 + 0 + 0 = 9

What is the digital root of number 8,100?

Answer: 9

Step 3:

So now we know the digital root of 8,100 is 9. Is 9 in the list of digital roots that are always a square root (1, 4, 7 or 9)?

Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 8,100 could be a perfect square!

Factoring

OK, so now we know that 8,100 could be a perfect square. We have to find the factors of the number to be sure.

Here are all of the factors of 8,100:

1 x 8,1002 x 4,0503 x 2,7004 x 2,0255 x 1,6206 x 1,3509 x 90010 x 81012 x 67515 x 54018 x 45020 x 40525 x 32427 x 30030 x 27036 x 22545 x 18050 x 16254 x 15060 x 13575 x 10881 x 10090 x 90

Whoa! That is a lot of factors!

Highlighted in orange above is the factor combination that makes 8,100 a perfect square. Do you see why? A number can only be a perfect square if the product of two exactly the same numbers is equal to the original number.

Here's the proof: 90 x 90 = 8,100

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