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Check the following nimbers whether each of them is a perfect square or not 16000


pancholiakshit896 10th Oct, 2020
Answer (1)
JAYA KARTHIKA RS 10th Oct, 2020

Hello,

16000 is not a perfect square

  • The most accurate way to find a number is a perfect square or not is to find the factors
  • There are some quick ways to find but to confirm it you should factoring

You can find whether a number is a perfect square or not by the following steps:

Perfect square is a Number that expressed as product of two equal integers

1. A number that is a perfect square that never ends in 2,3,7 or 8

The last digit of 16000 is 0 .0 is not in the list of numbers that are never perfect squares

2.You need to obtain the digital root

Split the number and add It together

1+6+0+0+0 = 7

So the digital root of number 16000 is 7

3.All possible numbers that are perfect square have a digital root of 1,4,7,9

Since 7 is in the list of digital roots that have perfect squares, we can say 16000 could be a perfect square


4.FACTORING :


Factors of 16000 are

1*16000

2*8000

4*4000

5*3200

8*2000

10*1600

16*1000

20*800

25*640

32*500

40*400

50*320

64*240

80*200

100*160

125*128


There should have been a equal numbers of x and y in the factor combination (like 3*3) if it was a perfect square.

But it doesn't have a Equal factor combination when multiplied together producing 16000

So,It means that 16000 is not a perfect square


Hope it helps

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