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Why is 22 not a square number?

Updated: 8/19/2019
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12y ago

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A square number is a number that has been produced by multiplying an initial number by itself. This means, if we split the number into its prime factors, we should find duplicates of each prime factor. In the case of 22, it splits up into 2 and 11. There is no partner for the 2 or the 11, and so we can say definitively that 22 is not a square number.

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Q: Why is 22 not a square number?
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Related questions

Is 22 a square number?

no


What is the 15th square number?

it is 225


Is 22 a square number and triangular number?

Neither.


What is the square number of 2?

22 = 4


Does 2 have a square number?

4 is the square of two (22=2x2=4)


Is 22 a perfect square?

No it is not. 22 is not a perfect square because it is not a product of a rational number multiplied by itself. The closest perfect square would be 25


How many square feet is 11x2?

22 square feet. Multiply the two dimensions - the result is the number of square feet.


A square number greater than 16?

22


Is 22 a perfect square. Explain your answer?

No it is not. 22 is not a perfect square because it is not a product of a rational number multiplied by itself. The closest perfect square would be 25


Is 22 a square number explain?

No. A square number is a number that is the result of multiplying a number by itself. I.e. 1x1=1, 2x2=4, 3x3=9, 4x4=16, 5x5=25 1,4,9,16,25 are the first 5 square numbers. 22's factors are 1x22 & 2x11 so it is not a square number v


When you subtract one square number form the other square number the answer is 12 what are the two square numbers?

42-22=16-4=12


How can you tell by looking at the prime factors of 17640 that the square root of 17640 is not a whole number?

Write the prime factors as powers. In a square number, each prime number appears an even number of times - i.e., an even power. Examples: 4 = 22 (even power, this is a square) 144 = 24 x 32 (all powers are even, this is a square) 12 = 22 x 3 or 22 x 31 (3 has an odd power so it is not a square) (If a number is a perfect square, that is equivalent to saying that its square root is a whole number.) * * * * * In this case there is a particularly fast method. The number ends in 0 so 10 must be a factor of the number. That is to say, 2 and 5 must be prime factors of the number. If it is a square then 22 and 52 must be factors of the number ie 22 x 52 = 100 must be a factor. But if 100 is a factor, the number must end in 00. It does not so it cannot be a square.