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The square of any odd integer is an odd square number. For example, 3^2 = 9.
a perfect square
If you mean 'prime' factors, then an odd number of them CAN'T produce a perfect square. Consider 3 factors ... A, B, and C. If their product were a perfect square, then AxB=C, which can't be true if C is a prime number. For non-prime factors, an odd number of them may or may not be a perfect square: Three factors = not a square: 2 x 3 x 5 = 30. Three factors = a square: 2 x 3 x 6 = 36.
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64: 1, 2, 4, 8, 16, 32, 64Tip: To find the number, consider that if there are an odd number of factors, the number must be a perfect square, because a perfect square has one factor that is multiplied by itself. 64: 1, 2, 4, 8, 16, 32, 64Tip: To find the number, consider that if there are an odd number of factors, the number must be a perfect square, because a perfect square has one factor that is multiplied by itself.
16.
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No, all perfect square numbers are not even numbers. Eg. the square of 3 is 9. (32=9) To generalize the proof: If p is odd then p=2n+1 and p2=(2n+1)2=4n2+4n+1=2(2n2+2n)+1 So odd numbers have odd square
No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.
An even number is any integer that can be divided by two evenly. A square number is any integer multiplied by itself. 2 is even 3 is odd 4 is even and a square of 2 9 is odd and a square of 3 The square of any even number will itself be an even number, and the square of any odd number will itself be an odd number.
Because numbers are infinite, there is an infinite number of answers. e.g. What number should be added to 2 to make a perfect square? 2+2=4 (a perfect square) 2+7=9 (a perfect square) 2+14=16 (a perfect square) 2+23=25 (a perfect square) etc... Did you have a specific number in mind.
1, 4 and 16 are square numbers that are factors of 32. Of these, 4 and 16 have two as their only prime factor and 1 is odd.