No.
First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.
Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
No.
First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.
Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
No.
First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.
Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
No.
First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.
Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
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No.
First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.
Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
Every integer is a rational number.
Every integer is rational.
Yes, 1 is a factor of every integer and every integer is a multiple of 1.
No, not every negative number is an integer. For example, -11/2 is not an integer. However, -1, -2, -3, and so on, are negative integers. Perhaps that is what you meant to ask. The negative of every positive integer is a negative integer.