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Is it true that the square of a number is greater than the number itself?
It depends on what you mean by a number. If n is a positive integer (except for 1), then n^2 is greater than n. If n = 0 or 1, then n and n^2 are equal. If n = 1/2, then n is greater than its square. If n is negative, then n is always less than its square.
If N is a nonzero integer then n plus 1 divided by n is always greater than 1?
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Why must the product of any two numbers greater than 1 be a composite number?
A composite number is a positive integer which has a positive divisor other than one or itself. In other words, if 0 < n is an integer and there are integers 1 < a, b < n such that n = a × b then n is composite. By definition, every integer greater than one is either a prime number or a composite number. The number one is a unit - it is neither prime nor composite. For example, the integer 14 is a composite number because it can be factored as 2 × 7.
What is a rectangular number 93 120 301?
A rectangular number is any number greater than or equal to 2, that is the product of an positive integer n multiplied by the integer that comes before it. So 2x1 for example or 5x4 or 10x111. If you look at the number 93120301=n(n+1), this number is rectangular if n^2+n-93120301=0 has a solution that is a positive integer. There is no integer solution so that number is not rectangular. How about 93? n^2+n-93=0 also has no solution in the natural numbers.
What are the equivalent fraction of 16 over 20?
Take any integer, n, greater than 1.Then 16*n/(20*n) will be an equivalent fraction.
