Difference between revisions of "Integer"
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Likewise, the following numbers are not integers: 5/10, the square root of -9, 8.75, and [[pi]]. | Likewise, the following numbers are not integers: 5/10, the square root of -9, 8.75, and [[pi]]. | ||
| − | See also | + | ==See also== |
*[[algebraic numbers]] | *[[algebraic numbers]] | ||
*[[abstract algebra]] | *[[abstract algebra]] | ||
[[category:mathematics]] | [[category:mathematics]] | ||
Revision as of 17:51, November 19, 2008
An integer is any whole number, positive, negative, or 0. Starting at 1 and going up are the counting numbers {1, 2, 3, 4, ...}, sometimes called "natural numbers".
More precisely, the set of all integers consists of all natural numbers {1, 2, 3, 4, ...}, their negatives {-1, -2, -3, -4, ...} and 0. A formal definition is that it is the only integral domain whose positive elements are well ordered and in which order is preserved by addition.
An integer may be:
- even (divisible by two)
- odd (not divisible by two)
- positive (more than zero)
- negative (less than zero)
- whole (undivided)
- composite (divisible into other integers) or prime (only divisible by itself and one)
Every integer larger than 1 has a unique prime factorization.
Some examples of integers: 1, 10/5, 98058493, -87, -3/3, both square roots of 9, and 0.
Likewise, the following numbers are not integers: 5/10, the square root of -9, 8.75, and pi.
