Information AboutDivisor |
| CATEGORIES ABOUT DIVISOR | |
| elementary number theory | |
| elementary arithmetic | |
For divisors in algebraic geometry, see Divisor (algebraic Geometry) . In Mathematics , a divisor of an Integer ''n'', also called a '''factor''' of ''n'', is an integer which evenly divides ''n'' without leaving a Remainder . EXPLANATION | ||
| In General, We Say ''m''''n'' (read: ''m'' Divides ''n'') For Non-zero Integers ''m'' And ''n'' | "http://wwwinformationdelightinfo/information/entry/if_and_only_if" class="copylinks">Iff there exists an integer ''k'' such that ''n'' = ''km'' Thus, divisors can be Negative as well as positive, although often we restrict our attention to positive divisors (For example, there are six divisors of four, 1, 2, 4, &minus1, &minus2, &minus4, but one would usually mention only the positive ones, 1, 2, and 4) |
|
| If ''a'' ''b'' And ''b'' ''c'', Then ''a'' ''c'' ( | "http://wwwinformationdelightinfo/information/entry/transitive_relation" class="copylinks">Transitive Relation ) |
|
| If ''a'' ''b'' And ''b'' ''a'', Then ''a'' | ''b'' or ''a'' = &minus''b'' |
|
| If ''a'' ''bc'', And | "http://wwwinformationdelightinfo/information/entry/greatest_common_divisor" class="copylinks">Gcd (''a'',''b'') = 1, then ''a'' ''c'' ( Euclid's Lemma ) |
|
|