Definition for Difference between revisions of "Transitivity of Divisibility"
From Biology Forums Dictionary
(Created page with "If one number divides a second and the second number divides a third, then the first number divides the third. This is one of the most useful properties of divisibility is th...") |
|||
| Line 1: | Line 1: | ||
| − | If one number divides a second and the second number divides a third, then the first number divides the third. | + | If one number divides a second and the second number divides a third, then the first number divides the third. In other words: |
| + | |||
| + | For all integers a, b, and c, if a divides b and b divides c, then a divides c. | ||
This is one of the most useful properties of divisibility is that it is '''transitive'''. | This is one of the most useful properties of divisibility is that it is '''transitive'''. | ||
Latest revision as of 13:42, 29 October 2021
If one number divides a second and the second number divides a third, then the first number divides the third. In other words:
For all integers a, b, and c, if a divides b and b divides c, then a divides c.
This is one of the most useful properties of divisibility is that it is transitive.