1. The plural of divisibility; the quality or state of being capable of being divided, especially without remainder.
Usage: Primarily used in mathematics and arithmetic contexts.
2. In mathematics, the property of numbers that determines whether one number can be divided evenly by another.
Usage: Technical usage in number theory and algebra.

Examples

• The divisibilities of 12 include 1, 2, 3, 4, 6, and 12.
• Students learned about divisibilities by testing which numbers divide evenly into larger numbers.
• The divisibilities of prime numbers are limited to 1 and the number itself.
• Understanding divisibilities is essential for simplifying fractions.
• The teacher explained the divisibilities of 20 to help students find common factors.