Tests of Divisibility (2, 3, 5, 9, 10) A test of divisibility is a method used to determine if a number is divisible by a specific number, like 2, 3, 5,...
A test of divisibility is a method used to determine if a number is divisible by a specific number, like 2, 3, 5, 9, or 10. These numbers are called divisors.
How to check divisibility:
Examine the factors: A number's factors are all the distinct numbers that evenly divide it. For example, the factors of 12 are 1, 2, 3, 4, and 6.
Divide by the number: Divide the number by each factor in the set. If the result is a whole number (without remainder), then the number is divisible by that factor.
Repeat for other factors: Continue checking divisibility by other factors in the set until you reach 1. If the number is divisible by all the factors you tested, it is divisible by the original number.
Examples:
18 is divisible by 2, 3, 9, and 10 because its factors are 1, 2, 3, and 6.
24 is divisible by 2, 3, 4, and 6 because its factors are 1, 2, 3, and 6.
15 is divisible by 3 but not divisible by 5 because its factors are 1, 3, and 5.
30 is divisible by 2 and 3 because its factors are 1, 2, and 3.
36 is divisible by 2, 3, 4, 6, and 12 because its factors are 1, 2, 3, 4, and 6