A divisibility rule is a shorthand and useful way of determining whether a given integer is divisible by a fixed divisor without performing the division...

divisible by three (and so are 1386, 3168, 3186, 3618, etc.). See also Divisibility rule. This works in base 10 and in any positional numeral system whose...

of 1001 are the basis of a divisibility test for 7, 11 and 13. The method is along the same lines as the divisibility rule for 11 using the property 10...

−1 and 1 and prime numbers have no non-trivial divisors. There are divisibility rules that allow one to recognize certain divisors of a number from the...

when multiplying by 9, using the divisibility rule for 9 to verify that the sum of digits of the result is divisible by 9 is a sanity test—it will not...

Fizz, ... In some versions of the game, other divisibility rules such as 7 can be used instead. Another rule that may be used to complicate the game is where...

the divisibility rule again, the result can be checked speedily since the addition of all digits gives 54; 5 + 4 = 9—so the number is divisible by 9...

remainder upon division by 9 will be 0), which allows it to be used as a divisibility rule. Let n {\displaystyle n} be a natural number. For base b > 1 {\displaystyle...

common interest situations and is more easily divisible. There are a number of variations to the rules that improve accuracy. For periodic compounding...

the remainder is the constant r = f(k). Chinese remainder theorem Divisibility rule Egyptian multiplication and division Euclidean algorithm Long division...