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  2. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4; [2] [3] this is because 100 is divisible by 4 and so adding hundreds, thousands, etc. is simply adding another number that is divisible by 4. If any number ends in a two digit number that ...

  3. Refactorable number - Wikipedia

    en.wikipedia.org/wiki/Refactorable_number

    A refactorable number or tau number is an integer n that is divisible by the ... (1 and 18, 2 and 9, 3 and 6) and is divisible by 6. There are infinitely many ...

  4. Senary - Wikipedia

    en.wikipedia.org/wiki/Senary

    A number is divisible by 4 if its penultimate digit is odd and its final digit is 2, or its penultimate digit is even and its final digit is 0 or 4. A number is divisible by 5 if the sum of its senary digits is divisible by 5 (the equivalent of casting out nines in decimal). If a number is divisible by 6, then the final digit of that number is 0.

  5. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    Conversely the period of the repeating decimal of a fraction ⁠ c / d ⁠ will be (at most) the smallest number n such that 10 n − 1 is divisible by d. For example, the fraction ⁠ 2 / 7 ⁠ has d = 7, and the smallest k that makes 10 k − 1 divisible by 7 is k = 6, because 999999 = 7 × 142857.

  6. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    Prime numbers have exactly 2 divisors, and highly composite numbers are in bold. 7 is a divisor of 42 because =, so we can say It can also be said that 42 is divisible by 7, 42 is a multiple of 7, 7 divides 42, or 7 is a factor of 42. The non-trivial divisors of 6 are 2, −2, 3, −3.

  7. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    The area (K = ab/2) is a congruent number [17] divisible by 6. In every Pythagorean triangle, the radius of the incircle and the radii of the three excircles are positive integers. Specifically, for a primitive triple the radius of the incircle is r = n ( m − n ) , and the radii of the excircles opposite the sides m 2 − n 2 , 2mn , and the ...

  8. Table of divisors - Wikipedia

    en.wikipedia.org/wiki/Table_of_divisors

    d() is the number of positive divisors of n, including 1 and n itself; σ() is the sum of the positive divisors of n, including 1 and n itselfs() is the sum of the proper divisors of n, including 1 but not n itself; that is, s(n) = σ(n) − n

  9. 60 (number) - Wikipedia

    en.wikipedia.org/wiki/60_(number)

    It is the smallest number divisible by the numbers 1 to 6: there is no smaller number divisible by the numbers 1 to 5 since any number divisible by 2 and 3 must also be divisible by 6. It is the smallest number with exactly 12 divisors. Having 12 as one of those divisors, 60 is also a refactorable number.