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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. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    For example, there are six divisors of 4; they are 1, 2, 4, −1, −2, and −4, but only the positive ones (1, 2, and 4) would usually be mentioned. 1 and −1 divide (are divisors of) every integer. Every integer (and its negation) is a divisor of itself. Integers divisible by 2 are called even, and integers not divisible by 2 are called odd.

  4. 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

  5. 4 - Wikipedia

    en.wikipedia.org/wiki/4

    Each natural number divisible by 4 is a difference of squares of two natural numbers, i.e. =. A four-sided plane figure is a quadrilateral or quadrangle, sometimes also called a tetragon. It can be further classified as a rectangle or oblong, kite, rhombus, and square.

  6. Check digit - Wikipedia

    en.wikipedia.org/wiki/Check_digit

    This system detects all single-digit errors and around 90% [citation needed] of transposition errors. 1, 3, 7, and 9 are used because they are coprime with 10, so changing any digit changes the check digit; using a coefficient that is divisible by 2 or 5 would lose information (because 5×0 = 5×2 = 5×4 = 5×6 = 5×8 = 0 modulo 10) and thus ...

  7. 60 (number) - Wikipedia

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

    Because it is divisible by the sum of its digits in decimal, it is a Harshad number. A number system with base 60 is called sexagesimal (the original meaning of sexagesimal is sixtieth). It is the smallest positive integer that is written with only the smallest and the largest digit of base 2 , base 3 , and base 4 .

  8. 12 (number) - Wikipedia

    en.wikipedia.org/wiki/12_(number)

    12 (twelve) is the natural number following 11 and preceding 13.. Twelve is the 3rd superior highly composite number, [1] the 3rd colossally abundant number, [2] the 5th highly composite number, and is divisible by the numbers from 1 to 4, and 6, a large number of divisors comparatively.

  9. 38 (number) - Wikipedia

    en.wikipedia.org/wiki/38_(number)

    37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits. 38 is the largest even number which cannot be written as the sum of two odd composite numbers. The sum of each row of the only non-trivial (order 3) magic hexagon is 38. [4]