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  2. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    The result must be divisible by 3. Using the example above: 16,499,205,854,376 has four of the digits 1, 4 and 7 and four of the digits 2, 5 and 8; Since 4 − 4 = 0 is a multiple of 3, the number 16,499,205,854,376 is divisible by 3. Subtracting 2 times the last digit from the rest gives a multiple of 3. (Works because 21 is divisible by 3)

  3. 3 - Wikipedia

    en.wikipedia.org/wiki/3

    A natural number is divisible by three if the sum of its digits in base 10 is divisible by 3. For example, the number 21 is divisible by three (3 times 7) and the sum of its digits is 2 + 1 = 3. Because of this, the reverse of any number that is divisible by three (or indeed, any permutation of its digits) is also divisible by three. For ...

  4. Table of divisors - Wikipedia

    en.wikipedia.org/wiki/Table_of_divisors

    For example, 3 is a divisor of 21, since 21/7 = 3 (and therefore 7 is also a divisor of 21). If m is a divisor of n , then so is − m . The tables below only list positive divisors.

  5. 27 (number) - Wikipedia

    en.wikipedia.org/wiki/27_(number)

    Twenty-seven is the cube of 3, or the 2nd tetration of 3: 2 3 = 3 3 = 3 × 3 × 3. It is divisible by the number of prime numbers below it . The first non-trivial decagonal number is 27. [1] 27 has an aliquot sum of 13 [2] (the sixth prime number) in the aliquot sequence (27, 13, 1, 0) of only one composite number, rooted in the 13-aliquot tree ...

  6. Square-free integer - Wikipedia

    en.wikipedia.org/wiki/Square-free_integer

    In mathematics, a square-free integer (or squarefree integer) is an integer which is divisible by no square number other than 1. That is, its prime factorization has exactly one factor for each prime that appears in it. For example, 10 = 2 ⋅ 5 is square-free, but 18 = 2 ⋅ 33 is not, because 18 is divisible by 9 = 3 2. The smallest ...

  7. Square number - Wikipedia

    en.wikipedia.org/wiki/Square_number

    if a number is divisible both by 2 and by 3 (that is, divisible by 6), its square ends in 0, and its preceding digit must be 0 or 3; if a number is divisible neither by 2 nor by 3, its square ends in 1, and its preceding digit must be even; if a number is divisible by 2, but not by 3, its square ends in 4, and its preceding digit must be 0, 1 ...

  8. Who Went Home and Who Made It Through Night 3 on 'The ... - AOL

    www.aol.com/lifestyle/went-home-made-night-3...

    The closing night of Playoffs for Season 26 of The Voice took place on Tuesday night with the final five members of Team Michael Bublé battling it out for the final two spots in the Live Shows. ...

  9. Wilson's theorem - Wikipedia

    en.wikipedia.org/wiki/Wilson's_theorem

    In other words, any integer n > 1 is a prime number if, and only if, (n − 1)! + 1 is divisible by n. [1] History The ... 26: 15511210043330985984000000: 0 27: