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  2. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    6: It is divisible by 2 and by 3. [6] 1,458: 1 + 4 + 5 + 8 = 18, so it is divisible by 3 and the last digit is even, hence the number is divisible by 6. Sum the ones digit, 4 times the 10s digit, 4 times the 100s digit, 4 times the 1000s digit, etc. If the result is divisible by 6, so is the original number.

  3. Triangular number - Wikipedia

    en.wikipedia.org/wiki/Triangular_number

    For example, a group stage with 4 teams requires 6 matches, and a group stage with 8 teams requires 28 matches. This is also equivalent to the handshake problem and fully connected network problems. The maximum number of pieces, p obtainable with n straight cuts is the n -th triangular number plus one, forming the lazy caterer's sequence (OEIS ...

  4. Casting out nines - Wikipedia

    en.wikipedia.org/wiki/Casting_out_nines

    If a number is divisible by 9, its digital root is 9. Otherwise, its digital root is the remainder it leaves after being divided by 9. A sanity test in which the above-mentioned procedures are used to check for errors in arithmetical calculations. The test is carried out by applying the same sequence of arithmetical operations to the digital ...

  5. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    Integers divisible by 2 are called even, and integers not divisible by 2 are called odd. 1, −1, and are known as the trivial divisors of . A divisor of that is not a trivial divisor is known as a non-trivial divisor (or strict divisor [6]).

  6. Amicable numbers - Wikipedia

    en.wikipedia.org/wiki/Amicable_numbers

    Demonstration with Cuisenaire rods of the amicability of the pair of numbers (220,284), the first of the series.. In mathematics, the amicable numbers are two different natural numbers related in such a way that the sum of the proper divisors of each is equal to the other number.

  7. Parity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Parity_(mathematics)

    Cuisenaire rods: 5 (yellow) cannot be evenly divided in 2 (red) by any 2 rods of the same color/length, while 6 (dark green) can be evenly divided in 2 by 3 (lime green). In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. [1]

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