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  2. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    Subtracting 2 times the last digit from the rest gives a multiple of 3. (Works because 21 is divisible by 3) 405: 40 − 5 × 2 = 40 − 10 = 30 = 3 × 10. 4: The last two digits form a number that is divisible by 4. [2] [3] 40,832: 32 is divisible by 4. If the tens digit is even, the ones digit must be 0, 4, or 8.

  3. Multiple (mathematics) - Wikipedia

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

    0 is a multiple of every number (=). The product of any integer n {\displaystyle n} and any integer is a multiple of n {\displaystyle n} . In particular, n {\displaystyle n} , which is equal to n × 1 {\displaystyle n\times 1} , is a multiple of n {\displaystyle n} (every integer is a multiple of itself), since 1 is an integer.

  4. Summation - Wikipedia

    en.wikipedia.org/wiki/Summation

    The summation of an explicit sequence is denoted as a succession of additions. For example, summation of [1, 2, 4, 2] is denoted 1 + 2 + 4 + 2, and results in 9, that is, 1 + 2 + 4 + 2 = 9. Because addition is associative and commutative, there is no need for parentheses, and the result is the same irrespective of the order of the summands ...

  5. Harshad number - Wikipedia

    en.wikipedia.org/wiki/Harshad_number

    The number 19 is not a harshad number in base 10, because the sum of the digits 1 and 9 is 10, and 19 is not divisible by 10. In base 10, every natural number expressible in the form 9R n a n, where the number R n consists of n copies of the single digit 1, n > 0, and a n is a positive integer less than 10 n and multiple of n, is a harshad ...

  6. Idempotence - Wikipedia

    en.wikipedia.org/wiki/Idempotence

    Pressing the On button (green) is an idempotent operation, since it has the same effect whether done once or multiple times. Likewise, pressing Off is idempotent. Idempotence ( UK : / ˌ ɪ d ɛ m ˈ p oʊ t ən s / , [ 1 ] US : / ˈ aɪ d ə m -/ ) [ 2 ] is the property of certain operations in mathematics and computer science whereby they can ...

  7. Multiplication - Wikipedia

    en.wikipedia.org/wiki/Multiplication

    Here, 2 is being multiplied by 3 using scaling, giving 6 as a result. Animation for the multiplication 2 × 3 = 6 4 × 5 = 20. The large rectangle is made up of 20 squares, each 1 unit by 1 unit. Area of a cloth 4.5m × 2.5m = 11.25m 2; 4 ⁠ 1 / 2 ⁠ × 2 ⁠ 1 / 2 ⁠ = 11 ⁠ 1 / 4 ⁠

  8. Mathematicians Discovered Something Mind-Blowing About the ...

    www.aol.com/lifestyle/mathematicians-discovered...

    The simple number solves a notoriously complicated problem. ... 800-290-4726 more ways to reach us. Sign in. Mail. 24/7 Help. For premium support please call: 800-290-4726 more ways to reach us.

  9. Polite number - Wikipedia

    en.wikipedia.org/wiki/Polite_number

    In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. A positive integer which is not polite is called impolite. [1] [2] The impolite numbers are exactly the powers of two, and the polite numbers are the natural numbers that are not powers of two.