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  2. Centered square number - Wikipedia

    en.wikipedia.org/wiki/Centered_square_number

    All centered square numbers and their divisors have a remainder of 1 when divided by 4. Hence all centered square numbers and their divisors end with digit 1 or 5 in base 6, 8, and 12. Every centered square number except 1 is the hypotenuse of a Pythagorean triple (3-4-5, 5-12-13, 7-24-25, ...). This is exactly the sequence of Pythagorean ...

  3. Square number - Wikipedia

    en.wikipedia.org/wiki/Square_number

    Squares of odd numbers are odd, and are congruent to 1 modulo 8, since (2n + 1) 2 = 4n(n + 1) + 1, and n(n + 1) is always even. In other words, all odd square numbers have a remainder of 1 when divided by 8. Every odd perfect square is a centered octagonal number. The difference between any two odd perfect squares is a multiple of 8.

  4. Division (mathematics) - Wikipedia

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

    The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which is the number of times the second number is completely contained in the first number, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of ...

  5. Remainder - Wikipedia

    en.wikipedia.org/wiki/Remainder

    The rings for which such a theorem exists are called Euclidean domains, but in this generality, uniqueness of the quotient and remainder is not guaranteed. [8] Polynomial division leads to a result known as the polynomial remainder theorem: If a polynomial f(x) is divided by x − k, the remainder is the constant r = f(k). [9] [10]

  6. Polynomial long division - Wikipedia

    en.wikipedia.org/wiki/Polynomial_long_division

    Divide the highest term of the remainder by the highest term of the divisor (x 2 ÷ x = x). Place the result (+x) below the bar. x 2 has been divided leaving no remainder, and can therefore be marked as used. The result x is then multiplied by the second term in the divisor −3 = −3x. Determine the partial remainder by subtracting 0x − ...

  7. The top 7 mental health challenges of the holidays and how to ...

    www.aol.com/top-7-mental-health-challenges...

    4. Overindulgence Especially when entire days are spent roasting turkeys and hams, and bars are stocked for festive gatherings, overindulging in food or alcohol is common during the holiday season.

  8. Alcohol is not good for us. 5 tips to stay safe(r) if you drink

    www.aol.com/drink-not-drink-5-tips-142139741.html

    24/7 Help. For premium support please call: 800-290-4726 more ways to reach us. Mail. ... were divided into four groups. Members of one group were told they were getting drinks with alcohol, and ...

  9. When do the NFL playoffs start? Schedule, start date for 2024 ...

    www.aol.com/nfl-playoffs-start-schedule-start...

    Playoffs? Playoffs?! Well, Jim Mora, the NFL regular season has just five weeks left to play. It's getting to be that time to turn our attention ahead to the 2024 NFL playoffs schedule.. As of the ...