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  2. List of conversion factors - Wikipedia

    en.wikipedia.org/wiki/List_of_conversion_factors

    = 20 411.656 65 kg: carat: kt ≡ 3 + 1 ⁄ 6 gr = 205.196 548 3 mg carat (metric) ct ≡ 200 mg = 200 mg clove: ≡ 8 lb av = 3.628 738 96 kg: crith: ≡ mass of 1 L of hydrogen gas at STP: ≈ 89.9349 mg dalton: Da 1/12 the mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state and at rest: ≈ 1.660 539 068 ...

  3. Integer factorization - Wikipedia

    en.wikipedia.org/wiki/Integer_factorization

    If one of the factors is composite, it can in turn be written as a product of smaller factors, for example 60 = 3 · 20 = 3 · (5 · 4). Continuing this process until every factor is prime is called prime factorization; the result is always unique up to the order of the factors by the prime factorization theorem.

  4. Composite number - Wikipedia

    en.wikipedia.org/wiki/Composite_number

    If none of its prime factors are repeated, it is called squarefree. (All prime numbers and 1 are squarefree.) For example, 72 = 2 3 × 3 2, all the prime factors are repeated, so 72 is a powerful number. 42 = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. Euler diagram of numbers under 100:

  5. Fractional factorial design - Wikipedia

    en.wikipedia.org/wiki/Fractional_factorial_design

    Dropping B results in a full factorial 2 3 design for the factors A, C, and D. Performing the anova using factors A, C, and D, and the interaction terms A:C and A:D, gives the results shown in the table, which are very similar to the results for the full factorial experiment experiment, but have the advantage of requiring only a half-fraction 8 ...

  6. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    where both factors have integer coefficients (the fact that Q has integer coefficients results from the above formula for the quotient of P(x) by /). Comparing the coefficients of degree n and the constant coefficients in the above equality shows that, if p q {\displaystyle {\tfrac {p}{q}}} is a rational root in reduced form , then q is a ...

  7. Fundamental theorem of arithmetic - Wikipedia

    en.wikipedia.org/wiki/Fundamental_theorem_of...

    This representation is called the canonical representation [10] of n, or the standard form [11] [12] of n. For example, 999 = 3 3 ×37, 1000 = 2 3 ×5 3, 1001 = 7×11×13. Factors p 0 = 1 may be inserted without changing the value of n (for example, 1000 = 2 3 ×3 0 ×5 3).

  8. Divisor function - Wikipedia

    en.wikipedia.org/wiki/Divisor_function

    since n prime factors allow a sequence of binary selection (or 1) from n terms for each proper divisor formed. However, these are not in general the smallest numbers whose number of divisors is a power of two ; instead, the smallest such number may be obtained by multiplying together the first n Fermi–Dirac primes , prime powers whose ...

  9. Prime omega function - Wikipedia

    en.wikipedia.org/wiki/Prime_omega_function

    In number theory, the prime omega functions and () count the number of prime factors of a natural number . The number of distinct prime factors is assigned to () (little omega), while () (big omega) counts the total number of prime factors with multiplicity (see arithmetic function).