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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
FactorInteger
FactorInteger[n]
gives a list of the prime factors of the integer n, together with their exponents.
FactorInteger[n, k]
does partial factorization, pulling out at most k distinct factors.
Details and OptionsDetails and Options
- For negative numbers, the unit
is included in the list of factors. - FactorInteger also works on rational numbers. The prime factors of the denominator are given with negative exponents. »
- The last element in the list FactorInteger[n, k] gives what is left after the partial factorization.
- FactorInteger[n, GaussianIntegers->True] factors over Gaussian integers. »
- FactorInteger[m+I n] automatically works over the Gaussian integers.
- When necessary, a unit of the form
, {I, 1}, or {-I, 1} is included in the list of factors. - FactorInteger[n, Automatic] pulls out only factors that are easy to find.
- FactorInteger uses PrimeQ to determine whether factors are prime.
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