# Questions tagged [factorization]

Questions on factoring various types of mathematical expressions, with the use of Factor, FactorInteger, FactorSquareFree and related commands.

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### Approximate integer factorization

Suppose we would like to compute an approximate prime factorization of a large integer x in the sense that the difference between ...
149 views

### How to convert $a(x-p)^2+q$ to $a(x-\alpha+i\beta)(x-\alpha-i\beta)$ for any real $a$, $p$ and $q$ [duplicate]

I want to factorize any quadratic expressions into two complex-valued linear expressions. My effort below ...
51 views

### Expression should vanish under assumptions. How can I use Mathematica to simplify this type of of expression (and similar)?

This is maybe the worst type of question because it is super specific, but I am hoping that some Mathematica function or rule exists (built-in or custom) that can be helpful for simplifying a somewhat ...
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### Factor not factoring quadratic polynomial [closed]

I'm using version 11.3 Expand[(Sqrt - t)^2] 2 - 2 Sqrt t + t^2, but ...
55 views

### Multiple collection of terms

As the title suggests, I am interested in how to perform multiple collection of terms. This means that for a given expression a*x*b + c*x^2*d+a*x*k, I want to ...
87 views

### Can Mathematica factor out constrained functions when it simplifies? [closed]

For example, distributions in the exponential family take a likelihood function of the form $$f(x)g(\theta)e^{\phi(\theta)^{T}u(x)}$$. Given some ugly algebraic expression, can I tell mathematica to ...
I'm seeking an efficient implementation of the number-theoretic function giving the smallest integer $n$ that has exactly $k$ factors (not necessarily prime): ...