# 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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### Removing all prime factors less than n from a number

Is there an efficient way to check a number x and remove all prime factors in the number which are less than some n? For example for n = 200: ...
30 views

### Factorizing non commutative terms

Is it possible to factor a ** b ** c - a ** b ** d as a ** b ** (c - d) ? I am using ...
49 views

### Why is the result of MMA polynomial mod factor different from that of this article? [closed]

Why the polynomial mod factor of MMA is not the same as the result of this SE answer: ...
37 views

### Reorganize an expression such that specific expressions are evidentiated/factored

I want to rewrite an expression in a way that specific variables appear factored, like (x+y)(x-y). I know collect does something similar, but it only works if the factor you want to collect already ...
35 views

### Arrange a polynominal

I have a complex polynomial in more than ten line. I want to rearrange it by the power of another polynomial. For example, I have a powers of (1-A(x)/x^2) as a factor in it, and I want to sort the ...
69 views

### Generating summation formulas for factorized 4th moments

I'm interested in getting summation formulas for the following expression, in Einstein summation notation, with indices ranging from $1$ to $d$ $$c=X_{ik}M_{ijkl}X_{jl}$$ Here $M_{ijkl}$ is ...
100 views

### prime number digits less than n? [closed]

How can I ask mathematica to sieve with only primes with three-digit less than a given number. Thank you for instance I want to find the prime factor of 1337. Thank you
46 views

### Factor[p(x), a, b] not working in Galois theory package

I have downloaded Galois theory package from http://library.wolfram.com/infocenter/Articles/2872/ and I currently have Mathematica v 12.0. When I loaded the module (I needed to delete the blue stuff ...
92 views

### Why does Factor[] not factor -1?

Consider the two expressions -2a-2b and -a-b. The TreeForm[] looks identical However, ...
118 views

### Group symbols by a given partition of the occuring symbols

I have following expression $$-3 b_{\sigma _d}-3 b_{\sigma _v}-b-b_2+2 j-2 j_2-2 j_3+2 j_6+12$$ Mathematica input ...
42 views

### Factorization of multivariable polynomial

I have a polynomials of multivariable for instance: $P=yx+2^4xy+3+5^2xz+3^4zx$ Now I would like to do the following: extract those temrs that only has $z$ . extract terms that only has $y$ express ...
64 views

### Simplify the cubic root of cube assuming real and positive variable

I know this is very simple but I couldn't find a reasonable solution for it in the archive. It seems that my Mathematica does not take into account the assumptions when it wants to simplify the ...
58 views

### Factoring Algebraic Expressions [closed]

Say I have an expression $$x = L-(L-N)y^2(1+AB)$$ is there a way I can use mathematica to put the expression into the form $$x = M(1+\sigma B)$$ where $M$ and $\sigma$ are lumped terms?
95 views

### Mathematica not converting $A A$ to $A^2$ [closed]

I'm trying to factor a large polynomial $p$ in Mathematica. When running $\text{Factor}[p]$, however, one of the factors is $-Aq + A^2 Aq + 2 A q - 2 A Aq^2 q - Aq q^2 + A^2 Aq q^2$. This is clearly ...
42 views

### Not able to multiply the output of the code below

It is the output of the code given below ...
81 views

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### Scalar multiplication of an expression containing equality [duplicate]

Suppose: expr=(a x + a y==0); expr/a (*Out:=(a x + a y==0)/a*) I want a eliminated to obtain ...
715 views

### Why Mathematica can not factorize polynomials over algebraic fields?

I noticed that a factorization over algebraic fields is useless in Mathematica. Here is the example over the field containing I*Sqrt: ...
288 views

### Factor fails on a simple expression

Bug introduced in 9.0 and fixed in 11.3.0 Consider the following symbolic expression (all the c's are undefined) ...
158 views

### Factor Recursively

I'm looking for a way to factor a polynomial recursively. Consider the following example: expr = Expand[(a + (b + c)^2)^2]; Factor@expr Simplify@expr While the ...
303 views

### Factor a bivariate polynomial treating one variable as constant

I have a polynomial in two variables, e.g. 16384 k^4 - 20480 k^2 + x^4 - 320 k^2 x^2 - 128 x^2 + 4096 I'd like Mathematica to factor it as (x^2 - f(k))(x^2 - g(...