Existence of a factorization with some conditions
47060
Split $n$ into nontrivial factors via a nontrivial square-root of $1\!\pmod{\!n}$
134352
The number of possible factorizations of a positive integer.
153069
Proof for Unique Factorization Domain
155452
Prime factorization of square numbers
58595
Existence of a G-invariant matrix
31898
Sufficient conditions for $x, Ax, A^2x, ...$ being linearly indepedent
53157
Factoring Quadratics
117293
sufficient and necessary conditions for matrix to be diagonalize or triangular
156671
Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$
134699
Can *any* real polynomial be factored linearly (plus a constant) over $\mathbb{R}$?
45498
Building a hard to factor number without knowing its factorization
60731
Factorization of a map between CW complexes
156910
Necessary and sufficient condition for $R/IJ \cong R/I \times R/J$
20161
Prove that the multiplicative inverse of $a$ modulo $m$ exists if and only if $a$ and $m$ are coprime.
144592
how to prove the existence and uniqueness of the prime factorization of any natural number.
135577
Prove the existence of $c$ such that $f'(c) = 2c(f(c) - f(0))$
8920
There exists $C\neq0$ with $CA=BC$ iff $A$ and $B$ have a common eigenvalue