How to find all divisors of a number or expression in MatLab? - divisors -- MatLab

How to find all divisors of a number or expression in MatLab?

[Ans]

divisors

[description]

Find all divisors of a number or expression.

more details on:

Divisors of integer or expression - MATLAB divisors (mathworks.com)

code:

clear

clc

fprintf("divisors function.\n")

fprintf("divisor of 42.\n")

divisors(42)

fprintf("divisor of -42.\n")

divisors(-42)

fprintf("divisor of 1.\n")

divisors(1)

fprintf("divisor of -1.\n")

divisors(-1)

fprintf("divisor of 0.\n")

divisors(0)

fprintf("divisor of sym(42).\n")

divisors(sym(42))

syms x;

%equivalent

fprintf("divisor of (x^4-1).\n")

divisors(x^4 - 1, x)

fprintf("divisor of (x^4-1).\n")

divisors(x^4 - 1)

syms a u v

fprintf("divisor of a*u^2*v^3 where v are symbolic variables.\n")

divisors(a*u^2*v^3, v)

fprintf("divisor of a*u^2*v^3 where [u,v] are symbolic variables.\n")

divisors(a*u^2*v^3, [u,v])

fprintf("divisor of sym(9/8).\n")

divisors(sym(9/8))

result:

divisors function.
divisor of 42.

ans =

1 2 3 6 7 14 21 42

divisor of -42.

ans =

1 2 3 6 7 14 21 42

divisor of 1.

ans =

1

divisor of -1.

ans =

1

divisor of 0.

ans =

0

divisor of sym(42).

ans =

[1, 2, 3, 6, 7, 14, 21, 42]

divisor of (x^4-1).

ans =

[1, x - 1, x + 1, (x - 1)*(x + 1), x^2 + 1, (x^2 + 1)*(x - 1), (x^2 + 1)*(x + 1), (x^2 + 1)*(x - 1)*(x + 1)]

divisor of (x^4-1).

ans =

[1, x - 1, x + 1, (x - 1)*(x + 1), x^2 + 1, (x^2 + 1)*(x - 1), (x^2 + 1)*(x + 1), (x^2 + 1)*(x - 1)*(x + 1)]

divisor of a*u^2*v^3 where v are symbolic variables.

ans =

[1, v, v^2, v^3]

divisor of a*u^2*v^3 where [u,v] are symbolic variables.

ans =

[1, u, u^2, v, u*v, u^2*v, v^2, u*v^2, u^2*v^2, v^3, u*v^3, u^2*v^3]

divisor of sym(9/8).

ans =

[1, 3, 9, 1/2, 3/2, 9/2, 1/4, 3/4, 9/4, 1/8, 3/8, 9/8]