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Reference · stzNumber

PrimeFactors()

The prime factors of the number, as a list.

also written: PrimeDividors · PrimeDivirdos · PrimeDivisors

Basic examples (2)

Softanza
? Q(25).LCM(42)
? @@( Q(1050).PrimeFactorsXT() ) + NL
? @@( Q(1050).FactorsXT() )
Output
1050
[ [ 2, 525 ], [ 3, 350 ], [ 5, 210 ], [ 7, 150 ] ]

[ [ 1, 1050 ], [ 2, 525 ], [ 3, 350 ], [ 5, 210 ], [ 6, 175 ], [ 7, 150 ], [ 10, 105 ], [ 14, 75 ], [ 15, 70 ], [ 21, 50 ], [ 25, 42 ], [ 30, 35 ], [ 35, 30 ], [ 42, 25 ], [ 50, 21 ], [ 70, 15 ], [ 75, 14 ], [ 105, 10 ], [ 150, 7 ], [ 175, 6 ], [ 210, 5 ], [ 350, 3 ], [ 525, 2 ], [ 1050, 1 ] ]

run on 2026-10-02 04:23 inside the library at commit 0e72e2e2c; taken from 32_lcm.ring(opens in a new tab)

Softanza
? Q(169).IsPrime()
? Q(17).IsPrime()
? @@( Q(54).Divirdos() ) + NL	# Misspelled, but works!
? @@( Q(54).Factors() ) + NL
? @@( Q(54).PrimeFactors() ) + NL
? @@( Q(54).PrimeDividors() )
Output
0
1
[ 1, 2, 3, 6, 9, 18, 27, 54 ]

[ 1, 2, 3, 6, 9, 18, 27, 54 ]

[ 2, 3 ]

[ 2, 3 ]

run on 2026-10-02 04:23 inside the library at commit 0e72e2e2c; taken from 05_isprime.ring(opens in a new tab)

The extensions of this method

Each extension, and whether it exists for this method; an extension that exists combines with the others (FindSTCS).

Extension
Exists
What it adds · The names
Q
yes
does what the method does, then returns the object, so the call can be chained · PrimeFactorsQ
QQ
no
chains on the next, more specific type of object (the Q ladder)
QQQ
no
chains on the most specific type of object (the Q ladder)
QRT
yes
returns the result as an object of the requested type · PrimeFactorsQRT, PrimeFactorsXTQRT
CS
no
takes a case-sensitivity flag
ST
no
takes the position to start from (StartingAt)
IB
no
takes bounds that are included (IncludingBounds)
XT
yes
the extended form: more parameters than the base method · PrimeFactorsXT, PrimeDividorsXT, PrimeDivirdosXT, PrimeDivisorsXT and 1 more
XTT
no
yet another extension: a further extended form, after XT
Z
no
includes the position in what it returns
ZZ
no
returns positions as sections, [start, end]
W
no
selects by a condition
WF
no
selects by a condition, with the expressive keywords (@NextItem, @PreviousItem...)
D
no
takes a direction, forward or backward (Directional)
F
no
takes a function (the condition or the update is given as a function); the forms document also uses F for the future form, which defers the action
Many
no
works on a collection of items instead of one (the plural form)
Except
no
takes exceptions, what to leave out (the exceptional form)
U
no
returns the result without duplication

Every example is a test file of the library, run inside the library for this page; only those whose output kept every promise their file wrote are shown.

See also