[Verse 1]
When "a divides b" appears in sight
There's a secret hiding in plain view
An integer k exists somewhere
Making b equal a times k, it's true
Zero bows to every number's reign
Since zero equals anything times none
[Chorus]
Divisibility's the key
When one fits perfectly
Into another's frame
No remainders in this game
A divides B means there's a way
To build B from A today
Integer multiplication's dance
Gives every factor its chance
[Verse 2]
The number one's a universal friend
Divides each number without exception
Transitivity creates a chain
If a divides b, and b splits c
Then a divides c automatically
Logic flows like dominos cascading down
[Chorus]
Divisibility's the key
When one fits perfectly
Into another's frame
No remainders in this game
A divides B means there's a way
To build B from A today
Integer multiplication's dance
Gives every factor its chance
[Bridge]
Linear combinations tell the tale
If a divides both b and c
Then a divides bx plus cy
For any integers x and y
The pattern spreads through algebra's web
Creating order from the thread
[Verse 3]
Properties stack like building blocks
Zero yields to every divisor's call
One claims ownership of all
Transitivity links the whole parade
While linear combinations never fade
Mathematics weaves its elegant spell
[Outro]
When you see those straight lines flanking letters
Remember k exists somewhere in between
Making perfect integer connections
In divisibility's crystalline machine