the.com/divisibility

The art of splitting evenly, which is more than most people manage.

means The property of a number that lets it be divided by another number with nothing left over.

from Built from 'divisible,' which traces back to Latin 'dividere' — 'to divide,' from 'dis-' (apart) plus a root related to 'videre'... actually no, linked more plausibly to a root meaning 'to separate' — the 'vid/vis' piece shares ancestry with words of splitting and sighting apart. The '-ity' suffix, from Latin '-itas,' turns the quality into a noun: not just divisible, but the abstract fact of being so. Mathematicians inherited the word wholesale from everyday Latin-rooted vocabulary, sharpening it into a precise rule about remainders equaling zero.

rule for 3
Sum the digits, if divisible by 3 so is the number
rule for 11
Alternate add and subtract digits, check against 11
zero exception
Every nonzero number divides zero, zero divides nothing
prime link
Primes are numbers with exactly two divisors, period
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