the.com/prime factor
The indivisible atoms every number is secretly built from.
means A prime number that divides a given number exactly, with no remainder left over — one of the basic building blocks multiplied together to make that number.
from Straightforward compound: 'prime' traces to Latin primus, 'first,' because prime numbers have no factors before themselves except 1 — they're first in the sense of irreducible. 'Factor' comes from Latin factor, 'doer' or 'maker,' from facere, 'to make' — a factor is literally one of the things that 'makes' a number when multiplied together. Put them together and you get a term that's less poetic than it is precise: mathematicians needed a name for the specific primes that make up a number's multiplication, as opposed to primes in general.
- definition
- A prime number that divides a number exactly.
- uniqueness
- Every integer has exactly one prime factorization, guaranteed.
- security use
- Factoring huge numbers protects nearly all internet encryption.
- smallest proof
- Even numbers always hide a 2 in there.