What does "modulo" mean?

The operation or function that returns the remainder of one number divided by another.

What is a synonym for "modulo"?

Common synonyms include: apart, apart from, aside from, bar, barring, besides.

Pronounced //ˈmɒd͡ʒələʊ//.

//ˈmɒd͡ʒələʊ// noun, prep

noun, prep ·Uncommon ·Advanced level

Noun

1
The operation or function that returns the remainder of one number divided by another. uncountable

Preposition

1
Given a specified modulus of.
"21 and 84 are congruent to each other modulo 9, since both numbers leave the same remainder, 3, when divided by 9."
2
Except for differences accounted for by.
""A is the same as B modulo C" means A is the same as B except for differences accounted for by C."
3
With due allowance for (a specified exception or particular detail).
"In the Lisp programming language, the "tail recursion modulo cons" technique allows functions that would be tail recursive but for a cons call to be transformed into a tail recursive form."

"This equation has no solutions modulo p."

From Latin modulō, ablative of modulus (“a measure”).

Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.