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1Mathematics

(in number theory) with respect to or using a modulus of a specified number. Two numbers are congruent modulo a given number if they give the same remainder when divided by that number.*‘19 and 64 are congruent modulo 5’**‘8 is equivalent to 1 in arithmetic modulo 7’**‘All that is left to determine is the case of linking numbers congruent to 0 modulo 4.’**‘I mathematically proved that the repeated addition process is the same as looking at the number modulo 9, i.e. divide by 9 and look at the remainder.’**‘In particular he examined the remainders of powers of a number modulo n.’**‘He also made contributions on the uniform distribution of numbers modulo 1 which are fundamental in analytic number theory.’**‘Each time you are ready to make a flip, you note the number that appears in the upper righthand corner, and calculate the successor of that number modulo 4.’*

- 1.1as modifier Using moduli.
*‘modulo operations’**‘In the mass-conserving variation, modulo 3 arithmetic is more useful.’*

**Origin**

Late 19th century from Latin, ablative of modulus (see modulus).

**Pronunciation**

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