10 Questions
How many positive integers not exceeding 60 are divisible by 7?
5
Which of the following is false?
27 – 3 is divisible by 9
If a positive integer 'a' is congruent to 4 modulo 12, which of these integers is also congruent to 4 modulo 12?
-20
If a|b and b|c, what can be concluded about a and c?
a|c
What is the relationship between ab and cd if a|c and b|d?
$ab \mid cd$
What do we call it when an integer a divides another integer b?
Factor
What is the requirement for divisibility between integers a and d?
The remainder when dividing a by d must be 0.
What does the modulus function moda m b= give?
The remainder of a divided by b.
Under a modulus m, what set do all results of arithmetic operations belong to?
{0, 1, ..., m-1}
If (mod )a b m≡, what is the condition that must exist?
(a-b) is an integer multiple of m
Test your knowledge on division, factors, multiples, quotient, and remainder in mathematics. Explore the concepts of divisibility, factors, and unique quotient and remainder calculations when dividing integers.
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