Competition Math Arena
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Number Theory

Units digit of powers

Find the last digit of a^n using its cycle.

Practise

Modular exponentiation

Compute a^n mod m without a calculator.

Practise

Counting divisors

How many divisors does a number have?

Practise

GCD & LCM

Least common multiples from prime structure.

Practise

Chinese Remainder

Smallest number with given remainders.

Practise

Trailing zeros of n!

Count zeros at the end of a factorial.

Practise