Number Theory
Problems related to integers, prime numbers, congruences, etc.
Problems in this category
We are asked to find which of the given numbers cannot be the base of the number $12012$.
Number BasesBase Conversion
2025/3/31
The problem asks us to classify given numbers into different sets of numbers: - N: Natural numbers -...
Number SetsReal NumbersRational NumbersIrrational NumbersIntegersNatural Numbers
2025/3/30
We are given the number 243, which is not a perfect square. We need to find the smallest natural num...
Perfect SquaresPrime FactorizationInteger Properties
2025/3/30
The problem asks us to find the smallest natural number that we need to divide 675 by to obtain a pe...
Prime FactorizationPerfect SquaresDivisibility
2025/3/30
Determine whether the number $\frac{\pi}{5}$ is rational or irrational.
Rational NumbersIrrational NumbersReal NumbersPi
2025/3/21
The problem asks whether the number $7.11$ is rational or irrational.
Rational NumbersIrrational NumbersNumber Representation
2025/3/21
The problem asks to find the smallest natural number that we need to multiply 243 with to make it a ...
Perfect SquaresPrime FactorizationInteger Properties
2025/3/21
We are given the number 675, which is not a perfect square. We need to find the smallest natural num...
Prime FactorizationPerfect SquaresDivisibility
2025/3/21
The problem is to convert denary numbers (decimal numbers) from 1 to 15 into binary numbers. Also, w...
Binary NumbersDecimal to Binary ConversionNumber SystemsBase Conversion
2025/3/10
The problem asks to convert binary numbers to their decimal equivalents. We are given a list of bina...
Binary NumbersDecimal ConversionNumber Systems
2025/3/10