Number Theory
Problems related to integers, prime numbers, congruences, etc.
Problems in this category
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
The problem is to find the least common multiple (LCM) of 180 and 54.
Least Common MultipleLCMPrime FactorizationDivisibility
2025/3/6
We are given that $X = a^2 \times 7^{b+2}$ and $Y = a^3 \times 7^2$. We are also given that the grea...
Greatest Common FactorLeast Common MultiplePrime Factorization
2025/3/6