Number Properties
Number properties questions test your understanding of integers, divisibility, factors, remainders, and odd/even behavior. These problems often have quick logical solutions once you recognize the underlying rule. Comfort with prime factorization is especially valuable.
Divisibility and Factors
Break numbers into their prime factors to reason about divisibility and common factors. The greatest common factor is the product of shared prime factors; the least common multiple takes the highest power of each prime. Knowing divisibility rules for 2, 3, 5, and 9 saves time.
Remainders and Consecutive Integers
For remainder questions, compute the division directly or look for a repeating pattern. Consecutive integers can be modeled as n, n+1, n+2 (or n, n+2, n+4 for even/odd), which turns word problems into simple equations. Watch the parity of your terms.