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PrintSouth African Mathematics Olympiad
South Africa number theory
Problem
If is a natural number and is a natural number, how many possible values are there for ? (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Solution
must be a divisor of , and the possibilities are , , , , , , which is in all.
Final answer
C
Techniques
Factorization techniquesτ (number of divisors)Integers