Yes, they're the same thing.
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65 has four divisors (factors): 1, 5, 13, 65.
They are two names for the same thing.
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276.
81 has five divisors (also called factors): 1, 3, 9, 27, 81.
As a product of its prime factors in exponents: 22*32*52 = 900