Question
Determine how many distinct divisors the number 520
has.Solution
Factors for a given number 520 are 2 x 2 x 5 x 2 x 13 = (23 x 5 x 13) When a number 'N' is represented as 'N' = ap X bq X cr...... (where 'a', 'b' and 'c' are primes), then total number of factors of 'N' = (p + 1) X (q + 1) X (r + 1)..... So, total number of factors = (3 + 1) X (1 + 1) X (1 + 1) = (4 X 2 X 2) = 16 Hence, option c.
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