In how many ways can 360 be written as product of two of its factors?
Explanation:
Number of ways of writing a non-perfect square as a product of two of its factors is equal to half the number of its factors.
360 = 23 × 32 × 5
Number of factors of 360 = (3 + 1)(2 + 1)(1 + 1) = 24
∴ Number of ways of writing 360 as a product of two of its factors = ½ × 24 = 12 ways.
[1×360, 2×180, 3×120, 4×90, 5×72, 6×60, 8×45, 9×40, 10×36, 12×30, 15×24, 18×20]
Hence, 12.
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.