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  • Find the number of divisors of 10800 such that they can be in the form 4k + 2?Option: 1 10Option:

Find the number of divisors of 10800 such that they can be in the form 4k + 2?

Option: 1

10


Option: 2

12


Option: 3

8


Option: 4

14


Answers (1)

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Here 10800 = 24.33.52

Notice that 4k + 2 = 2(2k + 1), which means a ‘2’ multiplied by an odd number. That means we need to select exactly one ‘2’, and any number of 3s and 5s (as they’ll give an odd number on multiplication).

To select exactly one ‘2’, there is only 1 way. And the ‘3’s and the ‘5’s can be selected in 4 and 3 ways respectively. Therefore the required number of factors = 1 x 4 x 3 = 12.

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