Find the total number of divisors of 480,that are of form 4n+2,

Asked by devendra.mittal | 26th Oct, 2009, 01:21: PM

Expert Answer:

On taking LCM of 480 we find that the prime factors of 480 are

480  = 253151

Therefore, the number of divisors are = 6 x 2 x 2 = 24

They are:

1, 2, 4 , 8, 16, 32

3, 6, 12, 24, 48, 96

5, 10, 20, 40, 80, 160

15, 30, 60, 120, 240, 480

The divisor of 2 column of each row 2, 6, 10, 30 are of the form 4n + 2 for every n ≥ 0.

So, the total number of divisors of 480 which are of the form 4n + 2 is 4. 

 

Answered by  | 5th Jan, 2010, 10:04: AM

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