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3 Find the sum and number of divisors of 544 excluding 1 and 544.
A. 1089, 9
B. 589, 10
C. 579, 11
D. 1134, 12
See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

    544 = 2 5  + 171             

     The  number of factors are (5 + 1)x(1+1)= 12.

The factors also include 1 and 544. So , the answer is : 12 - 2 = 10

To Find Sum:

544= 25  + 171=(20+21+22+23+24+25) x (170 + 171)=(1 + 2+ 4+ 8+16+32)x(1 + 17) =63 x 18 = 1134

Excluding 1 and 544 = 545 we get, 1134- 545=589.

 

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