Question
Calculate the difference between number of factors and sum
of factors of 396.Solution
Since, 396 = 2 2 Â X 3 2 Â X 11
So, number of factors = (2 + 1) X (2 + 1) X (1 + 1) = 3 X 3 X 2 = 18
If number is written as X a  X Y b  X Z c , then its sum of factors (N) is given as:
N = [(X (a + 1)Â - 1)/(X - 1)] X [(Y (b + 1) Â - 1)/(Y - 1)] X [(Z (c + 1) Â - 1)/(Z - 1)]
Sum of factors = [(2 (2 + 1)  - 1)/(2 - 1)] X [(3 (2 + 1)  - 1)/(3 - 1)] X [(11 (1 + 1) – 1)/(11 - 1)] = 7 X 13 X 12 = 1092
Required difference = 1092 - 18 = 1074
India is the ______ largest fish-producing country in the world.
Which of the following animals breathes through its skin?
Which of the following is NOT a public sector insurance company?
The reign of Raja Krishnadev Raya is considered the golden age of which literary language?
The growing voice box in boys can be seen as a protruding part of the throat called ______.
Who among the following is the author of the book 'Amnesty'?
In 2021, who among the following was awarded the 12th Kalasagar Awards for exemplary contribution to the field of Mohiniyattam?
Which of the following crop is not grass?
Under funding support from MUDRA Scheme, how much amount under Micro Credit Scheme (MCS) offered mainly through Micro Finance Institutions?
In which year were Electoral Bonds introduced, allowing individuals and corporate entities to donate unlimited sums of money to political parties anonym...
