Sundaram joined a company for a fixed salary per month. After few months, the management felt happy with his work and multiplied his salary by some n times. This happened every few months and his salary kept getting multiplied and he reached a salary of 360 zeds. Every time the management increased the salary by a prime number of times only and his initial salary was 5 zeds.How many times management did give incentive to Sundaram?
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Given : Company Multiplied Sundram salary by n times ( n being a prime number) few time. His inital Salary was 5 Zeds & now his salalry in 360 Zeds
To find : How many times management did give incentive to Sundaram
Solution:
360 = 2 * 180
= 2 * 2 * 90
= 2 * 2 * 2 * 45
= 2 * 2 * 2 * 3 * 15
= 2 * 2 * 2 * 3 * 3 * 5
(2 * 2 * 2 * 3 * 3 ) * Initial Salary
Salary increased every time by a prime number times
Hence Sundaram salary increased on 5 times
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