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.

Question: 1. How many times management did give incentive to Sundaram?
2. What is the maximum increment he got in his salary?
3. What is the least incentive he got? What would be his salary had he got the same type of increment every time?
4. Had his first salary been 9 zeds what would be his present Salary?.
please give me the answer with steps.

1 answer

360/5 = 72 = 22233

Did you know?

Did you know that Sundaram's salary at his company kept getting multiplied every few months based on a prime number of times only? His initial salary was 5 zeds and eventually reached a salary of 360 zeds. Let's explore some interesting facts about this scenario: 1. To determine how many times management gave incentive to Sundaram, we need to find the factors of 360 (his final salary) that are prime numbers. By finding these factors, we can determine the number of times his salary was multiplied. 2. The maximum increment Sundaram received in his salary can be found by dividing his final salary (360) by his initial salary (5). This division would give the number of times his salary was multiplied. 3. The least incentive Sundaram received can be found by dividing his final salary (360) by the largest prime factor of 360. This division would give the salary he would have if he received the same type of increment every time. 4. If Sundaram's first salary had been 9 zeds instead of 5 zeds, we can follow the same steps as above to determine his present salary. By solving these questions with the given steps, we can learn more about how Sundaram's salary increased over time at his company.

360/5 = 72 = 2*2*2*3*3

360/5 = 72 = 22233