#NumbersPractice

#CAT_2022

Consider, N = 2^5 x 3^2 x 5^2; Find:

1. Total number of factors?
2. Total number of even factors?
3. Total number of odd factors?
4. Total number of Prime factors?
5. Total number of non-prime factors?
6. Total number of factors ending with 0?
7. Total number of factors ending with 5?
8. Total number of perfect square factors?
9. Total number of perfect cube factors?
10. Total number of factors which are multiple of 2 x 3 x 5?
11. Total number of factors which are multiple of 30 but not of 90?
12. Total number of factors which are multiple of 3?
13. Total number of factors which are multiple of three and odd?
14. Total number of factors which are multiple of 3 but not multiple of 9?
15. Total number of factors which are multiple of 100?
16. Total number of factors which are multiple of 6 but NOT of 9?
17. Total number of factors which are having only 2 prime factors?
18. Total number of factors which are perfect squares as well as perfect cubes?