NUMBER SYSTEM Shorts |

Описание: Can you solve this Number System question on Factors? 🤯 Question: If N = 8^5, then N is divisible by how many positive perfect cubes?

Most students get confused with the base number! In this video, I show you how to convert the base to a prime number (8^5 →2^15 ) and use a simple indices trick to find the answer quickly.

Concept Used:

1.Prime Factorization: Convert 8^5 to 2^15.

2.Condition for Perfect Cubes: The power of the prime factor must be a multiple of 3 (e.g., 2^0,2^3,2^6...).

3.Counting: Find how many multiples of 3 exist within the total power.

This concept is extremely important for SSC CGL, CHSL, MTS, CPO, CDS, CAT, and Railway exams.

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