In how many ways can 480 be written as the product of two numbers which are coprime to each other?
2
- Two numbers are coprime if they have no common factors other than 1.
- Prime factorization of 480:
480 = 2^5 × 3 × 5.
- To find coprime pairs, we split prime factors into two groups with no common factors.
- The only possible way:
(32, 15) → 32 = 2^5, 15 = 3 × 5.
- Hence, the correct answer is 1 way.
Important Questions from Number System
Consider the following statements :
1. (25)! + 1 is divisible by 26
2. (6)! + 1 is divisible by 7
Which of the above statements is/are correct ?
If the sum S is divided by 8, what is the remainder ?
If the sum S is divided by 60, what is the remainder ?
Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.
How many composite numbers are there from 53 to 97 ?
