Prime Factorization of 84
First, determine the prime factors of the number 84.
- $84 = 2 \times 42$
- $42 = 2 \times 21$
- $21 = 3 \times 7$
The prime factorization of 84 is $2 \times 2 \times 3 \times 7$.
Identify Unique Prime Factors
The unique prime factors contributing to the number 84 are the distinct prime numbers obtained from the factorization.
The unique prime factors are 2, 3, and 7.
Calculate Sum of Prime Factors
Sum the identified unique prime factors.
Sum = $2 + 3 + 7$
Sum = $12$
The sum of the prime factors of 84 is 12.
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 ?
