Question

The sum of prime factors of 63
A.14
B.10
C.8
D.4

Answer 1

Hint: Here, we will first use that prime factors of 63 will include only the prime numbers, which are factors of it. And then will we use that the sum of two odd numbers is an even number to find the required value.

Complete step-by-step answer:
We are given that the number is 63.
Find the factors of the above number using the prime factorization, we get
\[ \Rightarrow 63 = 3 \times 3 \times 7\]
We know that prime factors of 63 will include only the prime numbers, which are factors of it.
So, we have found out that the prime factors of 63 are 3 and 7.
Adding the number 3 and 7 to find the sum of the prime factors of 63, we get
\[ \Rightarrow 3 + 7 = 10\]
Hence, the sum of prime factors of 63 is 10
Therefore, option B will be the correct answer.

Note: In this question, we have to use the basic properties of least prime factors like when the numbers are even, if the least prime factor be 2. Also, the property that the sum of two odd numbers is an even number is the crucial step for solving this question.