Question

How many prime factors are there in prime factorization of 5005?
A.2
B.4
C.6
D.7

Answer 1

Hint: First see if this number is divisible by the smallest prime number i.e. 2. Then with 3, 5, 7, 9 and so on. The prime number by which the given number is divisible is the prime factor of the number.

Complete step-by-step answer:
The number 5005 is clearly not divisible by 2 and three therefore we’ll jump to 5
5005 is divisible by 5, 7, and thirteen
∴5005=5×7×11×13
Thus the number have 4 prime factors
∴ the correct option is ‘B’.
Note: prime factors (a factor that is a prime number) : Any of the prime numbers that can be multiplied to give the original number are called prime factors. Prime numbers are the numbers that have only two factors one and themselves.