Correct Answer - Option 1 : 7
Concept used:
Factors: The numbers which are multiplied to get another number.
Prime Factors: A factor that is a prime number and not a composite number is a prime factor.
Prime number: A number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).
If a number N = xa × yb × zc, where x, y, z are distinct prime numbers & a, b, c are natural numbers.
⇒ Number of prime factors = (a + b + c)
Calculation:
Factor of 6300 = 22 × 32 × 52 × 71
⇒ prime factors = 2, 3, 5, 7
⇒ Number of prime factors = 2 + 2 + 2 + 1 = 7
∴ The number of prime factors of 6300 is 7.
