Find out the number of factors of the number 6222?

Solution: Prime factorization and divisor count.

1. Prime factorization: 6222 = 2 × 3111 = 2 × 3 × 1037 = 2 × 3 × 17 × 61.

2. All prime factors are distinct and each has exponent 1. Use the divisor-count formula: if n = p1^a · p2^b · ... then number of divisors = (a+1)(b+1)....

3. Here each exponent is 1, so number of divisors = (1+1)^4 = 16.

Answer: 16 divisors.