Find out the number of factors of the number 6222?
2025
Find out the number of factors of the number 6222?
Answer: A. 16 — Solution: Prime factorization and divisor count. Prime factorization: 6222 = 2 × 3111 = 2 × 3 × 1037 = 2 × 3 × 17 × 61. All prime factors are distinct and…
- A.
16
- B.
15
- C.
14
- D.
18
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Correct answer: A
Solution: Prime factorization and divisor count.
Prime factorization: 6222 = 2 × 3111 = 2 × 3 × 1037 = 2 × 3 × 17 × 61.
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)....
Here each exponent is 1, so number of divisors = (1+1)^4 = 16.
Answer: 16 divisors.
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