How many different prime factors does 2400 have?

The correct answer is Option (3) → 3

Write the number as a product of prime powers; each different prime base counts once, whatever its power.

• \(2400=24\times100=(2^{3}\times3)\times(2^{2}\times5^{2})\)

• \(2400=2^{5}\times3\times5^{2}\)

• Different primes: 2, 3 and 5

2400 has 3 different prime factors.