504 can be expressed as the product of prime numbers as

The correct answer is Option (2) → 2×2×2×3×3×7

To write a number as a product of primes, divide it by the smallest prime that goes into it, again and again, until only 1 is left. Every divisor used is one prime factor.

• Dividing by 2 three times: \(504\to252\to126\to63\)

• 63 is odd, so dividing by 3 twice: \(63\to21\to7\)

• 7 is itself a prime, which leaves 1

• So \(504=2^3\times3^2\times7=2\times2\times2\times3\times3\times7\)