Analysis: From the meaning of the question, we can see that their age is just one year older than Fang's, and it is exactly four natural numbers from small to large. The product of these four numbers is 360. We can decompose 360 into prime factors and find these four natural numbers.

360=2×2×2×3×3×5

Because in the factorization formula of prime factor 360, the product of any two or more factors must be the divisor of 360, we can know that these four natural numbers are 3, 4, 5 and 6 through collocation.

A: These four children are three, four, five and six years old.