Bob has 3 children, the product of their age is 72, his youngest child called justice, what are their ages

I have encountered this question before. Since only the product of the ages is given, there are a lot of possible combinations.

3 kids, has a youngest child - means that the 3 kids have different ages.

I performed a prime factorization on 72.

72 : 2 = 36

36 : 2 = 18

18 : 2 = 9

9 : 3 = 3

3 : 3 = 1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible age combination:

1 x 8 x 9 = 72

2 x 4 x 9 = 72

3 x 4 x 6 = 72

1 x 6 x 12 = 72

1 x 4 x 18 = 72