Question

Kyra has a rock collection.When she puts her rocks into 2 equal piles,there are no rocks left over.When she puts her rocks into 3 equal piles ,there are still no rocks left over .When she puts her rocks into 4 equal piles there are still no rocks left over.How many rocks could kyra have?

Answer 1

any multiple of 12

Since 2, 3 and 4 divide exactly into the number of rocks

We are looking for the common multiples of 2, 3 and 4

2 × 3 × 4 = 24 is possible but dividing by 2 gives 12 the lowest common multiple

Any multiple of 12 gives a possible number of rocks.