Question

There are $105$ flower seeds that need to be planted in flower vases. Find the minimum number of flower vases required such that prime numbers of flower seeds can be planted in each vase evenly.

Answer 1

Prime factorization of $105$ is $3\times 5\times 7.$

If $7$ seeds are planted in each vase, total number of vases required for planting $105$ seeds is
$\frac{105}{7}=\frac{3\times 5\times 7}{7}=15$

Also, $7$ is a prime number.

$\therefore$ Minimum $15$ flower vases are required.