Question

Answer plz Nina has a collection of 20 seashells she wants to display in rows List all of the ways that nina can display her shells in equal rows.

Answer 1

Nina has 20 seashells, and she needs to display them in rows with equal number of seashells in each row.

She wants to know what are the different possible ways to do that

This is a problem of factorization. We need to determine all the factors for the number of seashells she has

Factorizing 20:

20 = 1 × 2 × 2 × 5

Now, dividing 20 by each factor, we will get to know the possible ways in which she can arrange the seashells

Starting with the smallest factor, i.e. 1 and moving on to larger factors

20 ÷ 1 = 20. So she can have 1 row, with 20 seashells

20 ÷ 2 = 10. She can have 2 rows, with 10 seashells in each row

20 ÷ 4 = 5. She can have 4 rows, with 5 seashells in each row

20 ÷ 5 = 4. She can have 5 rows, with 4 seashells in each row

20 ÷ 10 = 2. She can have 10 rows, with 2 seashells in each row

20 ÷ 20 = 1. She can have 20 rows, with 1 seashell in each row

So there are total of 6 ways to arrange the seashells.