Answer:
Part A) Nancy can arrange the posters in 4 ways
Part B) Nancy can arrange the posters in 2 ways
Explanation:
The complete question is
Nancy has 10 movie posters. She wants to hang them on a wall in equals rows.
A) Find all the ways that she can arrange the posters.
B) How would the factor pairs change if Nancy had only 5 posters to arrange?
Part A) Find all the ways that she can arrange the posters.
we know that
The factors of 10 are
1x10 -----> 1 row of 10 posters
2x5 -----> 2 rows of 5 posters
5x2 -----> 5 rows of 2 posters
10x1 -----> 10 rows of 1 poster
therefore
Nancy can arrange the posters in 4 ways
Part B) How would the factor pairs change if Nancy had only 5 posters to arrange?
we know that
if Nancy had only 5 posters to arrange
then
The factors of 5 are
1x5 -----> 1 row of 5 posters
5x1 -----> 5 rows of 1 poster
therefore
Nancy can arrange the posters in 2 ways