How many rectangular arrangements are possible if the band adds one member and becomes a 61 member bands?

To determine the number of rectangular arrangements for a 61-member band, we need to find the factor pairs of 61. Since 61 is a Prime number, its only factors are 1 and 61, which means the only rectangular arrangements possible are 1 row of 61 members or 61 rows of 1 member. Therefore, there are only two possible rectangular arrangements for a 61-member band.