E/3

Part of 2020 BAMO

Problems(1)

2020 BAMO 8: E, BAMO 12: 3 Inserting Digits

Source:

202020

is a multiple of

91

. For each positive integer

n

n

2

's may be inserted into the digits of

202020

such that the resulting

(n+6)

-digit number is also a multiple of

91

.
For example, a possible way to do this when

n=5

is 22020220222 (the inserted

2

's are underlined).