💥repeatedrepeatedrepeated💥

This challenge concerns strings such as:

"repeatedrepeatedrepeated"

... that are obtained by repeating a smaller string, which in this case is the string "repeated".

On a related note, since the string above is made of 3 repetitions, one way to produce this string is via the code 3 * "repeated".

Write a function that, given a string, either:

• Returns False if the string isn't made by repeating a smaller string or ...
• Returns the number of repetitions if the string repeats a smaller string.

Examples

is_repeated("repeatedrepeatedrepeated") ➞ 3

is_repeated("overintellectualizations") ➞ False

is_repeated("nononononononononononono") ➞ 12

is_repeated("moremoremoremoremoremore") ➞ 6

is_repeated(",,,,,,,,,,,,,,,,,,,,,,,,") ➞ 24

Notes

To keep things a little simpler, all strings in the tests will have length exactly 24, just as in all the examples above. In particular, the answers will always be divisors of 24.