Local news site Kildare Now are reporting that the factory in question is the Irish Dog Foods plant in Naas.
Infection control experts are working with the direct provision centres, and the Kildare factory has been closed.
A small number of cases reported today are associated with the construction industry, and there are four clusters in private households and extended families.
ACTING Chief Medical Officer Ronan Glynn has warned that Covid-19 is "accelerating across Europe" and that he hopes Ireland can avoid a "similar scenario".
The COVID-19 Dashboard provides up-to-date information on the key indicators of COVID-19 in the community.
Public health officials are pleading with people to double down on their efforts to fight Covid-19 this bank holiday weekend.
The number of newly diagnosed infections in the Republic of Ireland is significantly higher than it has been for several weeks.
With the new cases confirmed today, that average has risen to the low 30s, he added.
10 of those cases were in the midlands, nine in Laois and one in Westmeath.
Half are associated with outbreaks.
Dr Glynn said it was too early to say when a decision would be taken.
He said the focus has to be on ensuring that as few people as possible are infected with coronavirus and Ireland does not end up in a situation similar to the one that occurred in March and April.
Washing of hands is the most important measures schools can encourage students to follow, Dr Glynn said ahead of their planned reopening at the end of August.
He appealed to the public to be active in following public health advice over the coming days.
Four of the patients are in intensive care units, which is down from a peak of 160.
There has now been a total of 1,763* COVID-19 related deaths in Ireland.
An additional eleven COVID-19 cases have emerged in Co Clare.
The R number for the coronavirus reproductive rate in Northern Ireland is at between 0.5 and 1, the Department of Health said.
The operating system is designed by Google and Apple and its use will require Bluetooth to remain on.
"Ironically the lower the numbers get, the more we need to work at this to keep them there, keep them suppressed".