Angular | useFactory to pass arguments to service

I'm trying to provide a service in the following way:

my-module.module.ts

import { NgModule } from '@angular/core';
import { MyService} from './my-service.service';

@NgModule({
  providers: [
    {
      provide: MyService,
      useFactory: () => new MyService(2),
    },
  ],
})
export class MyModule {}

my-service.service.ts

import { Inject, Injectable } from '@angular/core';


@Injectable()
export class MyService {
  constructor(
    private n: number
  ) {
    console.log(this.n);
  }
}

But I receive the following error:

error NG2003: No suitable injection token for parameter 'n' of class 'MyService'. Consider using the @Inject decorator to specify an injection token.

There is this workaround, to use Inject(''), but this seems weird and is not mentioned in the documentation:

my-service.service.ts

import { Inject, Injectable } from '@angular/core';


@Injectable()
export class MyService {
  constructor(
    // weird fix
    @Inject('') private n: number
  ) {
    console.log(this.n);
  }
}

The Angular version that I'm using is 13.3.11