It decided to give away candies to an attendant in children gathering. Since the number of participants was not found, a certain number was planned and three bags of candies were prepared.
The number of candies in each bag is same.
Answer the following questions.
(1) Is the number of participants planned considered to be or more how many persons from the conditions of following ① and ②?
① In case that the number of participants is as planned, eight candies cannot be given per person.
② In case that more eight persons participate than the planned number, six candies exactly per person can be given.
(2) When the following ③ condition is further added to ① and ② of (1), find all the planned numbers considered.
③ In case that more 13 persons participate than the planned number, seven candies per person can not be given even if one more bag is added.