Final answer:
Multiple gestation is the history factor that strongly suggests the likelihood of experiencing afterpains, as the uterus has been more significantly stretched compared to a single gestation.
Step-by-step explanation:
The history factor that strongly suggests that a postpartum client will experience afterpains is c. Multiple gestation. Afterpains are the contractions that occur after childbirth as the uterus contracts to return to its pre-pregnancy size. These contractions are more common and more intense in women who have had a multiple gestation due to the increased stretching of the uterus. Factors such as primiparity (first pregnancy), epidural anesthesia, or a cesarean birth do not have as strong of an association with afterpains compared to multiple gestation.