She had 1 bear left over. That means she was able to divide 51 bears evenly. 51 can be divided by only 2 numbers (other than 1 and 51), NAMELY, 3 and 17, both of which are prime.
She either made 17 groups of 3 or 3 groups of 17. Either way, she'd use 51 bears and have 1 left over.