Problema Solution
A large bakery has 792 loaves of bread to despatch. The manager says that he can pack the loaves in equal numbers on to trays withhold 11, 9, 8 or 6 loaves. Is he correct? If he is how many trays would be required for each case?
Answer provided by our tutors
792 prime factors to 2^3 * 3^2 * 11
9 = 3^2
8 = 2^3
6 = 2*3
yes, he is correct, because 11, 9, 8 and 6 each divide evenly into 792
11: 792 / 11 = 2^3 * 3^2 = 8 * 9 = 72 trays
9: 792/9 = 2^3 * 11 = 8 * 11 = 88 trays
8: 792/8 = 3^2 * 11 = 9 * 11 = 99 trays
6: 792/6 = 2^2 * 3 * 11 = 4 * 33 = 132 trays