Marcus has 824 marbles and wants to put marbles into 5 bags to give as gifts. Marcus knows he cannot divide the marbles evenly, but he wants to use as many of the marbles as possible, while making sure there is the same amount in each bag. How many marbles will be in each bag Please Explain.

there will be 164 marbles in each bag

Step-by-step explanation:

The question is simply asking you to divide the total number of marbles by five; for each bag. 824/5= 164.8 and 164.8 rounded down; (underline means important), is 164 marbles.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18