00:01
Find the smallest number by which one, 17 ,496 must be divided, so the quotient is a perfect cube.
00:09
So what we want to do is break this down into prime factors.
00:13
So i look at this, and i did a little quick calculation, and i see that i can divide six into 17 ,496, and that would be 2 ,916.
00:25
Now i know i can divide that by four, so that's going to be four times seven, seven, seven.
00:31
729.
00:32
Well, 729, if i remember correctly, let's go see, is going to be 27 times 27.
00:42
Now, i just broke down the big number so far.
00:46
I can now break down 6 into 2 and 3, so i'm going to circle those because i can't break them down anymore.
00:52
4 is 2 and 2.
00:54
I want to circle that...