SOLUTION: Find the largest perfect square factor of 704

Algebra ->  Square-cubic-other-roots -> SOLUTION: Find the largest perfect square factor of 704      Log On


   

Question 33101: Find the largest perfect square factor of 704
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
built it up gradually:

704 is
2*352
2*2*176
2*2*2*88
2*2*2*2*44
2*2*2*2*2*22
2*2*2*2*2*2*11

this is as far as you can go, since 2 and 11 are both primes.


Looking at the set of 2's...
2*2*2*2*2*2 is 64

so we have 64*11

64 is the largest perfect square factor (since 8%5E2 is 64).

jon.