SOLUTION: What is the smallest number 1323 must be divided by to make it a perfect square ?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: What is the smallest number 1323 must be divided by to make it a perfect square ?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1028751: What is the smallest number 1323 must be divided by to make it a perfect square ?
Found 3 solutions by Alan3354, ikleyn, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the smallest number 1323 must be divided by to make it a perfect square ?
-----------
Divide it by some numbers, see what you get.
============
Unless you restrict it to integers, there is no "smallest number."
---
1323/(1/3) = 3969 = 63^2
1323/(1/27) = 35721 = 189^2

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
If you restrict divisors by integer numbers, then the smallest divisor is 3:

1323%2F3 = 441 = 21%5E2.


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
What is the smallest number 1323 must be divided by to make it a perfect square ?
PRIME factors of 1,323: 3 * 3 * 3 * 7 * 7. Take away one 3 and you're left with 2 3s and 2 7s.
How do you get rid of the 3? highlight_green%28matrix%281%2C3%2C+Divide%2C+by%2C+3%29%29.
You then get: matrix%281%2C6%2C+%221%2C323%22%2F3+=+441%2C+which%2C+is%2C+a%2C+perfect%2C+square%29