MATH SOLVE

4 months ago

Q:
# What is the greatest perfect square that is a factor of 396? Explain

Accepted Solution

A:

A perfect square is a number whose square root is a whole number. For example, 81 is a perfect square because √81 is equal to 9. Now, we should find the greatest number that could evenly divide 396. The factors of 396 are: 1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396. From the numbers listed, the perfect squaes are 4, 9, and 36. Therefore, the greatest perfect square that is a factor of 396 is 36.