What is the greatest perfect square that is a factor of 1290

Answer 1

To find the greatest perfect square that is a factor of 1290, we need to factorize 1290.

First, let's find the prime factorization of 1290: 1290 = 2 * 3 * 5 * 43.

Now, we need to determine the largest square that can be formed using the prime factors.

We can form a square using the factors 2 * 3 * 5 = 30, which is a perfect square because each prime factor has an even exponent. However, we need to check if the factor 43 is squared as well.

Since 43 * 43 = 1849, which is greater than 1290, we can't form a square using the factor 43.

Thus, the greatest perfect square that is a factor of 1290 is 30.