Part B
How many complete centerpieces can she make? Find the exact answer.
centerpieces
To find the exact number of complete centerpieces that she can make, we need to determine the common factors of 18, 24, and 36.
The prime factorization of 18 is 2 * 3^2.
The prime factorization of 24 is 2^3 * 3.
The prime factorization of 36 is 2^2 * 3^2.
To find the common factors, we take the lowest exponent for each prime factor.
So the common factors are 2^2 * 3 = 12.
Therefore, she can make exactly 12 complete centerpieces.