Question

I am thinking of a number between 20 and 50. It is even and has 9 factors. What is it?

Answer 1

The answer is 36

Explanation:

Since the number has nine factors, it must be a root.

6*6 is 36, and 6 counts as one number when factored because it is a root.

1,2,3,4,6,9,12,18,36 This is the factors of 36.

36 is also even, so it matches the statement.

Answer 2

36

Explanation:

36 is a composite number, and it is 6 squared. 36 = 1 x 36, 2 x 18, 3 x 12, 4 x 9, or 6 x 6. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Prime factorization: 36 = 2 x 2 x 3 x 3, which can also be written 36 = 2² x 3². Since √36 = 6, a whole number, 36 is a perfect square.