Imagine a simple spring, a simple harmonic oscillator where where the mass is 1 kg and the spring constant is 10 N/m.

The angular frequency would be around 3.162 and frequency would be 0.503 (I think). I was doing a question and the question said if the mass of this system gets increased with a factor of for, so for a 4 kg, how does the frequency change?

I calculated it to be 2.4834 but the answer said it will decrease to 1/2 of its original value. How can it decrease when it has clearly have increased from 0.503 to 2.4834? Did I calculate wrong?

Note: I might have calculated the frequencies wrong, steps of how to do it will be appreciated as well.