To find the number of neutrons in an atom, you can use the formula:
\[ \text{Number of neutrons} = \text{Atomic mass} - \text{Number of protons} \]
In this case, the atomic mass of tungsten (W) is approximately 183.84, and the number of protons is 74.
Now, plug the values into the formula:
\[ \text{Number of neutrons} = 183.84 - 74 = 109.84 \]
Now, rounding this to the nearest whole number gives us:
\[ \text{Number of neutrons} \approx 110 \]
So, an atom of tungsten has approximately 110 neutrons.