If your keyboard has an LED indicator for the Num Lock key, the light should be turned on when the numbers can be typed.
In your case, double-check that the keys themselves aren't clogged with dust or other dirt by cleaning out your keyboard with a specialised keyboard cleaner.
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Carefully turn the keyboard or laptop upside down and gently shake it. Usually, anything beneath the keys or inside the keyboard will shake out of the device, freeing up the keys for effective functioning once again.