National surveys can either be a census (all adults in the entire country are surveyed), or a sample, With respect to a sample, the estimated sample size depends on how accurate the results need to be. For example, if you required a prevalence estimate with +/- 1% accuracy with 95% confidence, you would need to survey 8763 people.
Naveed, you might consider tracking down the summary documentation of the national survey you're interested in. That's where you'll find information about that. So if there's a website for the survey, if it doesn't have the data, it probably at least has the survey questionnaire, perhaps a data dictionary, as well as the summary of results document, including sample size (by region, urban-rural, male-female etc.).
Determining the sample sizes involve resource and statistical issues. Usually, researchers regard 100 participants as the minimum sample size when the population is large. However, In most studies the sample size is determined effectively by two factors: (1) the nature of data analysis proposed and (2) estimated response rate.
For example, if you plan to use a linear regression a sample size of 50+ 8K is required, where K is the number of predictors. Some researchers believes it is desirable to have at least 10 respondents for each item being tested in a factor analysis, Further, up to 300 responses is not unusual for Likert scale development according to other researchers.
Another method of calculating the required sample size is using the Power and Sample size program (www.power-analysis.com).