Question

Write the prime numbers between 50 to 100.

Answer 1

Hint:We know that 2 is the only even prime number, the rest of prime numbers are odd. Hence consider the odd numbers between 50 and 100 and find their factor. If a number has a factor as only 1 and the number itself then the number is a prime number

Complete step-by-step answer:
Prime numbers are the positive integers having only two factors, 1 and the number itself. For example, we can find the factors of 6 as 1, 2,3 and 6. Which are factors in total.
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.For example 6 is composite number as we can find number 6 as at least one divisor other that 1 i.e 2,3 and 6.Hence, 6 is a composite number.
Let us find the factors of 11, which are only 1 and 11 totally two. Hence 11 is a prime number.
Now we have been asked to find the prime no’s between 50 to 100. We can find it only with the help of factors. The first 10 prime no’s are 2, 3,5,7,11,13,19,23,29.
From this we can say that 2 is the only even prime number the rest of the prime no’s are odd. Hence we can neglect the even number between 50and 100 as they are composite and they have a factor. Let us consider the odd number between 50 to 100.

Hence from the above table we can say that the numbers 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 are the prime number. Thus there are a total of 10 prime numbers between 50 to 100.

Note: It should be noted that 1 is neither prime nor composite number. It's difficult to find all the factors of no’s between 50 to 100. Thus limit your search to odd no’s as the even number except 2 cannot be prime number.