Write the natural numbers from 1 to 30 . what fraction of them are prime ?
Answers
Answer:
natural number between 1to 30 is 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29.
prime no.between 1to30are 2,3,5,7,11,13,17,19,23,29
Given:
Write the natural numbers from 1 to 30
To Find:
what fraction of them are prime?
Solution:
Natural numbers is a number system number consisting from 1 to infinity. They are called counting numbers and doesn't include 0 and negative numbers.
Prime numbers are numbers that have only two factors, one the number itself and the other 1, which means that the number can be divided by only 1 and the number itself.
The natural numbers from 1 to 30 are,
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30
And the prime numbers from 1 to 30 are,
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
which is total of 10 prime numbers.
So the fraction of prime numbers in 30 natural numbers will be,
[tex]Fraction=\frac{10}{30}\\ =\frac{1}{3} [/tex]
Hence, 1/3rd of the natural numbers are prime numbers from 1 to 30.