Some numbers are given below
35, 5, 2,18,26,31,42,65,7,13
Find the percentage of
(w even number
(6) prime number
(6) even primes
id, odd primes
(e) Multiple of 5
(f) odd numbers
Answers
Answer:
Prime numbers are the positive integers having only two factors, 1 and the integer itself. For example, factors of 6 are 1,2,3 and 6, which are four factors in total. But factors of 7 are only 1 and 7, totally two. Hence, 7 is a prime number but 6 is not, instead it is a composite number. But always remember that 1 is neither prime nor composite.
We can also say that the prime numbers are the numbers, which are only divisible by 1 or the number itself. Another way of defining it is a positive number or integer, which is not a product of any other two positive integers. There is no defined formula to find if a number is prime or not (except to a certain range), apart from finding its factors.
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Table of Contents:
Definition
List
Chart
Properties
Difference Between Prime and Composite Numbers
Finding Prime Numbers
Prime Numbers 1 to 1000
Examples
Practice problems
FAQs
What is a Prime Number?
A prime number is a positive integer having exactly two factors. If p is a prime, then it’s only factors are necessarily 1 and p itself. Any number which does not follow this is termed as composite numbers, which means that they can be factored into other positive integers.
First Ten Prime Numbers
The first ten primes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.
Note: It should be noted that 1 is a non-prime number.
Also, read:
Co-prime Numbers
How To Find Prime Numbers
Prime And Composite Numbers
Prime Factors
History of Prime Numbers
The prime number was discovered by Eratosthenes (275-194 B.C., Greece). He took the example of a sieve to filter out the prime numbers from a list of natural numbers and draining out the composite numbers.
Students can practise this method, by writing the positive integers from 1 to 100 and circling the prime numbers and putting a cross mark to composite numbers.
List of Prime Numbers 1 to 100
As we know, the prime numbers are the numbers which have only two factors which are 1 and the number itself. There are a number of primes in the number system. Let us provide here the list of prime numbers that are present between 1 and 100, along with their factors and prime factorisation.
Prime Numbers between 1 and 100 Factors Prime Factorisation
2 1, 2 1 x 2
3 1, 3 1 x 3
5 1,5 1 x 5
7 1,7 1 x 7
11 1,11 1 x 11
13 1, 13 1 x 13
17 1, 17 1 x 17
19 1, 19 1 x 19
23 1, 23 1 x 23
29 1, 29 1 x 29
31 1, 31 1 x 31
37 1, 37 1 x 37
41 1, 41 1 x 37
43 1, 43 1 x 43
47 1, 47 1 x 47
53 1, 53 1 x 53
59 1, 59 1 x 59
61 1, 61 1 x 61
67 1, 67 1 x 67
71 1, 71 1 x 71
73 1, 73 1 x 73
79 1, 79 1 x 79
83 1, 83 1 x 83
89 1, 89 1 x 89
97 1, 97 1 x 97
Also, get the list of prime numbers from 1 to 1000 here.
Prime Numbers Chart
Before calculators and computers, numerical tables are used for recording all of the primes or prime factorizations up to a specified limit and are usually printed. The most beloved method for producing a list of prime numbers is called the sieve of Eratosthenes. This method results in a chart called Eratosthenes chart as given below. The chart below shows the list of prime numbers up to 100, which are represented in the coloured boxes.
Prime Numbers
Prime Numbers 1 to 200
Here is the list of prime numbers from 1 to 200, which we can learn and also crosscheck if there exist any other factors for them.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199
Properties of Prime Numbers
Some of the properties of prime numbers are:
Every number greater than 1 can be divided by at least one prime number.
Every even positive integer greater than 2 can be expressed as the sum of two primes.
Except 2, all other prime numbers are odd. In other words, we can say that 2 is the only even prime number.
Two prime numbers are always coprime to each other.
Each composite number can be factored into prime factors and individually all of these are unique in nature