
Write all prime numbers between 1 to 50.
Answer
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Hint: We use the definition of a prime number and check for the prime numbers between 1 and 50 using the definition.
* Any number is said to be a prime number if it has no other factors other than 1 and the number itself.
Complete answer:
We know a prime number has only two factors i.e. it is divisible by either 1 or by the number itself.
We check numbers from 1 to 50 in their factor form (if possible)
1 is neither prime nor composite.
Using the definition of prime numbers, we can say that numbers having factors only 1 and the number itself are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47
Prime numbers between 1 and 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.
Note:
Alternative method:
Students can write the numbers that are not prime i.e. are composite i.e. have factors other than 1 and the number and then write the list of prime numbers by deducting prime numbers from numbers in the list from 1 to 50.
Composite numbers from 1 to 50 are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49 and 50.
So we remove these numbers from 1 to 50 and get list of prime numbers
Prime numbers between 1 and 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47
* Any number is said to be a prime number if it has no other factors other than 1 and the number itself.
Complete answer:
We know a prime number has only two factors i.e. it is divisible by either 1 or by the number itself.
We check numbers from 1 to 50 in their factor form (if possible)
1 is neither prime nor composite.
Using the definition of prime numbers, we can say that numbers having factors only 1 and the number itself are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47
Prime numbers between 1 and 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.
Note:
Alternative method:
Students can write the numbers that are not prime i.e. are composite i.e. have factors other than 1 and the number and then write the list of prime numbers by deducting prime numbers from numbers in the list from 1 to 50.
Composite numbers from 1 to 50 are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49 and 50.
So we remove these numbers from 1 to 50 and get list of prime numbers
Prime numbers between 1 and 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47
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