Monday, March 18, 2013

Prime Numbers in Math

Introduction to Math prime numbers:

In mathematics, a prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself. The first twenty-five prime numbers are:

Prime Numbers:- 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.

Condition: - If x is the prime number then the next factors of the number x is 1 and X.                                                                                                                                                                                                                               - Source from Wikipedia


Prime numbers in math:


To finding a prime number up to 100 means we can calculate directly but we need to find above hundred means we have follow the shortcut method.

For example:
Check if 131 is a prime number.

Step 1:

Now we have to take Square root for 131 = 11.44
Now rounding the value 11.4 to the nearest big whole number. We can write 11.4 as 12.

Step 2:

Then find the Prime Numbers below 12. The factors up to 12 are 2, 3, 5, 7, 1

Step 3:
The given number 131 is not divisible by 2, 3, 5, 7 and 11

131 is divisible by and the number itself.
So the number 131 is considered as prime number.


Example problems for math prime number:


Problem 1:

Find whether the number 53 is prime number or not?

Solution:

The given number 53 is a prime number. Why means it includes two factors 1 and 53 only. So the number 53 is a prime number.

Problem 2:

Find whether the number 79 is prime number or not?

Solution;

The given number 79 is divisible by one and itself only. So it is called as prime number.

Problem 3:

Find whether the number 39 is prime number or not?

Solution:

The given number 39 has more than two factors. That is 1, 6, 13 and 39. Hence the given number 39 is not a prime number.

Problem 4:

Find whether the number 434 is prime number or not?

Solution;

The given number 434 has more than two factors. That is 1, 2, 7, 31, 217, and 434. Hence the given number 434 is not a prime number.

Problem: - 5

Find whether the number 638 is prime or not?

Solution:

The given number is 638 has divided by two. So the factors for 638 are 1,2, 11, 29,    319 and 638. Hence 638 is not a prime number.

Practice problem for math prime numbers:

Problem 1:

Find whether the number 43 is prime or not?

Solution:

The given number 43 is a prime number.

Problem 2:

Find whether the number 126 is prime or not?

Solution:

The given number 126 is not a prime number.

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