Showing posts with label prime numbers. Show all posts
Showing posts with label prime numbers. Show all posts

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.