Monday, December 3, 2012

Prime Example Definition

Introduction to prime example definition:

In this section we have prime example definition. Prime numbers are divisible by itself and one. The non prime numbers are known as composite numbers. We are going to solve some based on the prime numbers. Let us study about prime example definition with some solved problems along with step by step answer and exercise problems.

Example Problems for Prime Example Definition:

Example problem 1: What is the prime factorization of 10?

Solution:

Given number is 10

Divide by prime factors until the quotient is 1.

10 ÷ 2 = 5

5 ÷ 5 = 1

The prime factorization of 10 is: 10 = 2 × 5

Answer: The prime factorization of 10 is: 10 = 2 × 5

Example problem 2: Is 37 a prime number or composite number?

Solution:

Given number is 37

Prime numbers are divisible by itself and one.

37 is divisible by 37 and 1 only.

Therefore, 37 is prime number.

Answer: 37 is prime number.Please express your views of this topic Roman Number by commenting on blog.

Practice Problems for Prime Example Definition:

Practice problem 1: Can you tell the prime factorization of 2?

Practice problem 2: Write the prime factorization of 54. Use exponents when appropriate and order the factors from least to greatest (for example, 22 × 3 × 5).

Practice problem 3: Which of the following numbers are not prime numbers? 12, 37, 88, 90, and 101

Practice problem 4: Is 727 a prime number or composite number?

Practice problem 5: Write the prime factorization of 6. Use exponents when appropriate and order the factors from least to greatest.

Solutions for prime example definition:

Solution 1: The prime factorization of 2 is: 2

Solution 2: The prime factorization of 54 is: 2 × 3 × 3 × 3

Solution 3: 12, 88, and 90 are composite numbers.

Solution 4: 727 is a prime number.

Solution 5: The prime factorization of 6 is: 2 × 3

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