Number Theory Assignment Help

Number theory assignment help services online

Mathematics has various concepts and units that students should learn. Begin your academic journey at the school level you are introduced to the basics and as you learn and grow you are introduced to more complicated concepts. Number theory is something that you will learn more deeply in college and you can seek number theory assignment help from our services in order to complete assignments. there are various other reasons why students come to our services to get help like lack of time knowledge or complicated topics.

Our experts offering number theory assignment services can save a lot of your time by preparing their assignment for you and they delve into the details and prepare a more detailed solution so you have no worries about getting good scores in your assignment or the price of the service because our intention is to help students without burning a hole in their pockets.

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What is number theory?

It is a branch of pure mathematics that focuses on starting off natural numbers and integers. Is basically the study of the set of positive whole numbers generally called as the set of natural numbers. This particular theory is experimental and theoretical. On one hand, the experimental number theory leads the way to various questions and recommends multiple ways to provide solutions to the questions on the other hand the theoretical number theory attempts to offer a definite answer by solving them. Theoretically, numbers are divided into various types like natural numbers whole numbers complex numbers and so many others.

Classification of Number theories as mentioned by our number theory assignment helpers

Our number theory assignment help experts in the USA state that the numbers that we use daily can be classified into various categories. The sub-classifications of those numbers are mentioned below in our number theory assignment help experts

• Odd Numbers : Our number theory assignment help experts discuss that odd numbers are the ones that cannot be divided by the number 2. Their numbers like 1,3,5,7,9,11,13, 15, and many more are called odd numbers, and then there is the number 1 which is both a positive and odd number.
• Even Numbers : Further, our number theory assignment help services explain another subclassification of numbers which is called even numbers which are integers unlike odd numbers even numbers can be divided by the number 2. Consider the examples 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 28, 26, and so on are considered even numbers.
• Square Numbers : The next one is square numbers our number theory assignment help experts in the USA explain that these numbers can be multiplied by themselves and are called square numbers or perfect Square numbers. Examples 3x 3 = 9. 9 is the square number similarly consider 1,4,9,16 and so on and so forth are called spare numbers.
• Cube Numbers : Any number that can be multiplied by themselves three times is called a cube number and our number theory assignment helpers provide a few examples for better understanding like 27 is basically the cube of 3x3x3 = 27. Numbers like 1, 8, 64, and so on and so forth are examples of cube numbers.
• Prime Numbers : Our number theory assignment helps experts discuss that prime numbers are numbers that have only two factors like one and the number itself. For instance, three is considered a prime number as it has only two factors 1 and 3 similarly numbers like 2, 5,7,11 are also known as prime numbers.
• Composite Numbers : Now when you compare composite number and prime number you will find that composite number has two factors and these numbers have more than two factors. Composite numbers are divisible by more than two numbers. Gujarat examples 1,2, 3, and 6.

Number theory examples as per our Number theory assignment help services

The following examples developed by our Number theory assignment help experts can offer a better understanding of the subject.

• Example 1: Find the common factors of 12 and 18. :

Solution:

Factors of 12 = 1, 2, 3, 4, 6,12

                          Factors for 18 = 1, 2, 3, 6, 9,18

                          Therefore, the common factors are 1, 2, 3 and 6

• Example 2: Find the Greatest Common Divisor (GCD) of the numbers 40 and 70. :

Solution:

Divisors (factors) of the number 40 are 1, 2, 4, 5, 8, 10, 20, 40.

                          Divisors (factors) of the number 70 are 1, 2, 5, 7, 10, 14, 35, 70.

                          The Greatest Common Divisor in 40 and 70 is 10.

                          Therefore, the GCD of 40 and 70 is 10.

• Example 3: Identify the prime numbers in the list: 1, 2, 3, 7, 9, 11, 13, 14, 16 :

Solution: The prime numbers in the given list are - 2, 3, 7, 11 and 13

• Example 4: Find the Greatest Common Divisor(G.C.D ) of a number 30 and 52 :

Solution:

Divisors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

                          Divisors of 52 are 1, 2, 4, 13, 26, 52

                          The common divisors in 30 and 52 are 2

                          Therefore, the G. C.D of 30 and 52 is 2

                          gcd(30,52)= 2

• Example 5: Find the common factors of 10 and 16 :

Solution:

Factors of 10 are:
                          2 x 5 =10
                          1 x 10 = 10
                          Therefore, the factors are 1, 2, 5 and 10

                          Factors of 16 are
                          4 x 4 = 16
                          1 x 16 = 16
                          2 x 8 = 16
                          Therefore, the factors of 16 are as follows: 1, 2, 4, 8, 16
                          Then, the common factors are 1 and 2.

• Example 6: Show that the greatest factor of a number is the number itself. :

Solution:

Assume the number 24

                          The factors of 24 are

                          1 x 24 =24

                          12 x 2 = 24

                          8 x 3 = 24

                          6 x 4 = 24

                          The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24

                          From this, we can say that 24 is the greatest factor of the number 24.

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