Introduction on solving composite number:

Number:

  • A number is defined as a numerical thing, which is used for measuring and counting. we can call it as numeral and includes zero, negative numbers, rational numbers, irrational numbers, etc,.
  • The procedure of numerical operation consist of one or more numerical as input and generate its relevant numerical output. This process involves arithmetic operation such as addition, subtraction, multiplication, division, and exponentiation.  

 

Description about solving composite number:

 

Composite Number:

  • A Composite Number is a number, which can be divided with evenly. The composite number has additional than two factors with one and itself.
  • Otherwise, Composite number can be defined as numeral (integer) that is accurately divided with minimum one factor except one and itself. Composite number has infinite numbers also. However, composite numbers are not prime numbers.
  • For example: 6 can be divided equally by 1, 2, 3. Therefore 6 is a composite number

Prime Number:

  • A prime number is a number, which can be divided only with one and itself. The prime number has only two factors such that one and itself.
  • For example: only 1 and 5 can divide 5. Therefore 5 is prime number

Note:

  • The integer 0 and 1 not a prime number or not a composite number
  • At all whole number excess of number one is moreover prime or composite.
  • Every even numbers can be divided by two and every even numbers excess than two is composite numbers. In the same way for 5
  • Thus composite numbers can written as prime factors by product
    For example: 42 = 2*3*7

 

Examples for solving composite number:

 

1) Write down the composite number from first 20 numbers.

Sol: ( after solving the problem, we get)

Composite numbers in first 20 numbers = (2, 3, 5, 7, 11, 13, 17, 19)

2) Find out the type of number at first 10 numbers

Sol: ( by solving step by step we get)

1 – Not a prime or not a composite number

2 – Prime number (factors 1 and 2 only)

3– Prime number (factors 1 and 3 only)

4 – Composite number (factors 1, 2 and 4)

5 – Prime number (factors 1 and 5 only)

6 – Composite number (factors 1, 2, 3 and 6)

7 – Prime number (factors 1 and 7 only)

8 – Composite number (factors 1, 2, 4 and 8)

9 – Composite (factors 1, 3 and 9)

10 – Composite number (factors 1, 2, 5 and 10)

3) Point out whether given numbers are composite or not. (23, 34, 19, 100)

Sol:

23 – Prime number because 23 has factors 1 and itself as 23 only

34 is a composite number. Because it has more than two factors (1, 2, 17 and 34)

19 is a prime number. Because 19 has factors 1 and itself as 19 only

100 is a composite number. Because it has more than two factors (1, 2, 4, 5, 10, 20, 25, 50 and 100)