Definition for prime numbers:

Prime number has the two solutions. The prime numbers are divisible by only two natural numbers. The prime numbers are divided by 1 and itself. The prime numbers are positive values. The prime numbers have different properties. The prime numbers are factored by only one and itself, No other numbers are not used to divide the prime numbers. All the composite numbers are expressed as product of prime numbers. It is called as prime factorization.

Define integer:

The integers are formed by the natural numbers including 0 (0, 1, 2, 3…) together with the negatives of the non-zero natural numbers (?1, ?2, ?3, ...). Viewed as subset of the real numbers, they are numbers that can be written without a fractional or decimal component, and fall within the set {... ?2, ?1, 0, 1, 2, ...}. For example, 65, 7, and ?756 are integers; 1.6 and 1½ are not integers. The set of all integers is often denoted by a boldface Z.

The integers form the smallest group containing the additive monoid of the natural numbers. Like the natural numbers, the integers form a countably infinite set.

Definition for Prime factors

The prime factors are the positive integers. The prime numbers are exactly divided by positive integers. Here, for these prime factors, the remainder will be always zero. Prime factors are always prime numbers. The prime factors are examples of arithmetic function. Pime factors are composite number. It can be divided by all composite number.
Types of Factors:

For the online study on factors, knowing the types of factors is an essential one. The types of factors for online study are as follows:

There are two types of factors,

Prime Factors
Composite factors

Example 1:

Find the prime factors for 24

Solution:

Step 1 : Divide the given number by, we get

24 / 2 = 12.

Step 2: Remaining number is 12. It can be divided by 2, we get

12 / 2 = 6

Step 3: Divide the remaining number 6 by 2, we get

6 / 2 = 3

Step 4: The final answer is 24 = 2 * 2 * 2 * 3

Step 5: The prime factors for 24 is 2 * 2 * 2 * 3

Step 6: The prime factors are 23 and 3

Step 7: The prime numbers are 2 and 3.

Example 2:

Find the prime factors and prime numbers for 32.

Solution:

Step 1: Divide the given number by 2, we get

32 / 2 = 16.

Step 2: Remaining number is 16. Divide 16 by 2, we get

16 / 2 = 8

Step 3: Divide the remaining number 8 by 2, we get

8 / 2 = 4

Step 4: The final answer is 32 = 2 * 2 * 2 * 4

Step 5: The prime factors for 32 is 2 * 2 * 2 * 22

Step 6: The prime factors are 23 and 22

Step 7: 2 is the prime numbe.

Practice problems for prime numbers

Example 1:

Find out the following are the integer prime numbers ( 4, 6, 2, 16, 40)

Solution:

Step 1: The given numbers are (4, 6, 2, 16, 40)

Step 2: the value 2 is the integer and prime number.

Example 2:

Find out the following are the prime numbers (2, 9, 13, 16, 20)

Solution:

Step 1: The given numbers are (2, 9, 13, 16, 20)

Step 2: the values 2, 13 is the integer and prime number.

1) Find out the prime number.

A) 2 B) 12 C) 24 D) 8

Answer: A

2) Find out the prime number.

A) 42 B) 20 C) 18 D) 13

Answer: D

3) Find out the prime number.

A) 32 B) 36 C) 17 D) 40

Answer: C

4) Find out the prime number.

A) 21 B) 30 C) 15 D) 19

Answer: D