There are, as I'm very sure that you recognize, tons of numbers, infinitely several because it happens. Because of this mathematician need a way to classify numbers or integers, a way to group then and tell them apart from each other. In this unit, we are attempting to examine the various teams of numbers that exist.

Now depending on the divisible property all the natural numbers can be broadly classified into four types. These are:

i) Even Numbers

ii) Odd Numbers

iii) Prime Numbers

iv) Composite Numbers

i) Even Numbers

ii) Odd Numbers

iii) Prime Numbers

iv) Composite Numbers

In the consequent sections, we will try to understand the property and the functionality of each of these numbers. Identifying even and odd numbers is a crucial ability that will help youngsters in their preparation to group whole number operations as well. It will also be of great use while they will start learning division, prime numbers, and even square root.

Any integer that can be divided exactly by 2 with no remainders is an even number. The last digit of the number will essentially be 0, 2, 4, 6 or 8. This means that the integer may be divided into pairs or 2 equal parts with no leftovers. The numbers like 2, 4, 6, 8, and 10 are considered as even numbers.

Please note that zero is considered an even number. So, any number ending with 0 will be an even number by default.

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**ODD NUMBERS**

An odd integer isn't divided equally by 2. An odd integer can't be divided into pairs or 2 equal numbers while having no leftovers. an odd number could be an integer that contains a remainder of one upon division by two. The last digit will essentially be 3,5,7 and 9. The numbers 1, 3, 5, 7, and 9 all are considered odd numbers. Odd numbers are in between the even numbers and vice versa.

Let’s try something:

Let’s try something:

A prime integer may be a number larger than 1 that has no positive number divisors aside from 1 and itself. For example, 5 is a prime number as it has no positive divisors other than 1 and 5.

The first few prime numbers include 3, 5, 7, 11, 13, 17,

prime numbers have applications in basically all areas of arithmetic. Prime numbers act as "building blocks" of numbers, and in and of itself, it's vital to know prime numbers in order to understand how numbers are associated with one another.

Contrary to the prime numbers, a number may be a positive whole number larger than 1 that has two or more positive divisors. For example, 6 may be a number as a result of its 4 positive divisors: 1, 2, 3 and 6. All positive integers larger than 1 should either be a prime integer or a composite one. 1 is that the solely positive whole number that's neither prime nor composite.

Results of the addition or subtraction of odd or even numbers follow a pattern.

Similarly, when subtraction is performed, the similar pattern is observed.

Even + Even | =Even | 6+8=14 |

Even + Odd | =Odd | 4 + 3 = 7 |

Odd + Even | =Odd | 9 + 10 = 19 |

Odd + Odd | =Even | 5 + 7 = 12 |

Similarly, when subtraction is performed, the similar pattern is observed.

Multiplication of two odd/even numbers will always give an even number as output.

**Division**

Even × Even | =Even | 6 × 8 = 48 |

Even × Odd | =Even | 2 × 5 = 10 |

Odd × Even | =Even | 5 × 8 = 40 |

Odd × Odd | =Odd | 9 ×7 = 63 |

As you'll be able to see, there are a couple of rules that can tell what the result after you will add, subtract, or multiply even and odd numbers. In any of those operations, you may continually get a selected quite integer.

But after you divide numbers, one thing tough will happen—you may well be left with a fraction. Fractions are neither even numbers nor odd numbers, thus they are not whole numbers as well. They are solely components of numbers and might be written in numerous ways that.

For example, you cannot say that the fraction 1/5 is odd as a result of the divisor is an odd number. You could even as well write that very same fraction as 2/10, during which the divisor is an even one.

The terms “even number” and “odd number” are solely used for whole numbers and their opposites.

The terms “even number” and “odd number” are solely used for whole numbers and their opposites.

To tell whether or not a number is even or odd, scrutinize the digit within the one’s/unit’s place. That single variety can tell you whether the whole number is odd or even. Consider the number 98765. It ends in 5, an odd number. Therefore, it is an odd number. Likewise, 424 is an even number as the digit in the unit’s place is an even one.

The simplest way to establish whether a number is a prime number or not is to use the method of elimination. List out numbers, eliminate those having a primary divisor that's not the number itself, and the remaining numbers will be prime.

Another way to spot prime numbers is as follows

Another way to spot prime numbers is as follows

First, choose a number, for example, 113. Now, note that prime numbers between 1 and 10 are 2, 3, 5, 7. Now, divide the chosen number 113 by each of these four numbers. If it's divisible by any of the four numbers, then it isn't a prime number; if it's not divisible by any of the four numbers, then it is prime.113 is not divisible by any of them, so it is a prime number.

The best way to puzzle out if it’s a prime number is to perform the quality check. To do this, you must check to check if the given number is divided by these common factors: a pair of, 3, 5, 7, 11, and 13. If the integer is even, then begin with the divisibility by 2. If the number ends with a 0 or 5, attempt dividing by 5. If the number can’t be divided by any of those six numbers, then the number is most likely a prime number.

Test your skills with the divisibility test with the following examples:

243: Since the number ends with a 3, we all know that it won’t fall under even numbers. Therefore, it’s not divisible by 2. Also, it doesn’t finish with a 0 or 5, therefore it isn’t a multiple of 5 either. So, we will move onto the consequent lowest number: 3.

243/3 = 81

243/3 = 81

Since the given number has more than two factors, we know that it’s a composite number. The factors of 243 include 1, 3, 81, 27, 81, 243 (1 x 243, 3 x 81, 9 x 27).

283

283

As we have a tendency to perform the quality check with 283, we find that

283/2 = 141.5

283/3 = 94.33

283/5 = 56.6

283/7 = 40.43

283/11 = 25.72

283/13 = 21.76

283/3 = 94.33

283/5 = 56.6

283/7 = 40.43

283/11 = 25.72

283/13 = 21.76

Since none of the quotients measures whole numbers, we will with confidence say that 283 could be a prime.

Some fun activities Find out if 678 is an odd or even number.Find and explain if 1500 is an odd or even number. If we multiply the digits 6 and 5 the result is even because the result ends in 0. Similarly, if we multiply two odd nos. like 3 and 5, the result is odd as the result ends with 5. Now find out how many 2-digit numbers have an odd product?Complete the following sequence till 31: 2,5,7,11…Find out the sum of the two largest two-digit prime numbers?Is the number 9 prime or composite? Write down the prime numbers between 60 and 69.State true or false: Every number is a multiple of 1 Write a composite number that is less than 10 and is also an odd number Which is the even yet prime number 2, 4, 6, 8,.... are examples of the _________ of 2 Pick up the true statement about the number 231. More than one answer can be true. (a) It is an odd number. (b) It is an even number. (c) None of the above(d)It is a prime number(e)It is a composite number (f)Neither composite nor prime |