Properties of Numbers

What are Numbers in Maths?

Numbers are a much-needed progression of the tally marks or counting on fingers, as numbers are the fundamental units of mathematics, without which we can’t imagine mathematics as it exists today. We use numbers to represent different quantities or values, such as weight, length, and time....

History of Numbers

The early brain of humans was capable of grasping the concept of numbers, such that they could see how many cattle they owned or how much food would suffice for the community, but the present-day concept of numbers and counting is foreign to them. It was believed by scientists that the idea of numbers and counting originally originated in ancient societies such as Egypt, Mesopotamia, and India....

Classification of Numbers

Based on characteristics, numbers can be classified into different types, such as:...

Numbers in Words

Representation of numerical values in the form of words is referred to as Numbers in Word. In this representation each digit of a number is replaced by a word, for example, the number 231 is represented as “two hundred thirty-one”....

Operations on Numbers

Operations on Numbers are the most fundaments building block of mathematics and are used to manipulate numerical values. These operations are as follows:...

Types of Numbers

Apart from the above types, there are some types of numbers that are based on the properties of the numbers. Some of these numbers are,...

Prime Factorization

Expressing any composite number as the product of prime numbers is called prime factorization. The prime factorization of a number “x” can be found easily by dividing x by the smallest possible prime number and then repeating the process until the quotient is either a prime number or 1. For example, prime factorization of 12 = 2×2×3 or 22×3. Some more examples are 15 = 5×3, 33=3×11, 42=2×3×7, etc. The prime factor of 18 is discussed in the image below....

HCF

HCF (Highest Common Factor) is the largest possible number that can divide two or more numbers without leaving any remainder. HCF is also called Greatest Common Divisor. For example, 6 is the HCF of 12 and 18, 12 is the HCF of 12 and 24, 7 is the HCF of 14 and 21, etc. The image discussed below shows the HCF of 12 and 18....

LCM

LCM (Lowest Common Multiple) of any two or more numbers is the smallest possible number when divisible by all the given numbers, yields a remainder of 0. In other words, the LCM of any two or more numbers is the smallest common multiple of all numbers. For example, the LCM of 12 and 14 is 84, LCM(21, 24) = 168, LCM(42, 122) = 2562, etc. The image discussed below shows the LCM of 4 and 6....

Number System

The Number System is the set of guidelines that gives meaning to expressions written in that number system. For example, if we want to express that we have ten dogs, in the decimal number system we would write “10 dogs,” in the binary system “1010 dogs,” in the octal system “12 dogs,” and in the hexadecimal system “A dogs.” All these statements represent ten dogs but in different number systems....

Properties of Numbers

There are some properties that different types of numbers have with different defined operations such as addition or multiplication, and those properties are as follows,...

Solved Examples on What are Numbers

Example 1: Find the LCM of 12 and 18....

FAQs – What are Numbers in Math

What Are Numbers in Math?...