The number one million consists of six zeros. This figure doesn't contain decimal points. One million is also referred to as one thousand thousand, and a comma is used to separate the digits. It's written as 1,000,000. According to the University of California, Los Angeles, anthropological studies of primitive tribes have yet to prove or reveal a society that lacked the understanding of numbers.
Humankind’s need for a better understanding of the numerical properties of objects might have arisen from their daily occupations. This lead to using their fingers to represent numbers. To this day, this matching principle for indicating a finger for each item is referred to as one-to-one correspondence. In this guide, you'll learn different number systems and how you can represent a given set logically using digits or other symbols.
Factors of a number are numbers that can evenly divide into another number. Thus, factorization involves writing numbers as the product of their factors. This can be achieved using the prime factorization method (prime numbers are only divisible by one and itself). The method involves dividing the number by its prime divisors until the number one remains. For example, if you use this method, the factors of one million are:
1,000,000 = 2×2×2×2×2×2×5×5×5×5×5×5
= 26 × 56
Roman numerals date back to as far as 800 B.C. Rather than using the one-to-one correspondence, Roman numerals were invented for counting larger quantities. This numeral representation method features the arrangement of seven letters into a multitude of combinations to form small and large numbers. The letters can be written in upper-case or lower-case. For example, the letter M is the Roman numeral for one thousand. The letter for million would be M with a bar over it (the bar represents times 1000).
Decimal Number System (Base-10 Number System)
This system features a base-10 representation since the numbers are represented using 10 digits from zero to nine. The positions in the decimal number system are represented in units, tens, hundreds, thousands, and so on, starting from the left side of the decimal point. These are the place-value positions of the numbers. For instance, the number 1,000,000 consists of six zeros in the unit, tens, hundreds, thousands, ten thousands, and a hundred thousands position. The digit one is in the millions position. The number one million can thus be written as:
(1×1,000,000) + (0×100,000) + (0×10,000) + (0×1,000) + (0×100) + (0×10) + (0×1)m
(1×106) + (0×105) + (0×104) + (0×103) + (0×102) +(0×101) +(0×100)
= 1,000,00010 or 1,000,000
Binary Number System (Base-Two Number System)b
The binary number system involves writing a number in the form of two digits: one and zero. It's possible to convert any number into binary and vice versa. For instance, the binary representation of one million is 111101000010010000002. The use of base-2 signifies a radix of two.
Octal Number System (Base-Eight Number System)
In the base-eight number system, digits from zero to seven are used to represent numbers. This system is often used in computer applications, and uses the same conversion principle as the decimal system, but uses base-eight. For example, one million is 36411008 in octal representation.
Hexadecimal Number System (Base-16 Number System)
The hexadecimal number system uses base-16 to represent numbers. This means the numbers are first in base-10 representation then represented in letters from A to F. Thus, F424016 is the hexadecimal representation of one million.