WHAT IS A COMPOSITE NUMBER AND WHY?
A composite number is a positive integer which has a positive divisor other than one or itself.
Some composite numbers are:
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 136, 138, 140
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A composite number is a positive integer greater than 1 that has more than two factors. In other words, it is a number that can be divided evenly by at least one other positive integer apart from 1 and itself.
To understand why a number is considered composite, we need to understand the concept of factors. Factors are the numbers that can divide evenly into a given number. For example, the factors of 10 are 1, 2, 5, and 10 because they can divide 10 without leaving a remainder.
A composite number has more than two factors because it can be divided evenly by numbers other than 1 and itself. For instance, let's take the number 12. Its factors are 1, 2, 3, 4, 6, and 12. Since 12 has factors other than 1 and 12, it is considered a composite number.
On the other hand, a prime number is a number that has exactly two factors, 1 and itself. Prime numbers cannot be divided evenly by any other numbers. For example, the number 7 is a prime number because its only factors are 1 and 7.
So, a composite number is called as such because it can be composed or formed by multiplying two or more smaller positive integers. In contrast, prime numbers cannot be factored into smaller integers other than 1 and itself.