composite number

positive integer that has at least one positive divisor other than 1 or itself

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A composite number is a positive integer that can be divided evenly by at least one number other than 1 and itself (for example, 12 can be divided by 2, 3, 4, and 6). Understanding composite numbers matters because they're fundamental to how mathematicians study the building blocks of all whole numbers, which connects to practical applications in areas like cryptography and computer science.

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Image: Composite number Cuisenaire rods 10.png

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Composite numbers can be arranged into rectangles but prime numbers cannot. Demonstration, with Cuisenaire rods, of the divisors of the composite number 10

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly, it is a positive integer that has at least one divisor other than 1 and itself. Every positive integer is composite, prime, or the unit 1, so the composite numbers are exactly the natural numbers that are not prime and not a unit. For example, the integer 14 is a composite number because it is the product of the two smaller integers 2 and 7; however, the integers 2 and 3 are not because each can only be divided by one and itself.