MHB What are the differences between odd, composite, and prime numbers?

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Odd numbers are integers not divisible by 2, with 3 serving as an example. Composite numbers have factors other than 1 and themselves, illustrated by 12, which has multiple divisors. Prime numbers are natural numbers greater than 1 that have no divisors other than 1 and themselves, with 17 as a prime example. The discussion emphasizes the distinct definitions and characteristics of these number types. Understanding these differences is essential for mathematical comprehension.
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What is the basic difference between an odd, composite and prime number? Give an example for each.
 
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RTCNTC said:
What is the basic difference between an odd, composite and prime number? Give an example for each.

An odd number is an integer not divisible by 2. 3 is an odd number because 3/2 is not an integer.

A composite number is a whole number that has factors other than 1 and itself. 12 is a composite number because it has the factors 1, 2, 3, 4, 6, 12.

A prime number is a natural number greater than 1 that has no factors other than 1 and itself. 17 is a prime number by definition.
 
MarkFL said:
An odd number is an integer not divisible by 2. 3 is an odd number because 3/2 is not an integer.

A composite number is a whole number that has factors other than 1 and itself. 12 is a composite number because it has the factors 1, 2, 3, 4, 6, 12.

A prime number is a natural number greater than 1 that has no factors other than 1 and itself. 17 is a prime number by definition.

Good information for review.
 

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