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.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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