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Online Pre-Algebra Tutoring: Prime/Composite Numbers

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Deducing Composites and Factors at eTutorWorld

Factors are numbers that you multiply to get another number

• A prime number has exactly two factors: 1 and itself.
• A composite number has more than two factors.
• Co prime numbers have only 1 as a common factor.

The number 1 is special.  It only has one factor — just itself!  So, 1 is neither prime nor composite.

To determine if a number is prime or composite, follow these steps:

1. Find all factors of the number.
2. If the number has only two factors, 1 and itself, then it is prime.
3. If the number has more than two factors, then it is composite.

Learn  about prime & composite numbers from Certified Online Pre-Algebra Tutor

Is 29 a prime number or a composite number?

The only factors of 29 are 1 and 29.
29 is a prime number.

Check Point

1. Each of the following numbers is composite EXCEPT: 40, 41, 42, 43, 44, 45, 46, 47, 48, 49
2. Is 2,7496 a composite number?
3. Is the number 431 prime or composite? Explain your answer using full sentences.
4. If you know 97 is a prime number what are the factors for 97 ordered from least to greatest?
5. Write the even prime numbers between 1 and 50.
1. 41,43,47
2. Yes
3. It is prime as the number has only two factors 1, 431.
4. 1,97
5. 2, is the only even prime number between 1 and 50

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