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.
Answer key
  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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