# 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:**

- Find all factors of the number.
- If the number has only two factors, 1 and itself, then it is prime.
- 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**

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

##### Answer key

- 41,43,47
- Yes
- It is prime as the number has only two factors 1, 431.
- 1,97
- 2, is the only even prime number between 1 and 50

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