# Online Pre-Algebra Tutoring: Prime/Composite Numbers

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### Deducing Composites and Factors @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.Â It only has one factor — just itself!Â 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 Â 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

**a)** Each of the following numbers is composite EXCEPT:

**40,41,42,43,44,45,46,47,48,49**

**b)** Is 2,7496 a composite number?

**c)** Is the number431 prime or composite? Explain your answer using full sentences.

**d)** If you know 97 is a prime number what are the factors for **97** ordered from least to greatest?

**e)** Write the even prime numbers between **1 and 50**.

### Answer key

**a)** 41,43,47

**b)** Yes

**c)** It is prime as the number has only two factors 1, 431.

**d)** 1,97

**e)** 2, is the only even prime number between 1 and 50.

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