Prime numbers are special numbers! They are whole numbers greater than 1 that can only be divided evenly by 1 and themselves. Think of it like this: a prime number has only two factors, 1 and the number itself. Numbers that have more than two factors are called composite numbers. For example, 7 is prime because only 1 and 7 divide into it evenly, but 6 is composite because 1, 2, 3, and 6 all divide into it evenly. Let's practice identifying these special numbers!
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Prime Number | A. A whole number greater than 1 that has more than two factors. |
| 2. Composite Number | B. The numbers you multiply together to get another number. |
| 3. Factor | C. A diagram showing the prime factors of a number. |
| 4. Divisible | D. A whole number greater than 1 that has only two factors: 1 and itself. |
| 5. Prime Factorization | E. Capable of being divided evenly with no remainder. |
(Match the numbers to the letters. Answers: 1-D, 2-A, 3-B, 4-E, 5-C)
Complete the following paragraph using the words: factors, prime, composite, one, divisible.
A ______ number has only two ______: ______ and itself. A ______ number has more than two factors and is ______ by more numbers.
(Answers: prime, factors, one, composite, divisible)
Why is the number 1 neither prime nor composite? Explain your reasoning.
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