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Welcome to our Math lesson on Prime Numbers, this is the third lesson of our suite of math lessons covering the topic of Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Prime Numbers
By definition, prime numbers are those numbers that are divisible only by 1 and by themselves. Numbers that are not prime are composite. For example, 2 is a prime number as it is divisible by 1 and 2, while 4 is not a prime number (it is composite), as it is not divisible by 1 and 4 only but with 2 as well.
The number 1 is neither a prime number (as it is only divisible by 1 [that corresponds to itself]) nor is ir composite as it is not divisible with other numbers. The number 1 is a kind of special number.
Example 2
Find all prime numbers in the set of the first 100 natural numbers.
Solution 2
1 is not a prime number as explained above.
2 is a prime number as it is divisible only by 1 and 2. However, all multiples of 2 are composite. Hence, prime numbers can be only odd.
3 is also a prime number but all multiples of 3 are composite.
4 is a prime number but all its multiples are not.
7 is a prime number and its multiples are not.
Hence, based on this method, we identify the following prime numbers:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
More Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF Lessons and Learning Resources
Arithmetic Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 1.5 | Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 1.5.1 | What are Multiples of a Number? What are Factors? | | |
| 1.5.2 | Finding the Factors of a Number Using the Tree Method | | |
| 1.5.3 | Prime Numbers | | |
| 1.5.4 | Prime Factorization | | |
| 1.5.5 | Finding the Common Multiples of Two Numbers | | |
| 1.5.6 | Finding the LCM of Two or More Numbers | | |
| 1.5.7 | Greatest Common Factor, GCF | | |
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