prime and composite
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The document discusses prime numbers and composite numbers. It defines prime numbers as numbers with exactly two factors, and provides examples of prime numbers 2, 3, 5, and 7. Composite numbers are defined as numbers with more than two factors, and examples given are 6, 9, and 4. The document ends with an activity asking the reader to identify numbers as prime (P) or composite (C).
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The document defines key terms related to factors and prime numbers. It explains that a product is the result of a multiplication problem, factors are numbers that can be multiplied to give a product, and a factor is a number that divides evenly into another number. A prime number is a number with exactly two factors - itself and 1. The document then provides examples of prime numbers and explains that prime factorization is writing a number as a product of prime factors using a factor tree method. It demonstrates prime factorizing several example numbers.
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The document explains how to construct a prime factor tree. A prime factor tree breaks down a composite number into its prime factors. It provides examples breaking down the number 36 into prime factors of 2, 2, and 3 written as exponents. The goal is to keep reducing factors down to their lowest prime factors, then rearrange from least to greatest and write as exponents. The prime factor tree for 36 will always be 2^2 x 3 regardless of the initial factors chosen to break it down.
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prime and composite
- 2. 9 X 6 =
- 3. 54
- 4. 8 X 3 =
- 5. Z 24
- 6. 63 ÷ 9 =
- 7. 7
- 8. 64 ÷ 8 =
- 9. 8
- 11. What is a Prime Number? Prime Number is a number that have only 2 factors.
- 12. Example: Prime Number Factors 2 1 x 2 1 and 2 3 1 x 3 1 and 3 5 1 x 5 1 and 5 7 1 x 7 1 and 7
- 13. What is a Composite Number? Composite Number is a number that have more than 2 factors.
- 14. Example: Composite Number Factors 6 1 x 6, 2 x 3 1, 2, 3 and 6 9 1 x 9, 3 x 3 1, 3 and 9 4 1 x 4, 2 x 2 1, 2 and 4
- 15. Write P if the number is a prime number and C if the number is a composite number. _____1. 19 _____2. 22 _____3. 31 _____4. 14 _____5. 8