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Factoring Numbers and Expressions

Factoring Numbers and Expressions. 5.1. Factor. A number that will divide with out a remainder into another. Prime or Composite. Prime Number - A positive integer greater than 1 with exactly two factors, 1 and itself. .

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Factoring Numbers and Expressions

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  1. Factoring Numbers and Expressions 5.1

  2. Factor • A number that will divide with out a remainder into another

  3. Prime or Composite Prime Number- A positive integer greater than 1 with exactly two factors, 1 and itself. Composite- A positive integer greater than 1 with more than two factors. The number 1 and 0 are neither prime nor composite

  4. Determine if the number is prime or composite • 51 • 47 • 6

  5. Divisibility Rules of 2 and 4 • A number is divisible by 2 if the last digit if divisible by 2 • A number is divisible by 4 if the last two digits are divisible by 4

  6. Divisibility Rules of 3 and 9 • A number is divisible by 3 is the sum of the digits are divisible by 3 • A number is divisible by 9 if the sum of a the digits are divisible by 9

  7. Divisibility of 5 and 10 • If a number ends in a 5 or 0 its divisible by 5 • If a number ends in a 0 its divisible by 10

  8. Divisibility of 6 and 8 • If it ends in an even number and if the sum of the digits is divisible by 3. • If it the last two digits are divisible by 4 and the last digit is even.

  9. Examples: 1.) Is 160 divisible by 5 2.) is 56 divisible by 10 3.) is 53 divisible by 2 4.) is 472 divisible by 3 5.)Is 43, 542 divisible by 9

  10. List the positive factors of each number • 10 • 63 • 25w²y

  11. Prime Factorization • Keep dividing by prime numbers • Write your answer of the product of primes • Use exponents

  12. Examples Write the prime factorization Use exponents for repeated factors. A) B) 18 200 2 2 9 100 3 50 3 2 25 2 2 • 3 • 3 = 2 • 32 5 5 2 • 2 • 2 • 5 • 5 = 23 • 52

  13. Factor the variable expression completely

  14. Homework you will have time to do it tomorrow in class

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