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Patterning Factors

Patterning Factors. Learning Goals: Understand a prime number is one that has only two factors (1 and itself) Determine all the factors of a given number Factors are smaller/equally sized numbers that can be divided into a larger/equal number

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Patterning Factors

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  1. PatterningFactors Learning Goals: Understand a prime number is one that has only two factors (1 and itself) Determine all the factors of a given number Factors are smaller/equally sized numbers that can be divided into a larger/equal number Identify n as a variable that can be any number

  2. Heads up, go get’em • Prime numbers are whole numbers that can only be divided 2 different whole numbers (1 and itself) • List as many prime numbers between 1 and 50 as you can • You have 5 minutes • 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

  3. Factors? • 5 can only be divided evenly by 1 and itself (5) therefore it is a prime number • 1 and 5 are called factors of 5 • 1, 2, 3, and 6 can be divided into 6 • Is 6 a prime number? • No because it has more than two whole number factors, can be divided by more than just itself and 1 • 6 is a composite number because it has more than two whole number factors • What are the factors of 6? • 1, 2, 3, and 6 1, 2, 3, and 6

  4. How to find the factors? • How many ways can you make 15? • Focus on adding the same number or multiplying/dividing two • Ex. 5 + 5 + 5 = 15 or 5 x 3 = 15 • The factors of 15 are the numbers you used to add or multiply to 15 • 1, 3, 5, and 15 • 7.5 x 2 = 15, so does that mean 2 and 7.5 are factors? • No because 7.5 is not a whole number

  5. Follow the rainbow 9 3 9 1 3 The factors of 9 are 1, 3, and 9

  6. To make your rainbow you start with 1 on the far left and your number on the far right • The arc that these two numbers are the end of implies that they multiply together to make your number • If there is more than 1 arc then your number iscomposite

  7. What number is this a factor rainbow for? • Hint: look at the far right number • 12 • What number should replace the n? • 2 x n = 12 • n = ? n 6

  8. What does n = ? • When you use a letter to represent a number it is called a variable • It’s a variable because it varies or changes depending on the question • Ex. 3 x n = 9, n = 3 but 1 x n = 9, n = 9 • If there is a variable in a question it is normally your job to be the detective and find what it is • There is only one right criminal

  9. Practice Time! • Peter’s father put cookies in bags with the same number in each bag. Peter has 30 cookies altogether in his bags and his brother has 18 altogether. How many cookies could his dad have put in each bag? • Try to do these by yourself but can quietly work with your table partner • Check on class site for extra practice

  10. Exit Card • Is 1 a prime number? • Why/why not? • Make a factor rainbow for 28

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