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**5 Minute Check Complete in your notebook.**

Tell whether each number is divisible by 2,3,4,5,6,9,10. 1. 80 2. 81 3. 93 4. 324 5. 24,681

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**5 Minute Check Complete in your notebook.**

Tell whether each number is divisible by 2,3,4,5,6,9,10. 1. 80 – 2, 4, 5, 10 2. 81 3. 93 4. 324 5. 24,681

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**5 Minute Check Complete in your notebook.**

Tell whether each number is divisible by 2,3,4,5,6,9,10. 1. 80 – 2, 4, 5, 10 2. 81 – 3, 9 3. 93 4. 324 5. 24,681

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**5 Minute Check Complete in your notebook.**

Tell whether each number is divisible by 2,3,4,5,6,9,10. 1. 80 – 2, 4, 5, 10 2. 81 – 3, 9 3. 93 – 3 4. 324 5. 24,681

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**5 Minute Check Complete in your notebook.**

Tell whether each number is divisible by 2,3,4,5,6,9,10. 1. 80 – 2, 4, 5, 10 2. 81 – 3, 9 3. 93 – 3 – 2, 3, 4, 6, 9 5. 24,681

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**5 Minute Check Complete in your notebook.**

Tell whether each number is divisible by 2,3,4,5,6,9,10. 1. 80 – 2, 4, 5, 10 2. 81 – 3, 9 3. 93 – 3 – 2, 3, 4, 6, 9 5. 24,

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Wednesday, August 28 Prime Factors

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**Prime Factors When two or more numbers are multiplied,**

each number is called a factor of the product. example - 1 X 7 = 7 The factors of 7 are 1 and 7 1 X 6 = 6 and 2 X 3 = 6 The factors of 6 are 1,2,3,6

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Prime Factors If a number has only two factors (1 and itself) it is a prime number. example - 1 X 7 = 7 The factors of 7 are 1 and 7 This is a prime number 1 X 6 = 6 and 2 X 3 = 6 The factors of 6 are 1,2,3,6 This is not a prime number

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Prime Factors If a number (greater than 1) has more than 2 factors it is a composite number. example - 1 X 7 = 7 The factors of 7 are 1 and 7 This is not a composite number 1 X 6 = 6 and 2 X 3 = 6 The factors of 6 are 1,2,3,6 This is a composite number

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Prime Factors We can make factor list (factor rainbow) to determine if a number is prime or composite. A multiples list will list all factors of a number, not just prime factors.

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Prime Factors Is 27 a prime or composite number? (Hint- think about the divisibility rules.)

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Prime Factors Is 27 a prime or composite number? Factor List 27: 1, 3, 9, is a composite number.

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Prime Factors Is 82 a prime or composite number?

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Prime Factors Is 82 a prime or composite number? Factor List 82: 1, 2, 41, is a composite number.

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Prime Factors Rule – only one even number is a prime number. All others are composite. What is the only even number that is prime?

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Prime Factors Rule – only one even number is a prime number. All others are composite. What is the only even number that is prime? 2, the only factors are 1 and 2.

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Prime Factors Is 47 a prime or composite number?

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Prime Factors Is 47 a prime or composite number? Factor List 47: 1, is a prime number.

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Prime Factors Every composite number can be expressed as a product of factors that are prime numbers. This is called prime factorization of the number. A factor tree can be used to find the prime factorization of a composite number.

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Prime Factors In a factor tree we “factor out” (divide by) prime numbers. We start with the smallest prime number and keep dividing until it is not divisible.

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Prime Factors Find the prime factorization of 45. What is the smallest prime number?

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Prime Factors Find the prime factorization of 45. Is 45 divisible by 2?

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Prime Factors Find the prime factorization of 45. Is 45 divisible by 2? No. What is the next smallest prime number?

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Prime Factors Find the prime factorization of 45. Is 45 divisible by 2? No. Is 45 divisible by 3?

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Prime Factors Yes, 45 ÷ 3 = / \ 3 X 15 We keep dividing by 3 until it is not divisible. Is 15 divisible by 3?

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Prime Factors Yes, 15 ÷ 3 = 5 45 / \ 3 X 15 I / \ 3 X 3 X 5 Since we have all prime numbers, we are done. The prime factorization of 45 is 3 X 3 X 5, or 3² X 5.

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Prime Factors Factor Tree Rule – Prime numbers have one “root” and composite numbers have two “roots”. 45 roots / \ roots 3 X 15 I / \ 3 X 3 X 5

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Prime Factors Find the prime factorization of 54. Is 54 divisible by 2?

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Prime Factors Yes, 54 ÷ 2 = / \ 2 X 27 We keep dividing by 2 until it is not divisible. Is 27 divisible by 2?

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Prime Factors No, we are done dividing by / \ 2 X 27 What is the next greatest prime number?

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Prime Factors Is 27 divisible by 3? 54 / \ 2 X 27

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Prime Factors Yes, 27 ÷ 3 = 9 54 / \ 2 X 27 I / \ 2 X 3 X 9 Is 9 divisible by 3?

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Prime Factors Yes, 9 ÷ 3 = 3 54 / \ 2 X 27 I / \ 2 X 3 X 9 I I / \ 2 X 3 X 3 X 3 Once we have all prime numbers, we are done. The prime factorization of 54 is 2 X 3 X 3 X 3, or 2 X 3³.

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Prime Factors Find the prime factorization of 20. Do this on your own.

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Prime Factors Find the prime factorization of / \ 2 X 10 I / \ 2 X 2 X 5 The prime factorization of 20 is 2 X 2 X 5, or 2² X 5

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Prime Factors Find the prime factorization of 30. Do this on your own.

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Prime Factors Find the prime factorization of / \ 2 X 15 I / \ 2 X 3 X 5 The prime factorization of 30 is 2 X 3 X 5

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Prime Factors Find the prime factorization of 43. Do this on your own.

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Prime Factors Find the prime factorization of is a prime number.

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Prime Factors Find the prime factorization of 104. Do this on your own.

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Prime Factors Find the prime factorization of 104. 104 / \ 2 X 52 I / \ 2 X 2 X 26 I I / \ 2 X 2 X 2 X 13 The prime factorization of 104 is 2 X 2 X 2 X 13, or 2³ X 13

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Prime Factors Agenda Notes- Math Homework Practice Skills 1-3 Due Quiz on Friday, Aug 30

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Prime Factors

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