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Do Now • Find prime factorization of each number: a) 18 b) 75 c) 27 a) 2 x 3 x 3 b) 3 x 5 x 5 c) 3 x 3 x3 Prime and Composite Number Definition Examples Prime A whole number that has two factors: 1 and itself 11, 13, 23 Composite A number greater than 1 with more than two factors. 6, 10,8 Neither prime nor composite 1 has only one factor 0 has an infinite number of factors 0,1 36 Divisibility Rules It is divisible by: Only if: Examples 2 The ones digit is divisible by 2 24 3 If the sums of the digits is divisible by 3 39 5 If the ones digit is 0 or 5 15 9 If the sum of the digits is divisible by 9 54 10 If the ones digit is 0 20 4÷2=2 24 ÷ 2 = 12 3 + 9 = 12 12 ÷ 3 = 4 15÷ 5 = 3 5+4=9 54 ÷ 9 = 6 20 ÷ 10 = 2 Use the divisibility rules to help find the prime factorization of composite numbers. Powers and Exponents (pg. 32) 1. 2. 3. 4. 5. 6. exponent- how many times the base is used as a factor base- the number used as a factor power- a number expressed using exponents squared- to the second power cubed – to the third power Exponential form- numbers written with exponents exponent Pg 34-35 prime factorization using exponents base 4 2