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.

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Presentation transcript:

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 NumberDefinitionExamples PrimeA whole number that has two factors: 1 and itself 11, 13, 23 CompositeA 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 2The ones digit is divisible by ÷ 2 = 2 24 ÷ 2 = 12 3If the sums of the digits is divisible by = ÷ 3 = 4 5If the ones digit is 0 or ÷ 5 = 3 9If the sum of the digits is divisible by = 9 54 ÷ 9 = 6 10If the ones digit is ÷ 10 = 2 Use the divisibility rules to help find the prime factorization of composite numbers.

Powers and Exponents (pg. 32) 4 2 exponent base 1.exponent- how many times the base is used as a factor 2.base- the number used as a factor 3.power- a number expressed using exponents 4.squared- to the second power 5.cubed – to the third power 6.Exponential form- numbers written with exponents Pg prime factorization using exponents