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1 PRIME FACTORIZATION
2 Every composite number can be expressed as a product of prime numbers. This is called the prime factorization of a number.
3 PRIME FACTORIZATION To find the prime factorization of a number, you can use a factor tree.
4 FACTOR TREES 36 6 x 6 ^ ^ 2 x 3 ^ 36 = 2 x 2 x 3 x 3 or 2 ² x 3²3²
5 FACTOR TREES 36 3 x 12 ^ ^ 3 x 4 36 = 2 x 2 x 3 x 3 2 x 2 ^ or 2 ² x 3²3²
6 FACTOR TREES 9 3 x 3 ^ 9 = 3 x 3 or 3²3²
7 FACTOR TREES 21 3 x 7 ^ 21 = 3 x 7
8 FACTOR TREES x 10 ^ ^ 2 x 5 ^ 100 = 2 x 2 x 5 x 5 or 2 ² x 5²5²
9 PRIME FACTORIZATION To find the prime factorization of a number, you can use a factor ladder.
10 FACTOR LADDERS = 2 x 2 x 3 x 3 or 2 ² x 3²3² Begin with the least prime number that is a factor. Repeat until the quotient is prime. 9
11 FACTOR LADDERS = 2 x 2 x 3 x 5 or 2 ² x 3 x 5 Begin with the least prime number that is a factor. Repeat until the quotient is prime. 15
12 FACTOR LADDERS = 3 x 3 x 5 or 3 ² x 5 Begin with the least prime number that is a factor. Repeat until the quotient is prime.
13 FACTOR LADDERS = 5 x 5 x 5 or 5³ Begin with the least prime number that is a factor. Repeat until the quotient is prime.
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Prime Factorization. A prime number is a whole number greater than 1 that has exactly two factors, 1 and itself. Three is a prime number because its only.
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Warm-up List the factors for the following numbers: , 2, 3, 5, 6, 10, 15, 30 1, 2, 3, 6,11, 22, 33, 66 1, 71.
Factors, Primes & Composite Numbers Chapter 4.1. Definition Product – An answer to a multiplication problem. 7 x 8 = 56 Product.
Vocabulary Multiples A number times 1, 2, 3, 4 etc. ex: 6, 12, 18, 24,...are multiples of 6 Common multiples Multiples that two or more numbers share.
Prime numbers- Numbers that only have two factors (1 and itself) Ex: 3= 1x3 5=1x5 13=1x13 Composite numbers –Numbers that have more than 2 factors.
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Slide Copyright © 2009 Pearson Education, Inc. 5.1 Number Theory.
Do Now 11/30/09 Copy HW in your planner. Copy HW in your planner. –Text page 175, #16-44 multiples of 4; #48-54 evens Be ready to copy POTW #3 Be ready.
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