PPT-Factor Strings and Prime Factorization

Everyday Math Lesson 19 Lesson Objectives I can tell the difference between powers of ten written as ten raised to an exponent I can show powers of 10 using whole number exponents Mental Math. Prime numbers and factors.. Prime numbers. Prime numbers divide by themselves and one.. So… 3=3*1…or… 13=13*1. But 16 divides 16*1 and 8*2 and 4*4. So you see that prime numbers are very specific.. How do you find them?. Warm-Up. At the beginning of the summer, Lauren had a balance $25 in her bank account. She saved a total of $145 from her summer job, which she deposited into her account. Today Lauren withdrew enough money from her account to cover her $20 athletic facilities fee and her $30 uniform fee. If Lauren made no other withdrawals or deposits, what is her account balance. Prime and Composite Numbers. Prime Number. A prime number is any whole number that has only two factors, itself and 1. . Example:. 5. It only has two factors, 5 and 1. 5 x 1= 5. What are other examples of prime numbers?. T(A) . 1. 2. 3. 4. 6. 7. 8. 9. 5. 5. 9. 6. 7. 8. 1. 2. 3. 4. 1. 5. 2. 3. 4. 9. 6. 7. 8. A . 9. 1. 2. 3. 4. 6. 7. 8. 5. G(A) . Symmetric-pattern multifrontal factorization. T(A) . 1. 2. 3. 4. 6. 7. 8. under Additional Constraints. Kaushik . Mitra. . University . of Maryland, College Park, MD . 20742. Sameer . Sheorey. y. Toyota Technological Institute, . Chicago. Rama . Chellappa. University of Maryland, College Park, MD 20742. Terra Alta/East Preston School. “Home of the Eagles”. Definition. . Product. – An answer to a multiplication problem.. . 7 x 8 = 56. Product. Definition. . Factor. – a number that is multiplied by another to give a product.. ICS 6D. Sandy . Irani. Evenly Divides. x . evenly divides . y if . y =. m·x. . for some integer m. Denoted: . x|y. y is an . integer multiple (or just “multiple”) . of x. x is a . factor. of y. Learning Goals. We will use our divisibility rules so that we can decompose numbers into prime factors.. We’ll know we understand when we can identify the prime factors that are used to form a number.. Daniel . FreemaN. , SLU. Old school codes. Full knowledge of the code is needed to both encrypt messages. and to decrypt messages.. The code can only be used between a small number of trusted people.. NS.4. What is a factor?. Factor- the numbers you multiply to get a product. Factor x Factor = Product. What are the factors of 12: . What is a common factor?. Common factor- a number that is a factor of two or more given numbers.. 48 . violinists, . 24. violists, and . 36 . cellists into ensembles. Each ensemble has the same number of each instrument. What is the greatest number of ensembles that can be formed? How many violinists, violists, and cellists will be in each ensemble?. Common Factor (GCF. ), . and Least Common Multiple (LCM). Definition of a Prime Number. A prime number is a whole number . greater than 1 . AND can only be divided evenly by . 1 and itself. . Examples are . Gaussian Integers and their Relationship to Ordinary Integers Iris Yang and Victoria Zhang Brookline High School and Phillips Academy Mentor Matthew Weiss May 19-20th, 2018 MIT Primes Conference GOAL: prove unique factorization for Gaussian integers (and make comparisons to ordinary integers) KeywordsFactorization G-ECM CADO-NFS NFS RSA ECMINTRODUCTIONPublic key cryptography based on complexity of hard problem in mathematics Security in some current cryptography methods like RSA public key