By Subject By Standard Proficiency Assessments

Exponents, Factors & Multiples

Mathematics, Grade 7

❮

❯

Prime Factorization of 120 Prime Factorization Least Common Factor Greatest Common Factor Exponents Powers of Ten & Scientific Notation • An exponent tells how many times to multiply a number, called the base, by itself. • A number written with a base and an exponent is in exponential form. • Prime factorization is taking a number and breaking it down into its prime factors. • A prime number has exactly two factors – 1 and itself. • A composite number has more than two factors. • The greatest common factor (GCF) of two or more numbers is the largest number that divides evenly into each of the numbers. • The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers. • Move the decimal point 6 places to get a number that is greater than or equal to 1 and less than 10. • The exponent is equal to the number of decimal places you moved the point. The Prime Factorization of 120 is Formula Formula 4 = 4 x 4 x 4 = 64 3 10 = 10 x 10 x 10 x 10 = 10,000 = 2.38 x 10 2,380,000 4 6 base exponent Power of ten scientific notation standard form Greatest Common Factor of 36 & 54 Least Common Multiple of 5 & 6 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 54: 1, 2, 3, 6, 9, 18, 27, 54 The GCF is 18 5: 5, 10, 15, 20, 25, 30, 35,... 6: 6, 12, 18, 24, 30, 36, 42,... The LCM is 30 5 • 2 • 3 • 2 • 2 = 5 • 3 • 2 3 5 • 2 • 3 • 2 • 2 5 • 2 • 3 • 4 10 • 12 120 © Copyright NewPath Learning. All Rights Reserved. 93-4703 www.newpathlearning.com Exponents, Factors & Multiples

Prime Factorization of 120 Prime Factorization Least Common Factor Greatest Common Factor Exponents Powers of Ten & Scientific Notation • An exponent tells how many times to multiply a number, called the base, by itself. • A number written with a base and an exponent is in exponential form. • Prime factorization is _________________ _______________________________________ _______________________________________ • A prime number has exactly two factors – and itself. • A composite numb er has more than two factors. • The greatest common factor (GCF) of two or more numbers is ______________ ______________________________________ ______________________________________ • The least common multiple (LCM) of two or more numbers is ____________ ____________________________________ ____________________________________ • Move the decimal point 6 places to get a number that is greater than or equal to 1 and less than 10. • The is equal to the number of decimal places you moved the point. The Prime Factorization of 120 is 4 = 4 x 4 x 4 = 64 3 10 = 10 x 10 x 10 x 10 = 10,000 = 2.38 x 2,380,000 4 Power of ten scientific notation standard form Greatest Common Factor of 36 & 54 Least Common Multiple of 5 & 6 36: , , , , , , , , 54: , , , , , , , The GCF is 18 5: 5 , 5 , 5 , 5 , 5 , 5 ,... 6: 5 , 5 , 5 , 5 , 5 , 5 ,... The LCM is 30 5 • 2 • 3 • 2 • 2 = 5 • 3 • 2 5 • 2 • 3 • 2 • 2 5 • 2 • 3 • 4 10 • 12 120 Key Vocabulary Terms • base • composite number • exponent • exponential form • factor • greatest common factor • least common factor • multiple • power of ten • prime factorization • prime number • scientific notation • standard form © Copyright NewPath Learning. All Rights Reserved. 93-4703 www.newpathlearning.com Exponents, Factors & Multiples \|xiBAHBDy01667qzZ

Exponents, Factors & Multiples

Mathematics, Grade 7

Need Help?

NewPath Learning

Solutions

Shop By Product

Shop By Grade

Shop By Subject