Transcript Warm Up
1 1/02/09 Prime Factorization #38 LT: I will learn to draw factor trees. Warm Up Copy this number chart and follow steps 1-4. 1. Circle the number 2. Then cross out all multiples of 2. 2. Circle the number 3. Then cross out all multiples of 3. 3. Circle the number 5. Then cross out all multiples of 5. 4. Circle any number remaining if its only factors are itself and 1, cross out the others. Today’s Plan: -Warm-up -Prime Factorization -Exponents Learning Target: -I will learn to draw factor trees. 1 1/02/09 Prime Factorization #38 LT: I will learn to draw factor trees. You should have circled the PRIME NUMBERS! 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 factors are 1 and 3. Today’s Plan: -Warm-up -Prime Factorization -Exponents Learning Target: -I will learn to draw factor trees. 1 1/02/09 Prime Factorization #38 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 factors are 1 and 3. Today’s Plan: -Warm-up -Prime Factorization -Factor Trees Learning Target: -I will learn to draw factor trees. 1 1/02/09 Prime Factorization #38 A prime number is a whole number greater than 1 that has exactly two factors, 1 and itself. A composite number is a whole number that has more than two factors. The number 1 has exactly one factor and is neither prime nor composite. A composite number can be written as the product of its prime factors. This is called the prime factorization of the number. Today’s Plan: -Warm-up -Prime Factorization -Factor Trees Learning Target: -I will learn to draw factor trees. 1 1/02/09 Prime Factorization #38 Write the prime factorization of the number. A. 24 24 8 · 3 4 · 2 · 3 Write 24 as the product of two factors. Continue factoring until all factors are prime. 2 · 2 · 2 · 3 The prime factorization of 24 is 2 · 2 · 2 · 3. Using exponents, you can write this as 23 · 3. Today’s Plan: -Warm-up -Prime Factorization -Factor Trees Learning Target: -I will learn to draw factor trees. Exponent Base 2 7 Write in exponential form. A. 3 • 3 • 3 • 3 34 B. d • d • d • d • d d5 Reading Math Read 34 as “3 to the 4th power.” Write in exponential form. D. 5 • 5 52 Write in exponential form. D. 7 • 7 72 Evaluate. A. 35 3•3•3•3•3 243 B. (–3)5 (–3) • (–3) • (–3) • (–3) • (–3) –243 Helpful Hint Always use parentheses to raise a negative number to a power. 1 1/02/09 Prime Factorization #38 Divisibility Rules Today’s Plan: -Warm-up -Prime Factorization -Factor Trees Learning Target: -I will learn to draw factor trees. 1 1/02/09 Prime Factorization #38 Write the prime factorization of the number. B. 150 150 30 · 5 10 · 3 · 5 2 · 5 · 3 · 5 Write 150 as the product of two factors. Continue factoring until all factors are prime. The prime factorization of 150 is 2 · 3 · 5 · 5, or 2 · 3 · 52. Today’s Plan: -Warm-up -Prime Factorization -Factor Trees Learning Target: -I will learn to draw factor trees. 1 1/02/09 Prime Factorization Insert Lesson Title Here #38 Write the prime factorization of the number. A. 36 36 18 · 2 9 · 2 · 2 Write 36 as the product of two factors. Continue factoring until all factors are prime. 3 · 3 · 2 · 2 The prime factorization of 36 is 2 · 2 · 3 · 3. Using exponents, you can write this as 22 · 32. Today’s Plan: -Warm-up -Prime Factorization -Factor Trees Learning Target: -I will learn to draw factor trees. 1 1/02/09 Prime Factorization Insert Lesson Title Here #38 Write the prime factorization of the number. B. 90 90 45 · 2 9 · 5 · 2 3 · 3 · 5 · 2 Write 90 as the product of two factors. Continue factoring until all factors are prime. The prime factorization of 90 is 3 · 3 · 5 · 2, or 2 · 32 · 5. Today’s Plan: -Warm-up -Prime Factorization -Factor Trees Learning Target: -I will learn to draw factor trees.