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Mastering Prime Factorization and Greatest Common Factor in Numbers

uzuri avatar
uzuri
9 diapositives · 234 Views · Oct 11, 2014

In this lesson, students will learn how to find the prime factorization of numbers and identify the greatest common factor (GCF). We will start with a discussion on what factors are, with examples of divisibility rules for different scenarios. Students will gain a clear understanding of prime and composite numbers, how to express composite numbers as products of primes, and how to find the GCF for two or more numbers. Engaging practice problems will help reinforce their skills.

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  1. Prime Factorization SWBAT find the prime factorization of a number

  2. 30 second starter: Discuss with a partner – what is a factor? A number that will go into given number If it is an even number (ends in 0, 2, 4, 6, or 8) If the sum of its digits is divisible by 3 If the last 2 digits are divisible by 4 If it ends in a 5 or a 0 If it is divisible by both 2 and 3 If the last 3 digits are divisible by 8 If the sum of its digits are divisible by 9 If it ends in a 0

  3. Exponential form Write 2x2x2x2x2x2 in exponential form. 26 Prime Number A whole number greater than 1 that has exactly 2 factors, 1 and itself Composite Number A whole number greater than 1 that has more than 2 factors Prime Factorization Way of showing a composite number as the product of its prime numbers

  4. Examples 30 80 63 52 160

  5. Try These 42 2 · 3 · 7 70 2 · 5 · 7 36 22 · 32

  6. Greatest Common Factor SWBAT find the greatest common factor of two or more numbers; simplify fractions by using the GCF and factoring; form equivalent fractions

  7. Definitions Greatest common factor The largest number that is a factor of two or more given numbers Equivalent fractions Two fractions that have the same value

  8. Examples 20 and 45 10 and 24 6, 14, and 28 8, 16, and 36 49 and 56 12 and 30

  9. Try These 14 and 28 14 17 and 19 1 8 and 20 4