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In Module 3, Topic F, armed with an understanding of remainders, students explore factors, multiples, and prime and composite numbers within 100 (4.OA.4). Students gain valuable insights into patterns of divisibility as they test for primes and find factors and multiples, at times using their new skill of dividing double-digit dividends. This prepares them for Topic G’s work with dividends of up to four digits. Lesson 22 has students find factor pairs for numbers to 100 and then use their understanding of factors to determine whether numbers are prime or composite. In Lesson 23, students use division to examine numbers to 100 for factors and make observations about patterns they observe, for example, “When 2 is a factor, the numbers are even.” Lesson 24 transitions the work with factors into a study of multiples, encouraging students to notice that the set of multiples of a number is infinite while the set of factors is finite. In Lesson 25, the Sieve of Eratosthenes uses multiples to enable students to identify and explore the properties of prime and composite numbers to 100.
There are four lessons in this topic.
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