Choose numbers with a particular product

Learning Objectives Define 'product', 'factor', and 'factor pair'. Find all the factor pairs for a given whole number up to 100. Use a systematic approach, like a T-chart, to ensure all factor pairs are found. Apply the Commutative Property of Multiplication to identify related factor pairs. Solve word problems that require finding two numbers with a specific product. Choose a pair of numbers that meets two conditions, such as a particular product and a particular sum. You have 12 cookies to share! 🍪 How many different ways can you arrange them into equal rows to make a perfect rectangle? In this lesson, we will become number detectives! We'll learn how to work backward from the answer of a multiplication problem (the product) to find the...

TermDefinitionExample ProductThe answer you get when you multiply two or more numbers together.In 4 x 6 = 24, the number 24 is the product. FactorA whole number that multiplies with another number to make a product. Factors are numbers that divide evenly into another number.In 4 x 6 = 24, the numbers 4 and 6 are both factors of 24. Factor PairA set of two factors that, when multiplied together, result in a specific product.For the product 24, (4, 6) is a factor pair because 4 x 6 = 24. Another factor pair is (3, 8). Commutative Property of MultiplicationThis property says that you can multiply numbers in any order and the product will be the same.4 x 6 = 24 is the same as 6 x 4 = 24. So, the factor pair (4, 6) is related to (6, 4). Systematic SearchFinding factors in an organized way, usu...

The Product-Factor Relationship Factor_1 \times Factor_2 = Product This is the fundamental rule. To find numbers with a particular product, you are looking for the factors that multiply together to equal that product. The Commutative Property a \times b = b \times a This rule reminds us that the order of the factors doesn't change the product. When you find one factor pair, like (3, 8), you have also found its reverse, (8, 3). The Systematic Search Method Start with 1, test 2, test 3, ... To make sure you find ALL the factor pairs for a product, always start by testing the number 1. Then, test 2, 3, 4, and so on, until you start repeating factors you've already found.