Choose numbers with a particular product

Learning Objectives Define 'product' and 'factor' in their own words. Identify factor pairs for a given whole number up to 100. Systematically list all factor pairs for a given product. Use multiplication facts and division to find numbers that result in a specific product. Solve real-world problems that require choosing numbers with a particular product. Differentiate between prime and composite numbers based on their factors. Imagine you have 24 candies and want to arrange them into equal rows. How many different ways could you do it? 🤔 This lesson will help you find all the possibilities! In this lesson, you'll learn how to find pairs of numbers that multiply together to give you a specific target number, called the product. This skill is super...

TermDefinitionExample ProductThe result you get when you multiply two or more numbers together.In $3 \times 4 = 12$, the number 12 is the product. FactorA number that divides another number exactly, without leaving a remainder. Factors are the numbers you multiply to get a product.In $3 \times 4 = 12$, the numbers 3 and 4 are factors of 12. Factor PairTwo factors that multiply together to give a specific product.For the product 12, (3, 4) is a factor pair, and (1, 12) is another factor pair. MultiplicationA mathematical operation that involves combining equal groups or finding the total number of items in an array. It's often described as repeated addition.$5 \times 3$ means 5 groups of 3, which is $3+3+3+3+3=15$. DivisionA mathematical operation that involves splitting a number into...

Commutative Property of Multiplication $a \times b = b \times a$ This rule tells us that the order in which you multiply numbers does not change the product. For example, $3 \times 4$ gives the same product as $4 \times 3$. This means if (3,4) is a factor pair, then (4,3) is also a factor pair, but we usually list them only once. Identity Property of Multiplication $a \times 1 = a$ Any number multiplied by 1 equals that number itself. This means that 1 and the number itself will always be a factor pair for any whole number greater than 1. Inverse Relationship of Multiplication and Division If $a \times b = c$, then $c \div a = b$ and $c \div b = a$ This rule is crucial for finding factors. If you know a product (c) and one of its factors (a), you can use division to...