Mathematics Grade 4 15 min

Identify factors

Identify factors

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Introduction & Learning Objectives

Learning Objectives Define the term 'factor' in their own words. Identify all factor pairs for a whole number up to 100. List all the factors of a given whole number in an organized way. Use division to determine if a number is a factor of another number. Explain that 1 is a factor of every number. Recognize that every number is a factor of itself. If you have 12 cookies to share, how many different ways can you arrange them into equal stacks? 🍪 Let's find out! In this lesson, you will learn what factors are and how to find them. Understanding factors is a key building block for multiplication, division, and even fractions, which you'll be learning more about soon! Real-World Applications Arranging chairs in equal rows for a school assembly. Shari...
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Key Concepts & Vocabulary

TermDefinitionExample FactorA number that is multiplied by another number to get a product. It also divides another number exactly, with no remainder.In the equation 3 x 4 = 12, the numbers 3 and 4 are factors of 12. ProductThe answer you get when you multiply two or more numbers together.In the equation 3 x 4 = 12, the number 12 is the product. Factor PairA set of two factors that, when multiplied together, result in a specific product.For the number 12, (3, 4) is a factor pair because 3 x 4 = 12. Another factor pair is (2, 6). DivisibleA number is divisible by another number if it can be divided evenly, with a remainder of zero.12 is divisible by 4 because 12 ÷ 4 = 3 with no remainder. Whole NumberA number without any fractions, decimals, or negative parts. It includes 0, 1, 2, 3, and s...
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Core Formulas

The Factor Pair Rule Factor_1 \times Factor_2 = Product This is the main idea of factors. Two numbers (the factors) multiply together to create a new number (the product). The Division Check Rule Product \div \text{Possible Factor} = \text{Whole Number (no remainder)} To check if a number is a factor of another, you can use division. If the answer is a whole number with no remainder, then it is a factor. The '1 and Itself' Rule \text{Every number } n > 1 \text{ has factors } 1 \text{ and } n. Every whole number greater than 1 has at least two factors: the number 1 and the number itself. For example, the factors of 7 are 1 and 7.

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Sample Practice Questions

Challenging
Which number between 40 and 50 has the most factors?
A.42
B.45
C.48
D.49
Challenging
The complete list of factors for a mystery number is 1, 2, 4, 8, 16. What is the mystery number?
A.32
B.16
C.8
D.24
Challenging
A teacher has 32 students. She wants to arrange their desks into equal rows. Which of these is NOT a possible number of rows?
A.4
B.8
C.6
D.2

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