Factors and Products Flashcards
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Questions and Answers

What is the definition of factors?

  • An arrangement of items into a rectangular pattern
  • A number that has only two factors
  • The numbers multiplied together in a multiplication problem (correct)
  • The answer in a multiplication problem

What is the product in a multiplication problem?

The answer in a multiplication problem

The order of factors may be changed without changing the answer.

True (A)

What is an array?

<p>An arrangement of items into a rectangular pattern of rows and columns</p> Signup and view all the answers

What is a prime number?

<p>A number that has only two factors, one and itself</p> Signup and view all the answers

What is a multiple?

<p>A number that is a product of a given whole number; skip counting</p> Signup and view all the answers

What is an exponent?

<p>A shortcut for writing repeated factors</p> Signup and view all the answers

What is a square number?

<p>The product of two factors that are the same</p> Signup and view all the answers

What is the vertical placement of an array called?

<p>Column</p> Signup and view all the answers

What is the horizontal placement of an array called?

<p>Row</p> Signup and view all the answers

What is a factor tree?

<p>A diagram that shows the prime factors of a composite number</p> Signup and view all the answers

What are composite numbers?

<p>All numbers that are not prime</p> Signup and view all the answers

Study Notes

Key Mathematical Concepts

  • Factors: Numbers that multiply together to yield a product in a multiplication problem.
  • Product: The result obtained from multiplying factors.

Properties of Multiplication

  • Commutative Property: Changing the order of factors does not alter the product. For example, 3 × 4 equals 4 × 3.
  • Multiples: These are products generated by multiplying a given whole number, often identified through skip counting.

Mathematical Structures

  • Array: An organized arrangement displaying items in rows and columns, facilitating visualization of multiplication and factors.
  • Columns and Rows: In an array, columns refer to the vertical placements, while rows indicate horizontal placements.

Number Types

  • Prime Numbers: Defined by having exactly two factors: one and itself. Examples include 2, 3, 5, and 7.
  • Composite Numbers: These include all numbers that are not prime; they possess more than two factors.

Miscellaneous Concepts

  • Exponent: A notation indicating repeated multiplication of a factor, simplifying computations (e.g., 3² means 3 × 3).
  • Square Number: The product of a factor multiplied by itself, such as 4 (2 × 2) or 9 (3 × 3).
  • Factor Tree: A visual tool that breaks down a composite number into its prime factors, illustrating its factorization.

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Explore the fundamental concepts of multiplication with these flashcards. Each card provides a key term related to factors and products, along with its definition. Perfect for students looking to reinforce their understanding of multiplication and its properties.

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