Factors and Products Flashcards

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

What is an array?

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

What is a prime number?

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

What is a multiple?

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

What is an exponent?

A shortcut for writing repeated factors Signup and view all the answers

What is a square number?

The product of two factors that are the same Signup and view all the answers

What is the vertical placement of an array called?

Column Signup and view all the answers

What is the horizontal placement of an array called?

Row Signup and view all the answers

What is a factor tree?

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

What are composite numbers?

All numbers that are not prime 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.

Description

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.