Understanding Factors and Properties

The video tutorial covers the use of division to test for factors and the application of the associative property in multiplication. It explains how to determine if a number is a factor by checking for remainders and demonstrates the associative property to find factors of numbers. The tutorial also includes exercises for students to practice these concepts and provides strategies for proving factor relationships.

What is the main purpose of using division and the associative property in this lesson?

• To practice addition and subtraction

• To test for factors and observe patterns

• To learn multiplication tables

• To solve algebraic equations

How can you determine if a number is a factor using division?

• By checking if the division results in a remainder

• By subtracting the numbers

• By adding the numbers

• By multiplying the numbers

What indicates that a number is even?

• It can be divided by two with no remainder

• It ends with a five

• It is greater than 100

• It is a prime number

Why is 83 not divisible by 2?

• Because it ends with a zero

• Because it is greater than 50

• Because it is a prime number

• Because it is an odd number

What is the associative property?

• It states that the way numbers are grouped in multiplication does not change the product

• It states that subtraction is associative

• It states that addition is commutative

• It states that division is distributive

How can the associative property help in finding factors?

• By simplifying addition

• By changing the order of subtraction

• By allowing numbers to be grouped differently to find new factors

• By making division easier

What is the result of decomposing 8 into 4 * 2 when finding factors of 56?

• 4 and 14 are factors of 56

• 8 and 7 are factors of 56

• 16 and 3.5 are factors of 56

• 2 and 28 are factors of 56

How can you prove that a number has 8 as a factor?

• By adding 8 to it

• By showing it can be divided by 8 with no remainder

• By subtracting 8 from it

• By multiplying it by 8

What is the result of using the associative property on 32 = 8 * 4?

• 32 = 16 * 2

• 32 = 8 * 2

• 32 = 4 * 8

• 32 = 2 * 16