Factoring and Properties of Numbers

The video tutorial reviews prime numbers, explaining that a prime number is only divisible by itself and one. It uses examples like six and eleven to illustrate the concept. The tutorial then transitions into factoring, demonstrating how to express numbers as a product of their prime factors. It emphasizes the importance of identifying like terms in algebraic expressions and explains the process of factoring the expression 8m - 6 by finding the greatest common factor. The tutorial concludes by verifying the factored form using the distributive property.

What is a prime number?

• A number that can be divided by any number.

• A number that is even.

• A number that can only be divided by 1 and itself.

• A number that can be divided by 2 and 3.

Which of the following is a prime number?

• 11

• 9

• 8

• 6

Why is the number 6 not considered a prime number?

• It is an even number.

• It can be divided by numbers other than 1 and itself.

• It is less than 10.

• It is a single-digit number.

What does it mean to factor a number?

• To add it to another number.

• To divide it by 2.

• To subtract it from another number.

• To write it as a product of its factors.

What is the factored form of the number 6?

• 2 x 2

• 3 x 3

• 1 x 6

• 2 x 3

What is the expression given in the problem to factor?

• 8m + 6

• 6m + 8

• 8m - 6

• 6m - 8

Why can't 8m - 6 be combined into a single term?

• They have different coefficients.

• They have different exponents.

• They have different bases.

• They are both constants.

What is the goal when rewriting an expression as a multiplication problem?

• To find the sum of the terms.

• To divide the terms.

• To add the terms together.

• To express it as a product of factors.

What does the distributive property involve?

• Multiplying a number outside the parentheses by each number inside.

• Adding numbers inside parentheses.

• Dividing numbers inside parentheses.

• Subtracting numbers inside parentheses.

What is the greatest common factor of 8m and -6?

• 3

• 4

• 1

• 2