Understanding Factors and Prime Factorization

The video tutorial explains how to determine the factors of 96 by using the definition of factors and prime factorization. It begins with an introduction to factors, followed by a detailed explanation of creating a prime factorization tree for 96. The tutorial then demonstrates how to find factor pairs using the prime factors and lists all factors of 96 in order. The video concludes with a summary and a preview of the next example.

What is a factor in mathematical terms?

• A number that is always greater than another number

• A number that cannot be divided by any other number

• A number that can be divided by another number without a remainder

• A number that is always less than another number

What is the first step in finding the factors of ninety-six?

• Listing all numbers up to ninety-six

• Multiplying ninety-six by itself

• Using the prime factorization method

• Dividing ninety-six by two

Which of the following is a prime factor of ninety-six?

• Nine

• Four

• Six

• Two

How can ninety-six be expressed using its prime factors?

• Two times forty-eight

• Three times thirty-two

• All of the above

• Four times twenty-four

Which of the following is NOT a factor of ninety-six?

• Eight

• Six

• Five

• Twelve

What is the product of six and sixteen?

• Sixty-four

• Seventy-two

• Eighty

• Ninety-six

Which number is a factor of ninety-six and also a multiple of eight?

• Forty-eight

• Forty

• Twenty-four

• Thirty-two

What is the smallest factor of ninety-six?

• Three

• One

• Two

• Four

How many factors does ninety-six have?

• Sixteen

• Fourteen

• Twelve

• Ten

Why is prime factorization useful in finding all factors of a number?

• It simplifies the number

• It ensures no factors are missed

• It makes the number larger

• It only finds even factors