Pre-Algebra 10 - Factoring

The video tutorial explains the concept of factors, prime numbers, and composite numbers. It introduces the fundamental theorem of arithmetic, which states that any integer greater than one can be expressed as a unique product of prime numbers. The process of factoring is demonstrated through examples, including the numbers 420 and 849, showing how to break them down into their prime factors. The tutorial emphasizes the importance of factoring in mathematics, particularly in arithmetic operations involving fractions.

What is a prime number?

• A number that is even

• A number with only one factor

• A number with exactly two factors

• A number with more than two factors

According to the fundamental theorem of arithmetic, how can any integer greater than one be expressed?

• As a sum of prime numbers

• As a unique product of prime numbers

• As a difference of prime numbers

• As a quotient of prime numbers

What is the first step in factoring a number?

• Check if the number is odd

• Check if the number is even

• Divide the number by 10

• Determine if the number is prime or composite

Which of the following is a factor of 420?

• 13

• 7

• 11

• 9

When factoring 849, why is 3 considered a factor?

• Because 849 is even

• Because the sum of its digits is divisible by 3

• Because 849 ends in 3

• Because 849 is a prime number

Why can we stop testing for factors of 283 after dividing by 17?

• Because 283 is less than 17

• Because 283 is a prime number

• Because 17 is the largest prime number

• Because 283 is even

What are the prime factors of 849?

• 5 and 169

• 11 and 77

• 7 and 121

• 3 and 283