Exploring the Basics of Factoring in Mathematics

This video lesson introduces the concept of factors, explaining their importance in understanding number relationships. It provides examples using numbers 18 and 24, and explains common and greatest common factors. The video includes practice problems with numbers 32 and 56, and discusses prime numbers with a trick question involving numbers 47 and 63. The lesson concludes with a preview of the next topic on prime numbers and factorization.

What are factors of a number?

• All integers that can divide the number without leaving a remainder

• Numbers that can be multiplied to get the number

• Prime numbers less than the number

• The sum of all integers less than the number

What are the common factors of 18 and 24?

• 2, 4, 6, 12

• 1, 2, 3, 6

• 1, 3, 9, 18

• 1, 2, 4, 8

What does the greatest common factor represent?

• The difference between two numbers

• The largest number that divides two numbers

• The sum of all common factors

• The smallest number that divides two numbers

What are the factors of 32?

• 1, 2, 3, 4, 6, 8

• 1, 4, 8, 16, 32

• 1, 3, 9, 27, 32

• 1, 2, 4, 8, 16, 32

What is the greatest common factor of 32 and 56?

• 4

• 8

• 16

• 28

Which of the following numbers is a prime number?

• 32

• 47

• 56

• 63

What is the greatest common factor of 47 and 63?

• 3

• 63

• 47

• 1