Factors and Multiples

What is the difference between factors and multiples?

• Factors are odd numbers, while multiples are even numbers

• Factors are prime numbers, while multiples are composite numbers

• Factors are smaller than the given number, while multiples are larger

• Factors are the numbers that divide a given number exactly, while multiples are the result of multiplying a given number by another number.

Find the factors of 24.

• 2, 4, 8, 16

• 5, 10, 15, 20

• 1, 3, 5, 7

• 1, 2, 3, 4, 6, 8, 12, 24

Find the multiples of 7.

• 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...

• 15

• 10

• 5

Is 35 a multiple of 5? Why or why not?

• Yes

• No, because 35 is a prime number

• No, because 35 is not divisible by 5

• No, because 35 is an odd number

List all the factors of 36.

• 5, 7, 8, 10, 11, 13, 14, 15, 16

• 1, 2, 3, 4, 6, 9, 12, 18, 36

What is the least common multiple of 8 and 12?

• 24

• 20

• 10

• 16

Explain the relationship between factors and multiples.

• Multiples are the same as factors

• Factors and multiples are related in that the multiples of a number are obtained by multiplying that number by the natural numbers, while the factors of a number are the numbers that can be multiplied together to get that number.

• Factors are only prime numbers

• Factors are always larger than multiples

Find the first 5 multiples of 9.

• The first 5 multiples of 9 are 11, 22, 33, 44, and 55.

• The first 5 multiples of 9 are 10, 20, 30, 40, and 50.

• The first 5 multiples of 9 are 9, 18, 27, 36, and 45.

• The first 5 multiples of 9 are 8, 16, 24, 32, and 40.

Is 48 a factor of 96? Why or why not?

• No, because 48 is not a multiple of 96

• No, because 48 is not a prime number

• Yes

• No, because 96 is not divisible by 48

Find the greatest common factor of 18 and 27.

• 6

• 12

• 9

• 15