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# Factors and Multiples

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by

## Rockwell Fransen

on 23 October 2014

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#### Transcript of Factors and Multiples

Factors
Factors are the numbers in a
multiplication sentence that are
being multiplied
8 X 7 = 56
Factors
When asked to find all of the factors of a certain number, I need to think of ALL of the possible multiplication sentences in which the target number is the product.
For example: "List ALL of the factors of 20" means to think of all of the combinations of factors in which 20 is the product
"Well...I know that 4 X 5 equals 20 so that means that 4 and 5 are factors of 20. Anything else...oh yeah 2 X 10 = 20 so 2 and 10 are also factors. 1 X 20 is also equal to 20 so...20 has a total of six possible factors -
1, 2, 4, 5, 10 and 20
Let's try another - All of the factors of 18: 1 and 18 of course (since 1 X 18 =18), 2 and 9 (since 2 X 9 = 18) , 3 and 6 (because 3 X 6 = 18) so all of the factors of 18 are 1, 2, 3, 6, 9, and 18.
What about 4? Isn't that a factor of 18?
Let's see
4 is NOT a factor of 18 because there is no multiplication sentence where I multiply 4 by a whole number and get 18
as a product.
Multiples
Multiples are the numbers you
say when you skip count by a number
5, 10, 15, 20, 25...etc.
multiples of 5
When asked to find multiples of a number, you will be given some more directions since you
cannot list ALL of the
multiples.
What are the multiples of 4 that are greater than 9 and less than 21?
I think: "what numbers would I say if I were counting by 4's that are between 9 and 21?"
4, 8,
12, 16, 20,
24, 28...
Here is another way to think about it
Is 42 a multiple of 5?
No...because if you count by 5's you will never say "42".
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