Aren’t they all considered “dozen numbers?”?

For example, if you look at the 12 times table, wouldn’t all of the multiples of 12 rightfully be considered dozens?  

12 x 1 = 12

12 x 2 = 24

12 x 3 = 36

12 x 4 = 48

12 x 5 = 60

12 x 6 = 72

12 x 7 = 84

12 x 8 = 96

12 x 9 = 108

12 x 10 = 120

12 x 11 = 132

12 x 12 = 144 

And why are all multiples of 12 naturally divisible by 3?

3 Answers

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  • 2 months ago

    they could all be called "dozens" in the sense that you could say that 3x12=3 dozen, and so on.  In general speech, however, "dozens" is not intended to mean a fixed number of dozens, but simply "many" so that it could be expressed in terms of a number (several, typically) dozens plus whatever would be left over that did not fit exactly into a dozen.

    The reason any multiple of 12 is divisible by 3 (and 4 and 2 and 6) is that 12 is divisible by those factors, so you cannot have a multiple of 12 which is not also a multiple of its factors ( any multiple of twelve will be some number times (4x3) ).  That is the nature of multiplying. you cannot have 12 without 4x3 also being true.

  • 2 months ago

    Yes, 12 = 2^2×3

  • 2 months ago

    24 is 2 doz

    36 is 3 doz

    etc

    144 is 1 gross (doz of doz)

    all multiples of 12 are divisible by 3 (and 4 and 2 and 6) because 12 is. 

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