Anna L.

asked • 07/22/15

How many different numbers are in both sets A and B?

The whole question:
If set A is the set containing the positive integer factors of 12 and set B is the set containing the positive integer factors of 16, how many different numbers are in both sets A and B?
 
I thought it was 2, but the correct answer is 3. I don't know why. Please help. Thank you!

Stephanie M.

tutor
My guess would be that you probably thought of 2 (2×6 = 12, 2×8 = 16) and 4 (4×3 = 12, 4×4 = 16), but left out 1 (1×12 = 12, 1×16 = 16). Remember that 1 is a factor of every number. Let me know if this doesn't make sense, and I'll leave a longer answer!
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07/22/15

Anna L.

Oh, okay. Thank you. I did forget the the 1.
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07/22/15

1 Expert Answer

By:

Raymond B. answered • 12/26/20

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12 has factors 1,2,3,4,6 and 12

16 has factors 1,2,4,8,16


1,2 and 4 are common to both A and B


only different factors are A has 3,6 and 12 which are not in B. That's 3 factors that are different

B has 8 and 16 which are not in A. That's 2 factors that are different.



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