If N is the set of natural numbers that are factors of 24, choose the selection below that correctly shows this set in roster form.
1. {2, 4, 6, 12}
2. {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
3. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24}
4. {1, 2, 3, 4, 6, 8, 12, 24}

Question

If N is the set of natural numbers that are factors of 24, choose the selection below that correctly shows this set in roster form.
	1.	{2, 4, 6, 12}
	2.	{2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
	3.	{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24}
	4.	{1, 2, 3, 4, 6, 8, 12, 24}

jimthompson5910 · Answer

Is something like 16 a factor of 24?

fiftymender4928 · Answer

well the common factors of 16 and 24 are: 1, 2, 4, and 8.

jimthompson5910 · Answer

That's true but can we multiply 16 by some whole number to get 24?

In other words, is 24/16 equal to a whole number?

fiftymender4928 · Answer

i think.

jimthompson5910 · Answer

use your calculator and tell me what 24/16 is equal to

fiftymender4928 · Answer

k

fiftymender4928 · Answer

it equals 4

jimthompson5910 · Answer

you have to type the division key

fiftymender4928 · Answer

i did

jimthompson5910 · Answer

24 divided by 16 is not equal to 4

fiftymender4928 · Answer

oh bruh i typed the slash im dumb

jimthompson5910 · Answer

the slash should be a division sign on your calculator, though not all calculators are the same

fiftymender4928 · Answer

im using my computer but i divided it and it says its 1.5

jimthompson5910 · Answer

some would have the button labeled $ \div $

jimthompson5910 · Answer

i see

jimthompson5910 · Answer

yes 24/16 = 1.5

jimthompson5910 · Answer

since it's not a whole number result, this means 16 is not a factor of 24

jimthompson5910 · Answer

so we can eliminate any option that has 16 in the set

fiftymender4928 · Answer

yep

jimthompson5910 · Answer

the middle two options are crossed off leaving either {2, 4, 6, 12} or {1, 2, 3, 4, 6, 8, 12, 24} as the possible answer

jimthompson5910 · Answer

Now check something like the number 3
Is 3 a factor of 24?

fiftymender4928 · Answer

yes 3 is a factor of 24

jimthompson5910 · Answer

agreed since 24/3 = 8

jimthompson5910 · Answer

and that's a whole number result

jimthompson5910 · Answer

you should find that all of  {1, 2, 3, 4, 6, 8, 12, 24} are factors of 24
I'll let you check each one

fiftymender4928 · Answer

okay

fiftymender4928 · Answer

okay i checked it and its correct.

jimthompson5910 · Answer

Agreed and as an alternative you could say 
1*24 = 24
2*12 = 24
3*8 = 24
4*6 = 24
as a way to show that all of  {1, 2, 3, 4, 6, 8, 12, 24} are factors of 24

fiftymender4928 · Answer

yeah anyways thx for the help you were a great help.

jimthompson5910 · Answer

you're welcome