If N is the set of natural numbers that are factors of 16, choose the selection below that correctly shows this set in roster form. (1 point) Responses {1, 2, 4, 8, 16} {1, 2, 4, 8, 16} {2, 4, 6, 8, 10, 12, 14, 16} {2, 4, 6, 8, 10, 12, 14, 16} {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} {2, 4, 8}
{1, 2, 4, 8, 16}
To find the set of natural numbers that are factors of 16, we need to determine all the numbers that divide 16 without leaving a remainder.
First, let's factorize 16:
16 = 1 * 16
= 2 * 8
= 4 * 4
From these factorizations, we can see that the factors of 16 are: 1, 2, 4, 8, and 16.
Now let's compare the provided selections with this result:
{1, 2, 4, 8, 16} - This selection shows the set of factors of 16 correctly.
{2, 4, 6, 8, 10, 12, 14, 16} - This selection contains numbers that are not factors of 16, such as 6, 10, 12, and 14.
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} - This selection includes all the natural numbers from 1 to 16, rather than just the factors of 16.
{2, 4, 8} - This selection only includes some of the factors of 16, missing 1 and 16.
Therefore, the correct selection that shows the set of factors of 16 in roster form is: {1, 2, 4, 8, 16}.