The correct selection that shows the set in roster form is:
a) {1, 2, 4, 8, 16}
a{1,2,4,8,16}
b{2,4,6,8,10,12,14,16}
c{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,6}
d{2,4,8}
a) {1, 2, 4, 8, 16}
We can start by listing down all the factors of 16: 1, 2, 4, 8, and 16.
Now, let's check each option provided to determine which one correctly represents this set in roster form:
a{1,2,4,8,16}: This option is correct because it includes all the factors of 16.
b{2,4,6,8,10,12,14,16}: This option is incorrect because it includes numbers that are not factors of 16, such as 6, 10, 12, and 14.
c{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,6}: This option is incorrect because it includes numbers that are not factors of 16, such as 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, and 15.
d{2,4,8}: This option is correct because it includes all the factors of 16.
Therefore, the correct selection that shows the set of natural numbers that are factors of 16 in roster form is:
a{1,2,4,8,16}
d{2,4,8}