If N is the set of natural numbers that are factors of 20, choose the selection below that correctly shows this set in roster form.
(1 point)
Responses
{2, 4, 5, 10}
{2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
{1, 2, 4, 5, 10, 20}
{1, 2, 4, 5, 10, 20}
explain why
The set N represents the set of natural numbers that are factors of 20. This means that all the numbers in the set N are whole numbers that can divide evenly into 20.
The correct selection in roster form is {1, 2, 4, 5, 10, 20}.
This is because:
- 1 is a factor of 20, as it can evenly divide 20.
- 2 is a factor of 20, as it can evenly divide 20.
- 4 is a factor of 20, as it can evenly divide 20.
- 5 is a factor of 20, as it can evenly divide 20.
- 10 is a factor of 20, as it can evenly divide 20.
- 20 is a factor of 20, as it can evenly divide itself.
Therefore, the set in roster form is {1, 2, 4, 5, 10, 20}.
To find the set of natural numbers that are factors of 20, we need to determine all the numbers that divide 20 evenly. One way to do this is to list all the divisors of 20.
The divisors of 20 are 1, 2, 4, 5, 10, and 20.
Therefore, the set of natural numbers that are factors of 20, N, can be written in roster form as:
{1, 2, 4, 5, 10, 20}
So, the correct selection is:
{1, 2, 4, 5, 10, 20}