We want to see if the given statement is true or not, and we will prove that it is true.
A number N has 2 as a factor if we can rewrite:
N = 2*k
Where k is an integer.
Now we want to see if all multiples of 4 have 2 as a factor.
A multiple of 4 can be written as:
N = 4*p
Where p is an integer.
And we know that:
4 = 2*2
Then we rewrite:
N = (2*2)*p = 2*(2*p)
Then a multiple of 4 is written as: 2*(2*p)
2 times an integer, so yes, 2 is a factor of this number, thus, Lindsay is correct.
If you want to learn more, you can read:
https://brainly.com/question/2901386
