I do not understand this question can someone explain it to me? Decide if the statement is true or false, and?

why. A) 7| 23 B) 24 is a factor of 8 C) 16 | 16 D) 0 | 6 E) 15 | 0 F) 65 is a multiple of 15 G) n^3 is a divisor of n^5 H) A number is always a factor of its square.I do not understand this question can someone explain it to me? Decide if the statement is true or false, and?
A) 7 | 23


means ';7 divides 23';. This is false as 23 is prime and so it's only divisors are 1 and 23.





B) 24 is a factor of 8.


The factors of a number are the numbers that divide it. The factors of 8 are


1, 2, 4, 8. So 24 is not a factor. This statement is false.





C) 16 | 16


Yes, 16 does divide 16. True.





D) 0 | 6


The factors of 6 are 1, 2, 3, 6. So 0 does not divide 6. False.





E) 15 | 0


EVERYTHING divides 0. So 15 divides 0. True.





F) 65 is a multiple of 15.


The multiples of 15 are


1 x 15 = 15


2 x 15 = 30


3 x 15 = 45


and so on. We find that 4 x 15 = 60 and 5 x 15 = 75. So 65 is not a multiple of 15. False.





G) n^3 is a divisor of n^5


n^5 / n^3 = n^5 * n^(-3) = n^(5-3) = n虏


so n^3 is a divisor of n^5.


True.





H) A number is always a factor of it's square.


Let x be a number.


Then x虏 = x*x


so x is a factor.


True