The prime factorization of a number is 2 cubed times 3 squared times 5. Which is a true statement about the factors of the number?
Fifteen is a factor of the number because both 3 and 5 are prime factors.
Fifteen is not a factor of the number because 15 is odd and the number is even.
Sixteen is a factor for the number because 2 cubed = 8 and 16 is divisible by 8.
Sixteen is not a factor of the number because the exponent of 2 is not even.

The gades foundation and hbm corporation are eager to donate generously to their favorite charities. the gades foundation donated $250 in the first month, and each month afterward their cumulative donation total increases by 100$ the hbm corporation donated $64, in the first month, and each month afterward their cumulative donation total increases by 75%. in which month will the hbm corporation's cumulative donation total first exceed the gades foundations' cumulative donation total?

Which statement most accurately describe why the division property of exponents does not apply to the expression (-8)^2/(-3)^4

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?