##### Number Theory: Prerequisite Check

We teach hard concepts with the easiest words we can. Let's make sure you know the words and ideas we need. This course is just right if you get at least 80% on this test, but less than 70% of the place-out test. This test should be very easy for you, since it is only making sure you have the basics to understand.

Time Left:

10:00

1.

What is the last digit of

$8 \times 8 \times 8?$

$$2$$

$$4$$

$$6$$

$$8$$

$$0$$

2.

What is the sum of the factors of $$32?$$

$$3$$

$$31$$

$$62$$

$$63$$

$$72$$

3.

How many factors does the number $$12$$ have?

$$2$$

$$3$$

$$4$$

$$5$$

$$6$$

4.

What is the remainder you get after dividing $$71$$ by $$14?$$

$$1$$

$$3$$

$$5$$

$$7$$

$$9$$

5.

Which of these numbers are factors of $$7!$$ (seven factorial)? Choose all that work.

$$1$$

$$2$$

$$4$$

$$8$$

$$16$$

6.

What is the smallest positive integer $$x$$ that would make $$392x$$ a perfect square?

$$2$$

$$3$$

$$4$$

$$5$$

$$6$$