| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
Which of these numbers is a factor of 32?
| 20 | |
| 2 | |
| 24 | |
| 35 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.
Simplify \( \sqrt{125} \)
| 4\( \sqrt{5} \) | |
| 5\( \sqrt{5} \) | |
| 3\( \sqrt{10} \) | |
| 8\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)
What is the least common multiple of 4 and 8?
| 15 | |
| 8 | |
| 14 | |
| 6 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 24 | |
| 31 | |
| 38 | |
| 33 |
The equation for this sequence is:
an = an-1 + 2(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common factor |
|
greatest common multiple |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.