| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
What is the greatest common factor of 56 and 16?
| 8 | |
| 2 | |
| 4 | |
| 11 |
The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 16 are [1, 2, 4, 8, 16]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 56 and 16 have in common.
What is the least common multiple of 4 and 6?
| 12 | |
| 14 | |
| 3 | |
| 15 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 have in common.
A factor is a positive __________ that divides evenly into a given number.
integer |
|
fraction |
|
improper fraction |
|
mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Simplify \( \sqrt{63} \)
| 3\( \sqrt{7} \) | |
| 8\( \sqrt{14} \) | |
| 7\( \sqrt{14} \) | |
| 9\( \sqrt{14} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{63} \)
\( \sqrt{9 \times 7} \)
\( \sqrt{3^2 \times 7} \)
3\( \sqrt{7} \)
Find the average of the following numbers: 12, 4, 10, 6.
| 3 | |
| 8 | |
| 5 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 4 + 10 + 6}{4} \) = \( \frac{32}{4} \) = 8