| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
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3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
| 1 | |
| 4.5 | |
| 0.3 | |
| 2.4 |
1
What is the greatest common factor of 28 and 48?
| 9 | |
| 25 | |
| 23 | |
| 4 |
The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 48 have in common.
The total water usage for a city is 50,000 gallons each day. Of that total, 22% is for personal use and 44% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 5,200 | |
| 3,800 | |
| 11,000 | |
| 4,500 |
44% of the water consumption is industrial use and 22% is personal use so (44% - 22%) = 22% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{22}{100} \) x 50,000 gallons = 11,000 gallons.
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
absolute value |
|
greatest common multiple |
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least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.