| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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fraction |
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integer |
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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.
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 31 | |
| 40 | |
| 24 | |
| 29 |
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
What is the greatest common factor of 64 and 28?
| 28 | |
| 5 | |
| 17 | |
| 4 |
The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 3 factors [1, 2, 4] making 4 the greatest factor 64 and 28 have in common.
| 1 | |
| 2.4 | |
| 0.9 | |
| 3.6 |
1
What is \( \frac{3}{8} \) ÷ \( \frac{2}{5} \)?
| 7\(\frac{1}{2}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{1}{24}\) | |
| \(\frac{15}{16}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{8} \) ÷ \( \frac{2}{5} \) = \( \frac{3}{8} \) x \( \frac{5}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{5}{2} \) = \( \frac{3 x 5}{8 x 2} \) = \( \frac{15}{16} \) = \(\frac{15}{16}\)