Find the median of all positive factors of 48.
7
7 is correct.
The median of an ordered list with an even number of terms is the mean of the two middle terms.
Write 48 as \(2^4 \times 3\); it has \((4+1)(1+1) = 10\) positive factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
The 5th and 6th terms are 6 and 8, so the median is \(\dfrac{6 + 8}{2} = 7\).
How many factors of 2⁷ × 3³ × 5⁴ × 7 are even numbers?
Which of the following numbers is divisible by 12?