SAT Math Multiple Choice Practice Question 262: Answer and Explanation
20. If m is the product of all of the integers from 1 to 10, inclusive, and 2n is a factor of m, then what is the greatest possible value of n?
Correct Answer: C
You can factor even further in terms of primes: . This shows that there are a maximum of eight factors of 2, so the greatest power of 2 that is a factor of m is 28.