# SAT Math Multiple Choice Practice Question 262: Answer and Explanation

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**Question: 262**

**20.** If *m* is the product of all of the integers from 1 to 10, inclusive, and 2* ^{n}* is a factor of

*m*, then what is the greatest possible value of

*n*?

A. 2

B. 4

C. 8

D. 16

E. 32

**Correct Answer:** C

**Explanation:**

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 2^{8}.