m=?

1) 5 is a factor of m

2) m is a prime number

The OA is C.

Why is C the correct answer? I got confused.

## what is the value of m?

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### GMAT/MBA Expert

- Brent@GMATPrepNow
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VJesus12 wrote:m=?

1) 5 is a factor of m

2) m is a prime number

**Target question:**

**What is the value of m?**

**Statement 1: 5 is a factor of m**

There are several values of m that satisfy statement 1. Here are two:

Case a: m = 5

Case b: m = 10

Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

**Statement 2: m is a prime number**

There are several values of m that satisfy statement 2: m = 2, m = 3, m = 5, m = 7, m = 11, etc

Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

**Statements 1 and 2 combined**

Statement 2 tells us that m is a prime number. This means that m has EXACTLY 2 factors: 1 and m

Statement 1 tells us that 5 is a factor of m

This means that m MUST equal 5

Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Answer: C

Cheers,

Brent

Brent Hanneson - Creator of GMATPrepNow.com

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