1. The problem asks us to find which number among 10, 60, 100, and 160 does NOT have the same prime factors as 40. 2. First, find the prime factors of 40. $$40 = 2^3 \times 5$$ 3. Now, find the prime factors of each option: - 10: $$10 = 2 \times 5$$ - 60: $$60 = 2^2 \times 3 \times 5$$ - 100: $$100 = 2^2 \times 5^2$$ - 160: $$160 = 2^5 \times 5$$ 4. Compare the prime factors of each number with those of 40. - 10 has prime factors 2 and 5, same as 40. - 60 has prime factors 2, 3, and 5. The factor 3 is not in 40. - 100 has prime factors 2 and 5, same as 40. - 160 has prime factors 2 and 5, same as 40. 5. Therefore, the number that does NOT have the same prime factors as 40 is 60 because it includes the prime factor 3 which 40 does not have. Final answer: B 60