Which is NOT a factor pair for 60? A) (2, 30) B) (3, 20) C) (4, 12) D) (6, 10)
The Correct Answer and Explanation is:
Correct Answer: C) (4, 12)
Explanation:
To determine which is not a factor pair of 60, we must first understand what a factor pair is. A factor pair of a number consists of two whole numbers that, when multiplied together, give the original number.
In this case, we are checking which of the given pairs multiply to 60.
Let’s evaluate each option:
- A) (2, 30)
2×30=602 \times 30 = 602×30=60 ✔
✅ This is a correct factor pair. - B) (3, 20)
3×20=603 \times 20 = 603×20=60 ✔
✅ This is also a correct factor pair. - C) (4, 12)
4×12=484 \times 12 = 484×12=48 ❌
🚫 This does not equal 60. So (4, 12) is not a factor pair. - D) (6, 10)
6×10=606 \times 10 = 606×10=60 ✔
✅ This is a correct factor pair.
Additional Clarification:
The complete factor pairs of 60 are: (1,60), (2,30), (3,20), (4,15), (5,12), (6,10)(1, 60),\ (2, 30),\ (3, 20),\ (4, 15),\ (5, 12),\ (6, 10)(1,60), (2,30), (3,20), (4,15), (5,12), (6,10)
Notice that 4 is a factor of 60, and so is 15. But 12 is not the corresponding pair for 4 because: 4×12=48(Not 60)4 \times 12 = 48 \quad \text{(Not 60)}4×12=48(Not 60)
Therefore, although 4 is a factor of 60, pairing it with 12 is incorrect.
Conclusion:
Option C) (4, 12) is not a factor pair of 60 because 4 × 12 = 48, not 60. All the other options are valid factor pairs since their products equal 60.