Final answer:
Multiplying 6 by 10 1/4 (or 41/4) results in a product of 61.5, which is greater than each of the factors 6 and 10 1/4. Thus, the product is greater than each individual factor.
Step-by-step explanation:
The product of 6 and 10 1/4 is found by multiplying these two numbers together. To determine if the product is greater than or less than the individual numbers (factors), we perform the multiplication. First, we convert 10 1/4 to an improper fraction, which is 41/4. Then, we multiply 6 by 41/4:
6 × (41/4) = (6 × 41) / 4 = 246/4 = 61.5.
Now, compare the product 61.5 with each of the factors, 6 and 10 1/4. Clearly, 61.5 is greater than each factor (6 and 10 1/4). Therefore, the product of 6 and 10 1/4 is greater than each of its individual factors. This is because when multiplying a whole number by a fraction greater than 1, the product will always be larger than the whole number.