74×105

74×105 is the product of the integers 74 and 105. The result is 7,770.

Calculation can be done in several straightforward ways. For example, 74×105 equals 74×100 plus 74×5, which is 7,400 plus 370, totaling 7,770. Another common approach is to break 105 into 70 and 4, giving 105×70 = 7,350 and 105×4 = 420, which also sum to 7,770.

Prime factorization shows the underlying composition of the product. Since 74 = 2×37 and 105 = 3×5×7, their product is 2×3×5×7×37 = 7,770. Consequently, 7,770 is divisible by 2, 3, 5, 7, and 37, and can be represented as 210×37 or 7×1,110, among other forms.

In practical terms, 74×105 could describe the area of a rectangle with sides measuring 74 units and 105 units, yielding 7,770 square units. In mathematics education, it serves as a representative example of multi-digit multiplication and prime factorization, illustrating how composite numbers arise from the product of smaller integers.