27822×7

27822 × 7 is the product of the integers 27,822 and 7. The result is 194,754.

Calculation can be shown in a couple of straightforward ways. A direct decomposition yields (27,000 + 822) × 7 = 189,000 + 5,754 = 194,754. Another check uses distributivity: 27,822 × 7 = 27,822 × 5 + 27,822 × 2 = 139,110 + 55,644 = 194,754.

Factorization and properties: 27,822 factors as 2 × 3 × 4637, so 27,822 × 7 equals 2 × 3 × 7 × 4637 = 42 × 4637, which equals 194,754. The product is even and ends with the digit 4; its digit sum is 30, indicating divisibility by 3 but not by 9. The result can also be checked by division: 194,754 ÷ 7 = 27,822.

In numerical practice, this multiplication illustrates basic arithmetic principles such as distributivity and base-10 operations, and it serves as a straightforward example of multiplying a five-digit number by a single-digit number.