2×9×8×6864

2×9×8×6864 is an arithmetic expression that multiplies four integers: 2, 9, 8, and 6864. The value of this product is 988,416.

Calculation: Evaluating in steps illustrates the associativity of multiplication. For example, (2×8) = 16 and (9×6864) = 61,776, and then 16×61,776 = 988,416. Equivalently, (2×9)×(8×6864) = 18×(8×6864) = 18×54,912 = 988,416.

Prime factorization and properties: 6864 factors as 2^4 × 3 × 11 × 13. Including 2 (the first factor), and 8 (=2^3) and 9 (=3^2) yields the full product factorization as 2^8 × 3^3 × 11 × 13, which equals 988,416. The digit sum of 988,416 is 36, confirming divisibility by 9, and the factorization shows the number is divisible by 27 as well.

Context and relevance: This example illustrates basic properties of multiplication, including commutativity and associativity, since different groupings produce the same result. It also demonstrates how prime factorization can be used to verify the product and deduce divisibility properties. The result, 988,416, is a large even integer produced by a simple, four-term multiplication.