28×301

28×301 is the product of the integers 28 and 301. In decimal arithmetic, it evaluates to 8428.

A straightforward calculation uses the distributive property: 28×301 = 28×(300+1) = 28×300 + 28 = 8400 + 28 = 8428. Another verification can be done by expanding 301×28 as 301×20 + 301×8 = 6020 + 2408 = 8428. Both methods yield the same result, illustrating the reliability of basic multiplication rules.

Prime factorization shows how the result arises from the factors of the two numbers. 28 factors as 2^2×7, and 301 factors as 7×43. Multiplying these gives 2^2×7^2×43, which equals 8428. This demonstrates how prime factorization can be used to understand the structure of a product.

In a broader context, 28×301 is a typical example used to illustrate the distributive property, mental math strategies, and cross-checks in elementary and intermediate arithmetic. The expression is also a reminder that products of integers can often be simplified or verified by breaking one factor into convenient parts or by factoring the other.

See also: multiplication, distributive property, factorization.