244×108

244×108 denotes the product of the integers 244 and 108, and it equals 26,352. This is a straightforward arithmetic multiplication often encountered in basic math exercises and in algebraic contexts.

The calculation can be shown in several equivalent ways. One common approach uses the distributive property: 244×108 = 244×(100+8) = 24,400 + 1,952 = 26,352. Another approach expands the factors: 244×108 = (200+40+4)×108 = 21,600 + 4,320 + 432 = 26,352. Both methods yield the same result.

Prime factorization clarifies the structure of the product. 244 factors as 2^2 × 61, and 108 factors as 2^2 × 3^3. Thus 244×108 = 2^4 × 3^3 × 61 = 16 × 27 × 61 = 26,352. The decimal representation is 26,352, and the factorization shows the divisibility properties: the product is divisible by 16, by 27, and by 61, with the combined prime factorization giving the full divisors.

In broader use, 244×108 appears in mathematical problems involving multiplication, factoring, or area calculations where dimensions or counts are given as integers. It serves as a concrete example of applying the distributive property and prime factorization to verify a product.

See also: multiplication, distributive property, prime factorization.