8×82101

8×82101 denotes the product of the integers 8 and 82101. The resulting value is 656,808. This is a straightforward arithmetic operation commonly encountered in basic mathematics and used to illustrate multiplication of multi-digit numbers.

The calculation can be performed in several ways. A practical method is doubling: 82101 × 2 = 164,202; doubling again gives ×4 = 328,404; and doubling once more yields ×8 = 656,808. This approach highlights the binary scaling of the multiplicand. In standard long multiplication, 82101 times 8 also produces 656,808.

Factorization and properties: 82101 factors as 3 × 27367, where 27367 is a prime number. Therefore, the prime factorization of the product 8×82101 is 2^3 × 3 × 27367, which equals 656,808. The result is an even number and divisible by 3, via the factors shown.

Context and usage: Such a product appears in a variety of math contexts, including algebraic expressions, unit conversions, or scaling problems. While 8×82101 is a simple numeric example, its exact value and factorization illustrate general principles of multiplication and prime decomposition.