11×8001

11 × 8001 denotes the product of the integers 11 and 8001. The numerical result is 88,011.

The multiplication can be computed by distributing the 11: 11 × 8001 = 8001 × (10 + 1) = 80,010 + 8,001 = 88,011.

In terms of factorization, 8001 factors as 3^2 × 7 × 127. Therefore, 88,011 = 11 × 8001 = 3^2 × 7 × 11 × 127. This shows that 88,011 is a composite number with prime factors including 3, 7, 11, and 127.

Additional properties include that the sum of the digits of 88,011 is 18, so the number is divisible by 3 and by 9, with 88,011 = 9 × 9,779 and 9,779 = 11 × 889, with 889 = 7 × 127. The result thus confirms the overall factorization.

This expression is a straightforward example of multiplying a multi-digit integer by a small integer, illustrating standard arithmetic and basic factorization concepts. It is also compatible with mental math techniques for multiplying by 11.