105×6

105×6 is the product of the integers 105 and 6. The multiplication yields 630, making 105×6 = 630.

A simple calculation can be shown using the distributive property: 105×6 = (100+5)×6 = 600 + 30 = 630. This illustrates the standard method of breaking numbers into tens, hundreds, or other place-value components to simplify multiplication.

In prime factor terms, 105 is 3×5×7 and 6 is 2×3. Therefore, 105×6 factors as 2×3^2×5×7, which equals 630. This prime factorization implies that 630 is an even composite number with multiple divisors. The total number of divisors is (1+1)(2+1)(1+1)(1+1) = 24, reflecting its rich factor structure.

In Roman numerals, 630 is written as DCXXX. The number also has practical representations, such as 630 seconds equaling 10 minutes and 30 seconds, or 630 units in a counting or measurement context.

See also: multiplication, arithmetic for beginners, prime factorization, divisors.