161×15

161×15 is the product of the integers 161 and 15. The result is 2415.

Calculation can be shown in several standard ways. One method uses distributivity: 161×15 = 161×(10+5) = 1610 + 805 = 2415. Another method groups the factors as (160+1)×15 = 2400 + 15 = 2415. Both approaches illustrate how breaking numbers into parts can simplify mental math or written multiplication.

Prime factorization of the components helps understand the product. 161 factors as 7×23, and 15 factors as 3×5, so 161×15 = 7×23×3×5 = 3×5×7×23 = 2415. This also shows why the product is divisible by 15 (it has factors 3 and 5) and by 5 due to the final digit.

Divisibility and magnitude: the product ends with 5, so it is divisible by 5. The digit sum of 2415 is 12, making it divisible by 3, and hence divisible by 15. The number 2415 is a four-digit integer and fits within typical ranges for arithmetic examples in educational contexts.

Applications and context: 161×15 may appear in basic arithmetic tasks, accounting practice, or demonstrations of the distributive property and prime factorization. There is no notable historical significance attached to this specific multiplication beyond its use as a representative calculation.

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