3827×10

3827×10 is a simple multiplication of the integer 3827 by the base-ten multiplier 10. The result is 38,270. In base‑10 arithmetic, multiplying by 10 is equivalent to appending a zero to the right side of the original number, thereby shifting all digits one position to the left. Thus, 3827 becomes 38,270. The operation follows from the general rule that any number n multiplied by 10^k shifts its decimal representation k places to the left, adding k trailing zeros. When applied to 3827, the factor 10^1 adds a single zero, producing a five‑digit integer that is even and ends with zero, making it divisible by 10.

The product 38,270 inherits factors from both operands: since 3827 is not divisible by 2 or 5, any common factors come solely from the multiplier 10, namely 2 and 5. Consequently, 38,270 factors as 2 × 5 × 3827 = 10 × 3827. This representation highlights its divisibility by 2, 5, and 10, while remaining co-prime with numbers that share no factors with 3827.

In practical contexts, expressions like 3827×10 arise in scaling measurements, financial calculations, and data processing where a value must be expanded by a factor of ten. The operation is computationally trivial and often used as a test case for basic arithmetic algorithms.