45×106

45×106 is the product of the integers 45 and 106. The result is 4770.

One way to compute it is by the distributive property: (40+5)×(100+6) = 40×100 + 40×6 + 5×100 + 5×6 = 4000 + 240 + 500 + 30 = 4770. This demonstrates how multiplication combines parts of each factor.

Numerical properties: The product 4770 factors as 2 × 3^2 × 5 × 53. This makes it even and divisible by 3 and 9 (since the digit sum 4+7+7+0 = 18 is a multiple of 9). It can also be expressed as 9 × 530 and 53 × 90, among other factorizations. In scientific notation, 4770 is 4.770 × 10^3.

Context and usage: The calculation is a straightforward arithmetic example commonly used in elementary mathematics to illustrate distributive property and quick mental math. It can appear in problems involving area, scaling, or unit conversions where 45 and 106 are chosen as convenient factors. The result, 4770, serves as a basic integer reference that demonstrates how large products can be decomposed into simpler components.