203×7

203×7 is a mathematical expression representing the multiplication of the number 203 by the number 7. This calculation results in the product 1421. The number 203 is a composite number, meaning it has factors other than 1 and itself. Its prime factorization is 7 × 29. The number 7 is a prime number, as its only positive divisors are 1 and 7. Therefore, the expression 203×7 can also be written as (7 × 29) × 7.

The calculation can be performed using standard multiplication methods. One way to compute 203×7 is to multiply each digit of 203 by 7 separately and then sum the results. Seven multiplied by the units digit (3) is 21. Seven multiplied by the tens digit (0) is 0. Seven multiplied by the hundreds digit (2) is 14. Adding these results, while accounting for place value, yields: (200 × 7) + (0 × 7) + (3 × 7) = 1400 + 0 + 21 = 1421.

Alternatively, using the standard algorithm for multiplication, one would write 203 over 7. Multiplying 7 by 3 gives 21; write down 1 and carry over 2. Multiplying 7 by 0 gives 0; add the carried-over 2 to get 2. Multiplying 7 by 2 gives 14. Reading the digits from left to right, the result is 1421.

The number 1421 is a composite number. Its prime factorization is 7 × 7 × 29, or 7² × 29. The equation 203×7 = 1421 is a simple instance of arithmetic involving a three-digit number and a single-digit number.