14013×1045

14013×1045 denotes the product of the integers 14013 and 1045. When evaluated, the result is 14,643,585, which lies in the tens of millions and is an odd integer.

Prime factorization helps illustrate the arithmetic properties of the product. The number 1045 factors as 5 × 11 × 19. The number 14013 factors as 3^4 × 173, since 14013 = 3 × 4671 = 3^2 × 1557 = 3^3 × 519 = 3^4 × 173, and 173 is a prime. Because these two factors share no common prime factors, their greatest common divisor is 1. Consequently, the prime factorization of the product can be expressed as the product of their prime factors: 14013 × 1045 = 3^4 × 5 × 11 × 19 × 173.

A quick verification can be carried out by reassembling the prime factors: 3^4 is 81; 81 × 5 × 11 × 19 × 173 equals 14,643,585. The coprimality of the two factors implies that properties such as divisor counts are multiplicative for the product as well, though such detail is beyond the basic calculation.

In summary, 14013×1045 equals 14,643,585, with a prime factorization of 3^4 × 5 × 11 × 19 × 173. This example illustrates straightforward large-integer multiplication and the usefulness of prime factorization in understanding the product’s structure.