2×7×101

2×7×101 denotes the product of the integers 2, 7, and 101. The calculation yields 1414.

Prime factorization and squarefree: The factors 2, 7, and 101 are primes, so the prime factorization of 1414 is 2 × 7 × 101. Because the prime factors are distinct, 1414 is squarefree.

Divisors and basic properties: The positive divisors of 1414 are 1, 2, 7, 14, 101, 202, 707, and 1414. The number is even and not a perfect square; its approximate square root is about 37.6. It is not divisible by 3 or 5, and it has exactly eight positive divisors due to its three distinct prime factors.

Context and usage: The expression 2×7×101 is often used to illustrate prime factorization and divisor arithmetic in introductory number theory. The resulting value, 1414, serves as a representative example of a composite, squarefree number and can appear in mathematical exercises or datasets where explicit factorization is shown. In decimal notation, 1414 does not exhibit any unusual symmetry beyond its recurring two-digit block, but as a number it reinforces concepts such as prime factors, divisors, and basic properties of composite integers.