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Category: factor

Factor 2x 2 18

Factor 2x 2 18

Input interpretation factor | 2×2×18 Prime factorization 72 = 2^3×3^2 (5 prime factors, 2 distinct) Divisors 1 | 2 | 3 | 4 | 6 | 8 | 9 | 12 | 18 | 24 | 36 | 72 (12 divisors)

Factor 2x 4

Factor 2x 4

Input interpretation factor | 2×4 Prime factorization 8 = 2^3 (3 prime factors, 1 distinct) Divisors 1 | 2 | 4 | 8 (4 divisors)

Factor 2x^2-x-3

Factor 2x^2-x-3

Input interpretation factor | 2 x^2 – x – 3 Result (x + 1) (2 x – 3) Irreducible factorization (x + 1) (2 x – 3) Factorizations over finite fields GF(2) | x + 1

Factor 25x 2 4

Factor 25x 2 4

Input interpretation factor | 25×2×4 Prime factorization 200 = 2^3×5^2 (5 prime factors, 2 distinct) Divisors 1 | 2 | 4 | 5 | 8 | 10 | 20 | 25 | 40 | 50 | 100 | 200 (12 divisors)

Factor 2x 2 3x 1

Factor 2x 2 3x 1

Input interpretation factor | 2×2 (3×1) Prime factorization 12 = 2^2×3 (3 prime factors, 2 distinct) Divisors 1 | 2 | 3 | 4 | 6 | 12 (6 divisors)

Factor 25-x^2

Factor 25-x^2

Input interpretation factor | 25 – x^2 Result -(x – 5) (x + 5) Irreducible factorization -(x – 5) (x + 5) Factorizations over finite fields GF(2) | (x + 1)^2

Factor 2x 2 3x 14

Factor 2x 2 3x 14

Input interpretation factor | 2×2 (3×14) Prime factorization 168 = 2^3×3×7 (5 prime factors, 3 distinct) Divisors 1 | 2 | 3 | 4 | 6 | 7 | 8 | 12 | 14 | 21 | 24 | 28 | 42 | 56 | 84 | 168 (16 divisors)

Factor 2x^2+3x-2

Factor 2x^2+3x-2

Input interpretation factor | 2 x^2 + 3 x – 2 Result (2 x – 1) (x + 2) Irreducible factorization (x + 2) (2 x – 1) Factorizations over finite fields GF(2) | x

Factor 25x^2-16

Factor 25x^2-16

Input interpretation factor | 25 x^2 – 16 Result (5 x – 4) (5 x + 4) Irreducible factorization (5 x – 4) (5 x + 4) Factorizations over finite fields GF(2) | x^2