Factor It 4

Algebra Level 2

True or False?

If $p$ is a prime number, then the smallest positive integer $n$ such that $x^n-1$ factors into $p$ distinct irreducible factors is $n = 2^{p-1}$ (irreducible over the rationals).

Bonus: Provide proof.

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Factor It 4

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.