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Prime Factorization Calculator

Enter a positive integer to get its prime factorization in exponent form — plus the number of distinct prime factors, the count and sum of divisors, all factors, and full step-by-step working.

Every integer > 1 factors uniquely:  n = p₁e₁ × p₂e₂ × …
integer n = ?

Enter a whole number n ≥ 2 (up to 1,000,000,000,000). We trial-divide by 2, then by odd numbers up to √n.

Results

Prime factorization
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Is it prime?
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Distinct prime factors
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Number of divisors
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Sum of divisors
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All factors (divisors)
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Step-by-step (successive division)