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Prime Factorization Calculator

Up to three math tools are suggested automatically.

Enter any positive integer to see its prime factors, exponents, divisor count, and primality verdict instantly. The tool covers the full safe integer range (up to 2^53-1) for course work, number theory drills, or quick verification.

Looking for full division steps and a factor tree? Visit the prime factorization with steps calculator.

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Enter an integer

Type a value between 1 and 9,007,199,254,740,991 (inclusive).

Results

Prime factorization
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Status
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Total divisors
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Distinct primes
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Largest prime factor
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Processing time
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Prime factors and exponents
Prime Exponent

FAQ

What range of integers is supported?

Any integer between 1 and 9,007,199,254,740,991 (2^53-1), which is the safe integer range in JavaScript.

What happens if factorization takes too long?

Trial division stops after roughly 1.5 seconds. Partial factors are shown along with a warning so you can retry if needed.