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Break any whole number (up to 60 digits) into prime factors, with exponents, the division steps, and all its divisors.
Also covers: Factor tree Β· Prime factors Β· Divisors calculator
Up to 60 digits. Large factors are found with Pollard's rho method.
Prime factorisation of 360
2Β³ Γ 3Β² Γ 5
= 2 Γ 2 Γ 2 Γ 3 Γ 3 Γ 5
Number of divisors
24
Sum of divisors
1,170
Distinct primes
3
Division method
All 24 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
From 2 up to 60 digits.
Written with exponents (360 = 2Β³ Γ 3Β² Γ 5), with the repeated-division steps, the number of divisors, and the full divisor list.
Writing a number as a product of primes. Every whole number above 1 has exactly one prime factorisation (the fundamental theorem of arithmetic).
Small factors by trial division, larger ones with Pollard's rho algorithm. Numbers made of two huge primes (like RSA keys) are deliberately too hard to factor.
Add 1 to each exponent and multiply: 360 = 2Β³ Γ 3Β² Γ 5ΒΉ has (3+1)(2+1)(1+1) = 24 divisors.
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