ZovaTool

Factor Calculator

Result

τ(n) divisors
24
Prime?
No
Classification
Abundant
σ(n) sum of factors
1170
Aliquot sum (σ−n)
810
Prime factorization
2^3 × 3^2 × 5

All factors

1234568910121518202430364045607290120180360

Factor pairs

  • 1 × 360
  • 2 × 180
  • 3 × 120
  • 4 × 90
  • 5 × 72
  • 6 × 60
  • 8 × 45
  • 9 × 40
  • 10 × 36
  • 12 × 30
  • 15 × 24
  • 18 × 20

Step-by-step prime factorization

Step 1
360 ÷ 2 = 180
Step 2
180 ÷ 2 = 90
Step 3
90 ÷ 2 = 45
Step 4
45 ÷ 3 = 15
Step 5
15 ÷ 3 = 5
Step 6
5 is prime ⟹ stop

How to use the Factor Calculator

  1. Enter a positive integer.
  2. Calculator lists all divisors, factor pairs, and the prime factorisation.
  3. Number of factors, sum of factors and primality check shown.
Advertisement

Factors and prime factorisation

Every positive integer can be written uniquely as a product of prime powers — the Fundamental Theorem of Arithmetic. That factorisation is the DNA of the number: it determines its divisors, totient, and lots more.

A number is prime iff it has exactly 2 factors (1 and itself). This calculator flags primes automatically.