<Dd> 360 = 2 × 2 × 2 × 3 × 3 × 5 = 2 3 × 3 2 × 5, (\ displaystyle 360 = 2 \ times 2 \ times 2 \ times 3 \ times 3 \ times 5 = 2 ^ (3) \ times 3 ^ (2) \ times 5,) </Dd> <P> in which the factors 2, 3 and 5 have multiplicities of 3, 2 and 1, respectively . </P> <P> For a prime factor p of n, the multiplicity of p is the largest exponent a for which p divides n exactly . </P> <P> For a positive integer n, the number of prime factors of n and the sum of the prime factors of n (not counting multiplicity) are examples of arithmetic functions of n that are additive but not completely additive . </P>

This is called the prime factorization of a number