Prime factors of 30963

The prime factors are: 3, 10321
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 30963 divided by 3, 10321 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 30963?

The main method of prime factorization is start dividing the number by the any divisible prime numbers until the only numbers left are prime numbers \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).

\(30963\div \color{red}{3} = 10321\)
\(10321\div \color{red}{10321} = 1\)

Factorize\( (30963) = \) \(3\times 10321\)