Prime factors of 31821

The prime factors are: 3, 10607
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 31821 divided by 3, 10607 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 31821?

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 \( (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, ...) \).

\(31821\div \color{red}{3} = 10607\)
\(10607\div \color{red}{10607} = 1\)

Factorize\( (31821) = \) \(3\times 10607\)