Prime factors of 9961

The prime factors are: 7, 1423
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 9961 divided by 7, 1423 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 9961?

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

\(9961\div \color{red}{7} = 1423\)
\(1423\div \color{red}{1423} = 1\)

Factorize\( (9961) = \) \(7\times 1423\)