Prime factors of 1582

The prime factors are: 2, 7, 113
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 1582 divided by 2, 7, 113 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 1582?

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

\(1582\div \color{red}{2} = 791\)
\(791\div \color{red}{7} = 113\)
\(113\div \color{red}{113} = 1\)

Factorize\( (1582) = \) \(2\times 7\times 113\)