Prime factors of 20365

The prime factors are: 5, 4073
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 20365 divided by 5, 4073 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 20365?

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

\(20365\div \color{red}{5} = 4073\)
\(4073\div \color{red}{4073} = 1\)

Factorize\( (20365) = \) \(5\times 4073\)

Factor Tree of 20365

20365
54073
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: