Prime factors of 20035

The prime factors are: 5, 4007
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 20035 divided by 5, 4007 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 20035?

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

\(20035\div \color{red}{5} = 4007\)
\(4007\div \color{red}{4007} = 1\)

Factorize\( (20035) = \) \(5\times 4007\)