Prime factors of 21533

The prime factors are: 61, 353
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 21533 divided by 61, 353 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 21533?

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

\(21533\div \color{red}{61} = 353\)
\(353\div \color{red}{353} = 1\)

Factorize\( (21533) = \) \(61\times 353\)

Factor Tree of 21533

21533
61353
If you want to learn more about prime factorization, take a look at the Wikipedia page.
Prime factors of: