What is the prime factorization of the number 23104?

Prime factors of 23104

The prime factors are: 2, 2, 2, 2, 2, 2, 19, 19
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 23104 divided by 2, 2, 2, 2, 2, 2, 19, 19 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 23104?

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

\(23104\div \color{red}{2} = 11552\)
\(11552\div \color{red}{2} = 5776\)
\(5776\div \color{red}{2} = 2888\)
\(2888\div \color{red}{2} = 1444\)
\(1444\div \color{red}{2} = 722\)
\(722\div \color{red}{2} = 361\)
\(361\div \color{red}{19} = 19\)
\(19\div \color{red}{19} = 1\)

Factorize\( (23104) = \) \(2\times 2\times 2\times 2\times 2\times 2\times 19\times 19\)

Factor Tree of 23104

	23104
2		11552
	2		5776
		2		2888
			2		1444
				2		722
					2		361
						19		19

If you want to learn more about prime factorization, take a look at the Wikipedia page.

Prime factors of:

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