What is the prime factorization of the number 20224?

Prime factors of 20224

The prime factors are: 2, 2, 2, 2, 2, 2, 2, 2, 79
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 20224 divided by 2, 2, 2, 2, 2, 2, 2, 2, 79 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 20224?

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

\(20224\div \color{red}{2} = 10112\)
\(10112\div \color{red}{2} = 5056\)
\(5056\div \color{red}{2} = 2528\)
\(2528\div \color{red}{2} = 1264\)
\(1264\div \color{red}{2} = 632\)
\(632\div \color{red}{2} = 316\)
\(316\div \color{red}{2} = 158\)
\(158\div \color{red}{2} = 79\)
\(79\div \color{red}{79} = 1\)

Factorize\( (20224) = \) \(2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 79\)

Factor Tree of 20224

	20224
2		10112
	2		5056
		2		2528
			2		1264
				2		632
					2		316
						2		158
							2		79

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

Prime factors of:

Related Prime Factors