What is the prime factorization of the number 54784?

Prime factors of 54784

The prime factors are: 2, 2, 2, 2, 2, 2, 2, 2, 2, 107
Prime Factor Decomposition or Prime Factorization is the process of finding which prime numbers can be multiplied together to make the original number. 54784 divided by 2, 2, 2, 2, 2, 2, 2, 2, 2, 107 gives no remainder. This means Prime number are numbers that can divide without remainder.

How to Calculate Prime Factorization of 54784?

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

\(54784\div \color{red}{2} = 27392\)
\(27392\div \color{red}{2} = 13696\)
\(13696\div \color{red}{2} = 6848\)
\(6848\div \color{red}{2} = 3424\)
\(3424\div \color{red}{2} = 1712\)
\(1712\div \color{red}{2} = 856\)
\(856\div \color{red}{2} = 428\)
\(428\div \color{red}{2} = 214\)
\(214\div \color{red}{2} = 107\)
\(107\div \color{red}{107} = 1\)

Factorize\( (54784) = \) \(2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 107\)

Factor Tree of 54784

	54784
2		27392
	2		13696
		2		6848
			2		3424
				2		1712
					2		856
						2		428
							2		214
								2		107

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

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