Question

square root of 511225 by prime factorization​

Answer 1

Answer:

511225 factorization is: 5 * 5 * 11 * 11 * 13 * 13

Answer 2

$\sf{\underline{Prime\:factorization:}}$

$\bullet$ If a number is expressed as a product of its factors, all of which are prime numbers.

$\bullet$ Then such factorization is known as prime factorization.

$\sf{\underline{Prime\:factorization\:of\:511225:}}$

$\begin{array}{r | l} 5 & 511225 \\ \cline{2-2} 5 & 102245 \\ \cline{2-2} 11 & 20449 \\ \cline{2-2} 11 & 1859 \\ \cline{2-2} 13 & 169 \\ \cline{2-2} 13 & 13 \\ \cline{2-2} & 1\end{array}$

$\sf{\underline{Therefore:}}$

$\boxed{\sf{511225=5 \times 5 \times 11 \times 11 \times 13 \times 13}}$

$\sf{\underline{Hence:}}$

The square root of 511225 is 715.