Question

Find the prime factorization of each numbera. 663b. 442

Answer 1

Solution:

Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.

Given:

Using a tree diagram;

$\begin{gathered} 663=3\times221=3\times(13\times17) \\ 663=3\times13\times17 \end{gathered}$

Hence, 663 = 3 x 13 x 17

Using a tree diagram;

$\begin{gathered} 442=2\times221=2\times(13\times17) \\ 442=2\times13\times17 \end{gathered}$

Hence, 442 = 2 x 13 x 17