Question

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

Answer 1

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*221=3*(13*17) \\ 663=3*13*17 \end{gathered}`

Hence, 663 = 3 x 13 x 17

Using a tree diagram;

`\begin{gathered} 442=2*221=2*(13*17) \\ 442=2*13*17 \end{gathered}`

Hence, 442 = 2 x 13 x 17