Chapter SH, Problem 9.2.20EP

To determine

The prime factorization of number and use exponents for the repeated factors.

  $210$

Answer to Problem 9.2.20EP

The prime factorization of $210$ is $2\cdot 3\cdot 5\cdot 7$

Explanation of Solution

Given:

Number: $210$

Prime factorization is nothing but the procedure where a number can expressed as the product of prime numbers.

The number can write as,

  $\begin{array}{l}210\\ 2\cdot 105\\ 3\cdot 35\\ 5\cdot 7\end{array}$

That is

  $210=2\cdot 3\cdot 5\cdot 7$

Conclusion:

Hence,the prime factorization of $210$ is $2\cdot 3\cdot 5\cdot 7$ .