Chapter 4.1, Problem 2C

To determine

To find factors of number 31

Answer to Problem 2C

1 and 31

Explanation of Solution

Given Information:

Number 31

Calculation: To find factors of a number , find the LCM of the respective number by finding the divisors of it. The factors of 31 are the numbers which can divide the number 31 completely.

Since the Factors of 31 are all the numbers that you can evenly divide into 31, simply need to divide 31 by all numbers up to 31 to see which ones result in an even quotient. On reviewing, these calculations resulted in an even quotient:

  $\begin{array}{l}31÷1=31\\ 31÷31=1\end{array}$

The Positive Factors of 31 are therefore all the numbers used to divide (divisors) above to get an even number. Here is the list of all Positive Factors of 31 in numerical order:

1 and 31.