Chapter 4.1, Problem 21E

To determine

To find factors of number 60

Answer to Problem 21E

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Explanation of Solution

Given Information: Number 60

To find factors of a number , find the LCM of the respective number by finding the divisors of it. The factors of 60 are the numbers which can divide the number 60 completely.

Calculation:

Since the Factors of 60 are all the numbers that can evenly divide into 60, simply need to divide 60 by all numbers up to 60 to see which ones result in an even quotient.

  $\begin{array}{l}60÷1=60\\ 60÷2=30\\ 60÷3=20\\ 60÷4=15\\ 60÷5=12\\ 60÷6=10\\ 60÷10=6\\ 60÷12=5\\ 60÷15=4\\ 60÷20=3\\ 60÷30=2\\ 60÷60=1\end{array}$

The Positive Factors of 60 are therefore all the numbers used to divide (divisors) above to get an even number. Here is the list of all Positive Factors of 60 in numerical order:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.