Chapter 4.1, Problem 3C

To determine

To find factors of number 45

Answer to Problem 3C

1, 3, 5, 9, 15 and 45

Explanation of Solution

Given Information:

Number 45

Calculation: To find factors of a number ,find the LCM of the respective number by finding the divisors of it. The factors of 45 are the numbers which can divide the number 45 completely.

Since the Factors of 45 are all the numbers that you can evenly divide into 45, simply need to divide 45 by all numbers up to 45 to see which ones result in an even quotient.

  $\begin{array}{l}45÷1=45\\ 45÷3=15\\ 45÷5=9\\ 45÷9=5\\ 45÷15=3\\ 45÷45=1\end{array}$

The Positive Factors of 45 are therefore all the numbers used to divide (divisors) above to get an even number. Here is the list of all Positive Factors of 45 in numerical order:

1, 3, 5, 9, 15, and 45.