Chapter 5, Problem 1RE

For Exercises 1–4, find all factors of each.

1. 60

To determine

All the factors of the number 60.

Answer to Problem 1RE

Solution:

All the factors of the number 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

Explanation of Solution

Given data:

60.

Explanation:

A number is said to be factor of another number if the number which when divided with the other number gives reaminder 0.

Write the number 60 as follows.

$\begin{array}{c}60=1\times 60\\ =2\times 30\\ =3\times 20\\ =4\times 15\end{array}$

$\begin{array}{c}60=5\times 12\\ =6\times 10\end{array}$

Write all multiplicants in ascending order.

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

Check if any number is repeated and omit the repeated number.

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

Therefore, the factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.