Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without remainder. Understanding factors is essential in mathematics and everyday situations, such as dividing tasks or resources equally. In this topic, we will explore the factors of -11, their significance, and tips to learn them quickly.
The numbers that divide -11 evenly are known as factors of -11.
A factor of -11 is a number that divides the number without leaving a remainder.
The factors of -11 are 1, -1, 11, and -11.
Prime factors of 11: 11.
Since -11 is a negative number, its factors include both positive and negative pairs: (-1, 11) and (1, -11).
The sum of factors of -11: 1 + (-1) + 11 + (-11) = 0
Factors can be determined using different methods:
To find factors using multiplication, identify pairs of numbers that multiply to give -11.
Step 1: Consider the number -11 and its multiplicative pairs.
Step 2: Check for pairs that multiply to -11:
-1 × 11 = -11
1 × (-11) = -11
Therefore, the factor pairs of -11 are: (-1, 11) and (1, -11). These pairs result in -11.
Divide -11 by whole numbers until the remainder becomes zero to find its factors.
Step 1: Divide -11 by 1, -11 ÷ 1 = -11.
Step 2: Check other divisions:
-11 ÷ (-1) = 11
-11 ÷ 11 = -1
-11 ÷ (-11) = 1
Therefore, the factors of -11 are: 1, -1, 11, and -11.
The prime factor of -11 is 11, as it is the only prime number that divides -11 evenly.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
For -11, the factor pairs are: (-1, 11) and (1, -11).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
If there are -11 apples and you want to split them into equal groups of 1 apple each, how many groups will you have?
You will have -11 groups.
By dividing -11 apples into groups of 1, each group will contain one apple.
-11 ÷ 1 = -11
If -11 degrees represent a drop in temperature, and each degree is represented by a 1-degree change, how many 1-degree changes are there?
There are -11 one-degree changes.
The degree change is represented by -11 ÷ 1 = -11.
If you owe 11 people 1 dollar each, how much debt do you have in total?
You have a total debt of -11 dollars.
Owing 1 dollar to each of 11 people results in a total of -11 dollars.
1 × (-11) = -11
There are 11 boxes, each containing -1 item. How many items are there in total?
There are -11 items in total.
Multiplying the number of boxes by the number of items per box gives the total:
11 × (-1) = -11
If each of -1 baskets contains 11 apples, how many apples are there in total?
There are -11 apples in total.
Multiplying the number of baskets by the apples per basket equals:
-1 × 11 = -11
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.