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Factors are whole numbers you can multiply to get the original number. To put it into perspective, Factors are like how Legos snap together to make bigger things. When you consider the Factors of 11, the only two numbers that fit together (with no leftover pieces) are 1 and 11 itself! Moreover, 11 is a Prime Number. Read on to learn more about the Factors of 11, their Sum, the Negative Factors, the Factor Pairs and Factors of 11 by Division Method.
What are the Factors of 11?
A Factor of a number divides evenly into that number with no remainder. In the case of 11, the only two numbers that meet this requirement are 1 and 11.
- 1 x 11 = 11
- 11 x 1 = 11
Therefore, since 11 only has two factors, it is a Prime number in mathematics.
Did you know? Prime numbers have exactly two factors: 1 and themselves.
What is the Sum of the Factors of 11?
Additionally, the Sum of the Factors of 11 is done by adding 1 and 11 together.
Thus, 1 + 11 = 12
Hence, the Sum of the Factors of 11 is 12.
Also Read: 7 Types of Fractions with Examples
What is the Factor Tree for 11?
A Factor tree visually represents how a particular number can be broken down into Prime factors. Moreover, since 11 is already a Prime number, its Factor tree would show 11 at the top and no further branching as usually done with other numbers that are not Prime numbers.
Also Read: Factors of 8: Negatives, Odd and Even, Pairs, Factor Tree and more!
What are the Factors of Negative 11?
The Factors of Negative numbers follow the same principle as positive numbers. Hence, any number that divides evenly into -11 will also be a factor.
Thus, the Factors of -11 are -1 and -11.
Also Read: Factors of 20: Factor Tree, Division Method, Prime Factorization
What are the Factors of 11 in Pairs?
When considering Factors in Pairs, you need to combine the positive and negative versions. In addition, the Factors of 11 in Pairs are:
- 1 and -1
- 11 and -11
Also Read: Factors of 24: Sum, Factor Tree, Division Method, Factor Pairs
Factors of 11 by Division Method
The Division method means dividing 11 by smaller and smaller numbers to see if they divide evenly.
- You can start by dividing 11 by 1. This is divided evenly (11 ÷ 1 = 11).
- Since 1 is a factor, you can try 2. However, 11 divided by 2 leaves a remainder of 1 (11 ÷ 2 = 5 R 1).
- You can continue this process with 3, 4, and so on. None of these numbers will divide into 11 with no remainder.
- Finally, you reach 11 itself. Dividing 11 by 11 gives you 1 with no remainder (11 ÷ 11 = 1).
Therefore, this confirms that the only factors you found previously (1 and 11) are indeed the only factors of 11 using the Division method.
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I hope this helps! Did you like learning about the Factors of 11? You also learn about the Factors of 1 to 25! Also, keep reading our blogs to learn more about the Basic Concepts of Maths!