Factors of 19: Factor Pairs, Division Method and More! 

The Factors of 19 signify the divisibility of the number 19 with a number lower than 19 without leaving any remainder. Furthermore, these factors come into use when simplifying and solving equations in mathematics. Additionally, in this blog, you will learn the Factors of 19, their Sum, the Factor Pairs, the Division method, and Negative Factors. 

What are the Factors of 19?

Factors of a number are those numbers that divide evenly into it without leaving any remainder. When it comes to 19, things get interesting. As 19 is a Prime number, it has a unique characteristic regarding factors.

When you look at the definition of a Prime number, it has exactly two factors which are 1 and itself. 

Hence, the Factors of 19 are 1 and 19.

Also Read: Factors of 15, Division Method, Factor Pairs and more!

What is the Sum of Factors of 19?

The Sum of factors of a number is done by adding all its factors together. When we take a look at 19, it is a Prime number. And since Prime numbers have exactly two factors which are 1 and itself (19). 

Hence, the Sum of Factors of 19 is 1 + 19 = 20.

Also Read: Factors of 17: Factor Pairs, Factor Tree

What are the Factors of Negative 19?

Factors come in Positive and Negative pairs. Since 1 and 19 are divided into 19, their Negatives, -1 and -19, will also be Factors of -19. 

Therefore, the Factors of -19 are -19 and -1.

Also Read: Factors of 21: Logic, Sum, Negative Factors, Factor Pairs and more!

What are the Factor Pairs of 19?

Factor Pairs are two factors that multiply to give the original number. For 19, the Factor Pairs are 

• (1, 19)
• (-1, -19). 

Note: Every factor has a corresponding Negative Factor that balances the equation.

Also Read: 7 Types of Fractions with Examples

Use Division to find the Factors of 19

The Division method identifies the factors of a number. Moreover, here is how it works with 19:

• Every number is divisible by 1, so 1 is always a factor.

• Next, try dividing 19 by increasing whole numbers (2, 3, 4, etc.).

• If the division results in a whole number with no remainder, that number is a Factor of 19.

• Thereafter, keep dividing until you reach a point where the division does not result in a whole number (a remainder appears).

Since only 1 and 19 divide into 19 with no remainder, these are the only Positive factors of 19 using the Division method. 

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I hope this helps! Did you like learning about the Factors of 19? You also learn about the Factors of 1 to 25! Also, keep reading our blogs to learn more about the Basic Concepts of Maths!