# Factors of 19

Factors of 19 are the numbers that divide the original number 19 entirely without leaving the remainder. These numbers can be positive or negative but cannot be in decimal or fraction form. The factors of 19 are 1 and 19, where 19 is the prime number. Kids must learn to recognize and memorize the factors of 19 to solve math problems quickly. Learning factors of a number enable children to understand mathematical concepts effectively.

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Kids must learn multiplication tables thoroughly to solve division and multiplication related problems. Besides finding the factors of 19, you need to teach them the pair and prime factors of 19 using simple methods. The pair factors of 19 are (1, 19), and the prime factors of 19 are 19. Little ones might find it challenging to remember the factors of a number. In such cases, you can conduct math games for kids to help them memorize the factors of 19.

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## What are the Factors of 19?

Factors of 19 are the numbers obtained when you divide the original number 19 evenly without leaving the remainder. Though the number 19 is composite, there are no factors other than one and the number itself. Factors of 19 are 1 and 19. Besides this, kids must get acquainted and learn the difference between pair and prime factors of 19. The pairs of factors of 19 can be positive or negative numbers. The positive pair factors of 19 are (1, 19), and the negative pair factors of 19 are (-1, -19). The prime factors of 19 are 19. The total sum of factors of 19 are 1 + 19 = 20.

## How to Find the Factors of 19?

To calculate the factors of 19, you need to divide the original number with the integers with zero remainders. Kids must get acquainted with tables 11 to 20 to solve the math problems accurately. Check out the division method to find the factors of 19 as given below.

19/1 = 19

19/19 = 1

Therefore, factors of 19 are 1 and 19.

### Pair Factors of 19

The pair factors of 19 are the numbers obtained when you multiply the integers in pairs to get the original number as the product. These numbers can be positive or negative. Check out the multiplication method to find the pair factors of 19 as given below.

1 x 19 = 19

19 x 1 = 19

Therefore, the positive pair factors of 19 are (1, 19). Using a similar method, you can find the negative pair factors of 19 as given below.

-1 x -19 = 19

-19 x -1 = 19

Therefore, the negative pair factors of 19 are (-1, -19).

### Prime Factors of 19

To find the prime factors of 19, you must divide the original number with the prime numbers until you get the quotient one. In this case, the prime factors of 19 are 19 as the original number is not divisible by any other prime numbers.

## Solved Examples on Factors of 19

Some solved examples of factors of 19 are mentioned below.

Example 1: Find the common factors of 19 and 13.

Solution: Factors of 19 = 1 and 19

Factors of 13 = 1 and 13

Therefore, the common factors of 19 and 13 are 1.

Example 2: A boy purchased 19 pencil boxes from the stationery store. He gave all the pencil boxes to 19 school children. How many pencil boxes did each of them receive?

Solution: Number of pencil boxes = 19

Number of school children = 19

Total number of pencil boxes received by each child = 19/19 = 1

Therefore, the total number of pencil boxes received by each child is 1.

We hope this article on factors of 19 was useful to you. For more about activities, worksheets and games, explore worksheets for kids, math for kidspuzzles for kids, kids learning sections at Osmo.

## Frequently Asked Questions on Factors of 19

### What are the factors of 19?

The factors of 19 are 1 and 19.

### What are the pair factors of 19?

The pair factors of 19 are (1, 19), whereas the negative pair factors of 19 are (-1, -19).

### What are the prime factors of 19?

The prime factors of 19 are 19.