# Factors of 19

Factors of 19 are 1 and 19

#### How to find factors of a number

 1.   Find factors of 19 using Division Method 2.   Find factors of 19 using Prime Factorization 3.   Find factors of 19 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 19

• Divide 19 by 1: 19 ÷ 1 : Remainder = 0
• Divide 19 by 19: 19 ÷ 19 : Remainder = 0

Hence, Factors of 19 are 1 and 19

#### 2. Steps to find factors of 19 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 19 using the division method, follow these steps:

• Step 1. Start dividing 19 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 19, which is 19. Divide 19 by 19 to obtain the quotient (1).
19 ÷ 19 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 19 is, 19 = 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 19 as shown below:

So, the prime factorization of 19 is, 19 = 19.

#### 3. Find factors of 19 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 19 would be the two numbers which, when multiplied, give 19 as the result.

The following table represents the calculation of factors of 19 in pairs:

Factor Pair Pair Factorization
1 and 19 1 x 19 = 19

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 19. They are called negative pair factors.

Hence, the negative pairs of 19 would be ( -1 , -19 ) , .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every number is a factor of zero (0), since 19 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 19 are exact divisors of 19.
• Factors of 19 are 1, 19. Each factor divides 19 without leaving a remainder.

• What are the prime factors of 19?

The factors of 19 are 1, 19.
Prime factors of 19 are 19.

• What is the sum of all factors of 19?

The sum of all factors of 19 is 20.

• What are the pair factors of 19?

Pair factors of 19 are (1,19).

• What two numbers make 19?

Two numbers that make 19 are 19 and 1.

• What are multiples of 19?

First five multiples of 19 are 38, 57, 76, 95.

• Is 19 a perfect square?

No 19 is not a perfect square.

• Which is greatest factor of 19?

The greatest factor of 19 is 1.

• How do you factors of 19?

Factors of 19 are 1, 19.

• What are five multiples of 19?

First five multiples of 19 are 38, 57, 76, 95, 114.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 19?

Factors of 19 are 1, 19.
Even factors of 19 are 0.
Hence, product of even factors of 19 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 19? Help her in writing all the factors.

Positive factors are 1, 19.
Negative factors are -1, -19.

How many factors are there for 19?

Factors of 19 are 1, 19.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 19. Can you help him find them?

Factors of 19 are 1, 19.
Prime factors of 19 are 19

Joey wants to write all the prime factors of 19 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 19 are 19.
So in exponential form it can be written as 19.

What is prime factorization of 19?

Prime factorization of 19 is 19 = 19.

Can you help Rubel to find out the product of the even factors of 19?

Factors of 19 are 1, 19.
Even factors of 19 are 0.
Hence, product of even factors of 19 is; 0 = 0.