# Factors of 109

Factors of 109 are 1 and 109

#### How to find factors of a number

 1.   Find factors of 109 using Division Method 2.   Find factors of 109 using Prime Factorization 3.   Find factors of 109 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 109

• Divide 109 by 1: 109 ÷ 1 : Remainder = 0
• Divide 109 by 109: 109 ÷ 109 : Remainder = 0

Hence, Factors of 109 are 1 and 109

#### 2. Steps to find factors of 109 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 109 using the division method, follow these steps:

• Step 1. Start dividing 109 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 109, which is 109. Divide 109 by 109 to obtain the quotient (1).
109 ÷ 109 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 109 is, 109 = 109.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 109 as shown below:

So, the prime factorization of 109 is, 109 = 109.

#### 3. Find factors of 109 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 109 would be the two numbers which, when multiplied, give 109 as the result.

The following table represents the calculation of factors of 109 in pairs:

Factor Pair Pair Factorization
1 and 109 1 x 109 = 109

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 109. They are called negative pair factors.

Hence, the negative pairs of 109 would be ( -1 , -109 ) , .

#### 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 factor of a number is an exact divisor of that number, example 1, 109 are exact divisors of 109.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 109 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 109.

• What are the prime factors of 109?

The factors of 109 are 1, 109.
Prime factors of 109 are 109.

• What is the sum of all factors of 109?

The sum of all factors of 109 is 110.

• What are the pair factors of 109?

Pair factors of 109 are (1,109).

• What two numbers make 109?

Two numbers that make 109 are 109 and 1.

• What are multiples of 109?

First five multiples of 109 are 218, 327, 436, 545.

• Is 109 a perfect square?

No 109 is not a perfect square.

• Which is greatest factor of 109?

The greatest factor of 109 is 1.

• How do you factors of 109?

Factors of 109 are 1, 109.

• What are five multiples of 109?

First five multiples of 109 are 218, 327, 436, 545, 654.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 109?

Factors of 109 are 1, 109.
Even factors of 109 are 0.
Hence, product of even factors of 109 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 109? Help her in writing all the factors.

Positive factors are 1, 109.
Negative factors are -1, -109.

How many factors are there for 109?

Factors of 109 are 1, 109.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 109. Can you help him find them?

Factors of 109 are 1, 109.
Prime factors of 109 are 109

Joey wants to write all the prime factors of 109 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 109 are 109.
So in exponential form it can be written as 109.

What is prime factorization of 109?

Prime factorization of 109 is 109 = 109.

Can you help Rubel to find out the product of the even factors of 109?

Factors of 109 are 1, 109.
Even factors of 109 are 0.
Hence, product of even factors of 109 is; 0 = 0.