# Factors of 107

Factors of 107 are 1 and 107

#### How to find factors of a number

 1.   Find factors of 107 using Division Method 2.   Find factors of 107 using Prime Factorization 3.   Find factors of 107 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 107

• Divide 107 by 1: 107 ÷ 1 : Remainder = 0
• Divide 107 by 107: 107 ÷ 107 : Remainder = 0

Hence, Factors of 107 are 1 and 107

#### 2. Steps to find factors of 107 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 107 using the division method, follow these steps:

• Step 1. Start dividing 107 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 107, which is 107. Divide 107 by 107 to obtain the quotient (1).
107 ÷ 107 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 107 is, 107 = 107.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 107 as shown below:

So, the prime factorization of 107 is, 107 = 107.

#### 3. Find factors of 107 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 107 would be the two numbers which, when multiplied, give 107 as the result.

The following table represents the calculation of factors of 107 in pairs:

Factor Pair Pair Factorization
1 and 107 1 x 107 = 107

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 107. They are called negative pair factors.

Hence, the negative pairs of 107 would be ( -1 , -107 ) , .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 107 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, 107 are exact divisors of 107.
• Factors of 107 are 1, 107. Each factor divides 107 without leaving a remainder.

• What is prime factorization of 107?

Prime factorization of 107 is 107.

• How do you find factors of a negative number? ( eg. -107 )?

Factors of -107 are -1, -107.

• What are the prime factors of 107?

The factors of 107 are 1, 107.
Prime factors of 107 are 107.

• What are pair factors of 107?

The pair factors of 107 are (1,107).

• What is the greatest prime factors of 107?

The greatest prime factor of 107 is 107.

• What are six multiples of 107?

First five multiples of 107 are 214, 321, 428, 535, 642, 749.

• What are factors of 107?

Factors of 107 are 1, 107.

• Which is the smallest prime factor of 107?

Smallest prime factor of 107 is 107.

• Is 107 a whole number?

Yes 107 is a whole number.

#### Examples of Factors

Kevin has been asked to write 1 factor(s) of 107. Can you predict the answer?

1 factor(s) of 107 is 1.

Sammy is puzzled while calculating the prime factors of 107. Can you help him find them?

Factors of 107 are 1, 107.
Prime factors of 107 are 107

What is prime factorization of 107?

Prime factorization of 107 is 107 = 107.

Ariel has been assigned the task to find the product of all the prime factors of 107. Can you help her?

Prime factors of 107 are 107.
Hence, the product of prime factors of 107.

Can you help Rubel to find out the product of the even factors of 107?

Factors of 107 are 1, 107.
Even factors of 107 are 0.
Hence, product of even factors of 107 is; 0 = 0.

Joy wants to calculate mean of all the factors of 107. Help him in finding the mean of 107.

Factors of 107 are 1, 107.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 107 is 1 + 107 = 108.
Hence, the mean of factors of 107 is 108 ÷ 2 = 54.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 107? Help her in writing all the factors.

Positive factors are 1, 107.
Negative factors are -1, -107.