Factors of 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:

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.

Frequently Asked Questions

• 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