Factors of 13

2. Steps to find factors of 13 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 13 using the division method, follow these steps:

• Step 1. Start dividing 13 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 13, which is 13. Divide 13 by 13 to obtain the quotient (1).
  13 ÷ 13 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 13 is, 13 = 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 13 as shown below:

So, the prime factorization of 13 is, 13 = 13.

3. Find factors of 13 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 13 would be the two numbers which, when multiplied, give 13 as the result.

The following table represents the calculation of factors of 13 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 13. They are called negative pair factors.

Hence, the negative pairs of 13 would be ( -1 , -13 ) , .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 13 are exact divisors of 13.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 13 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 13.

Frequently Asked Questions

• Is 13 a perfect square?

  No 13 is not a perfect square.

• What are factors of 13?

  Factors of 13 are 1, 13.

• Which is greatest factor of 13?

  The greatest factor of 13 is 1.

• What is the sum of all factors of 13?

  The sum of all factors of 13 is 14.

• What are multiples of 13?

  First five multiples of 13 are 26, 39, 52, 65.

• What is the greatest prime factors of 13?

  The greatest prime factor of 13 is 13.

• What are six multiples of 13?

  First five multiples of 13 are 26, 39, 52, 65, 78, 91.

• What is prime factorization of 13?

  Prime factorization of 13 is 13.

• Is 13 a whole number?

  Yes 13 is a whole number.

Examples of Factors