1. Steps to find factors of 26 using Division Method

Example: Find factors of 26

  • Divide 26 by 1: 26 ÷ 1 : Remainder = 0
  • Divide 26 by 2: 26 ÷ 2 : Remainder = 0
  • Divide 26 by 13: 26 ÷ 13 : Remainder = 0
  • Divide 26 by 26: 26 ÷ 26 : Remainder = 0

Hence, Factors of 26 are 1, 2, 13, and 26

2. Steps to find factors of 26 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 26 using the division method, follow these steps:

  • Step 1. Start dividing 26 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 26, which is 2. Divide 26 by 2 to obtain the quotient (13).
    26 ÷ 2 = 13
  • Step 3. Repeat step 1 with the obtained quotient (13).
    13 ÷ 13 = 1

So, the prime factorization of 26 is, 26 = 2 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 26 as shown below:

So, the prime factorization of 26 is, 26 = 2 x 13.

3. Find factors of 26 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 26 would be the two numbers which, when multiplied, give 26 as the result.

The following table represents the calculation of factors of 26 in pairs:

Factor Pair Pair Factorization
1 and 26 1 x 26 = 26
2 and 13 2 x 13 = 26

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 26. They are called negative pair factors.

Hence, the negative pairs of 26 would be ( -1 , -26 ) , ( -2 , -13 ) .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 26 is a factor of itself.
  • 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, 2, 13, 26 are exact divisors of 26.
  • 1 is a factor of every number. Eg. 1 is a factor of 26.
  • Every number is a factor of zero (0), since 26 x 0 = 0.

Frequently Asked Questions

  • What is prime factorization of 26?

    Prime factorization of 26 is 2 x 13.

  • How do you find factors of a negative number? ( eg. -26 )?

    Factors of -26 are -1, -2, -13, -26.

  • What are the prime factors of 26?

    The factors of 26 are 1, 2, 13, 26.
    Prime factors of 26 are 2, 13.

  • What are pair factors of 26?

    The pair factors of 26 are (1,26), (2,13).

  • What is the greatest prime factors of 26?

    The greatest prime factor of 26 is 13.

  • What are six multiples of 26?

    First five multiples of 26 are 52, 78, 104, 130, 156, 182.

  • What are factors of 26?

    Factors of 26 are 1, 2, 13, 26.

  • Which is the smallest prime factor of 26?

    Smallest prime factor of 26 is 2.

  • Is 26 a whole number?

    Yes 26 is a whole number.

Examples of Factors

Kevin has been asked to write 3 factor(s) of 26. Can you predict the answer?

3 factor(s) of 26 are 1, 2, 13.

Sammy is puzzled while calculating the prime factors of 26. Can you help him find them?

Factors of 26 are 1, 2, 13, 26.
Prime factors of 26 are 2, 13

What is prime factorization of 26?

Prime factorization of 26 is 2 x 13 = 2 x 13.

Ariel has been assigned the task to find the product of all the prime factors of 26. Can you help her?

Prime factors of 26 are 2, 13.
Hence, the product of prime factors of 26.

Can you help Rubel to find out the product of the even factors of 26?

Factors of 26 are 1, 2, 13, 26.
Even factors of 26 are 2, 26.
Hence, product of even factors of 26 is; 2 x 26 = 52.

Joy wants to calculate mean of all the factors of 26. Help him in finding the mean of 26.

Factors of 26 are 1, 2, 13, 26.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 26 is 1 + 2 + 13 + 26 = 42.
Hence, the mean of factors of 26 is 42 ÷ 4 = 10.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 26? Help her in writing all the factors.

Positive factors are 1, 2, 13, 26.
Negative factors are -1, -2, -13, -26.