# Factors of 26 in pair

Factors of 26 in pair are (1, 26) , (2, 13)

#### How to find factors of a number in pair

 1.   Steps to find factors of 26 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 26 in pair

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 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 26 are 1 , 2 , 13 , 26. So, factors of 26 in pair are (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.

#### Steps to find Factors of 26

• Step 1. Find all the numbers that would divide 26 without leaving any remainder. Starting with the number 1 upto 13 (half of 26). The number 1 and the number itself are always factors of the given number.
26 ÷ 1 : Remainder = 0
26 ÷ 2 : Remainder = 0
26 ÷ 13 : Remainder = 0
26 ÷ 26 : Remainder = 0

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

• Is 26 a composite number?

Yes 26 is a composite number.

• Is 26 a prime number?

No 26 is not a prime number.

• Is 26 a perfect square?

No 26 is not a perfect square.

• Write five multiples of 26.

Five multiples of 26 are 52, 78, 104, 130, 156.

• Write all odd factors of 26?

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

#### Examples of Factors

Ariel has been asked to write all factor pairs of 26 but she is finding it difficult. Can you help her find out?

Factors of 26 are 1, 2, 13, 26. So, factors of 26 in pair are (1,26), (2,13).

Sammy wants to write all the negative factors of 26 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 26 are -1, -2, -13, -26. Hence, factors of 26 in pair are (-1,-26), (-2,-13).

Help Deep in writing the positive factors of 26 in pair and negative factor of 26 in pair.

Factors of 26 are 1, 2, 13, 26. Positive factors of 26 in pair are (1,26), (2,13). Negative factors of 26 in pair are (-1,-26), (-2,-13).

Find the product of all prime factors of 26.

Factors of 26 are 1, 2, 13, 26. Prime factors are 2, 13. So, the product of all prime factors of 26 would be 2 x 13 = 26.

Can you help Sammy list the factors of 26 and also find the factor pairs?

Factors of 26 are 1, 2, 13, 26.
Factors of 26 in pair are (1,26), (2,13).

Help Diji in finding factors of 26 by Prime Factorization method and then sorting factors of 26 in pairs.

Prime factorization of 26 is 2 x 13. Factors of 26 in pair can be written as (1,26), (2,13).

Write the smallest prime factor of 26.

Smallest prime factor of 26 is 2.

Write the largest prime factor of 26.

Largest prime factor of 26 is 13.