# Factors of 676 in pair

Factors of 676 in pair are (1, 676) , (2, 338) , (4, 169) , (13, 52) and (26, 26)

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

 1.   Steps to find factors of 676 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 676 in pair

Factor Pair Pair Factorization
1 and 676 1 x 676 = 676
2 and 338 2 x 338 = 676
4 and 169 4 x 169 = 676
13 and 52 13 x 52 = 676
26 and 26 26 x 26 = 676

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 676. They are called negative pair factors.

Hence, the negative pairs of 676 would be ( -1 , -676 ) .

#### 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 676 are 1 , 2 , 4 , 13 , 26 , 52 , 169 , 338 , 676. So, factors of 676 in pair are (1,676), (2,338), (4,169), (13,52), (26,26).

#### 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. 676 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 676.
• Every number is a factor of zero (0), since 676 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, 2, 4, 13, 26, 52, 169, 338, 676 are exact divisors of 676.
• Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. Each factor divides 676 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 13, 26, 52, 169, 338, 676 are all less than or equal to 676.

#### Steps to find Factors of 676

• Step 1. Find all the numbers that would divide 676 without leaving any remainder. Starting with the number 1 upto 338 (half of 676). The number 1 and the number itself are always factors of the given number.
676 ÷ 1 : Remainder = 0
676 ÷ 2 : Remainder = 0
676 ÷ 4 : Remainder = 0
676 ÷ 13 : Remainder = 0
676 ÷ 26 : Remainder = 0
676 ÷ 52 : Remainder = 0
676 ÷ 169 : Remainder = 0
676 ÷ 338 : Remainder = 0
676 ÷ 676 : Remainder = 0

Hence, Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, and 676

• Is 676 a composite number?

Yes 676 is a composite number.

• Is 676 a prime number?

No 676 is not a prime number.

• Write five multiples of 676.

Five multiples of 676 are 1352, 2028, 2704, 3380, 4056.

• Write all odd factors of 676?

The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676.
Odd factors of 676 are 1 , 13 , 169.

• What is the mean of all prime factors of 676?

Factors of 676 are 1 , 2 , 4 , 13 , 26 , 52 , 169 , 338 , 676. Prime factors of 676 are 2 , 2 , 13 , 13. Therefore mean of prime factors of 676 is (2 + 2 + 13 + 13) / 4 = 7.50.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 676.
- Writing all prime factors of 676.
- Writing all the possible factors of 676 in pair.
Help him in writing all these.

Positive factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676.
Prime factors of 676 are 2, 2, 13, 13.
Factors of 676 in pair are (1,676), (2,338), (4,169), (13,52), (26,26).

What are the pair factors of 676?

Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. Hence, the factors of 676 in pair are (1,676), (2,338), (4,169), (13,52), (26,26).

Can you help Sammy list the factors of 676 and also find the factor pairs?

Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676.
Factors of 676 in pair are (1,676), (2,338), (4,169), (13,52), (26,26).

The area of a rectangle is 676 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 676 in pair. So, the possible combinations (1,676), (2,338), (4,169), (13,52), (26,26).

Help Diji in finding factors of 676 by Prime Factorization method and then sorting factors of 676 in pairs.

Prime factorization of 676 is 2 x 2 x 13 x 13. Factors of 676 in pair can be written as (1,676), (2,338), (4,169), (13,52), (26,26).

Write the smallest prime factor of 676.

Smallest prime factor of 676 is 2.

Write the largest prime factor of 676.

Largest prime factor of 676 is 13.

Diji wants to write all the negative factors of 676. Can you help Diji in doing the same?

Negative factors of 676 are -1, -2, -4, -13, -26, -52, -169, -338, -676.