# Factors of 68 in pair

Factors of 68 in pair are (1, 68) , (2, 34) and (4, 17)

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

 1.   Steps to find factors of 68 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 68 in pair

Factor Pair Pair Factorization
1 and 68 1 x 68 = 68
2 and 34 2 x 34 = 68
4 and 17 4 x 17 = 68

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 68. They are called negative pair factors.

Hence, the negative pairs of 68 would be ( -1 , -68 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 68 are 1 , 2 , 4 , 17 , 34 , 68. So, factors of 68 in pair are (1,68), (2,34), (4,17).

#### 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

• Each number is a factor of itself. Eg. 68 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 68.
• Every number is a factor of zero (0), since 68 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, 17, 34, 68 are exact divisors of 68.
• Factors of 68 are 1, 2, 4, 17, 34, 68. Each factor divides 68 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 17, 34, 68 are all less than or equal to 68.

#### Steps to find Factors of 68

• Step 1. Find all the numbers that would divide 68 without leaving any remainder. Starting with the number 1 upto 34 (half of 68). The number 1 and the number itself are always factors of the given number.
68 ÷ 1 : Remainder = 0
68 ÷ 2 : Remainder = 0
68 ÷ 4 : Remainder = 0
68 ÷ 17 : Remainder = 0
68 ÷ 34 : Remainder = 0
68 ÷ 68 : Remainder = 0

Hence, Factors of 68 are 1, 2, 4, 17, 34, and 68

• Is 68 a composite number?

Yes 68 is a composite number.

• Is 68 a prime number?

No 68 is not a prime number.

• Is 68 a perfect square?

No 68 is not a perfect square.

• Write five multiples of 68.

Five multiples of 68 are 136, 204, 272, 340, 408.

• Write all odd factors of 68?

The factors of 68 are 1, 2, 4, 17, 34, 68.
Odd factors of 68 are 1 , 17.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 68.
- Writing all prime factors of 68.
- Writing all the possible factors of 68 in pair.
Help him in writing all these.

Positive factors of 68 are 1, 2, 4, 17, 34, 68.
Prime factors of 68 are 2, 2, 17.
Factors of 68 in pair are (1,68), (2,34), (4,17).

What are the pair factors of 68?

Factors of 68 are 1, 2, 4, 17, 34, 68. Hence, the factors of 68 in pair are (1,68), (2,34), (4,17).

Can you help Sammy list the factors of 68 and also find the factor pairs?

Factors of 68 are 1, 2, 4, 17, 34, 68.
Factors of 68 in pair are (1,68), (2,34), (4,17).

The area of a rectangle is 68 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 68 in pair. So, the possible combinations (1,68), (2,34), (4,17).

Help Diji in finding factors of 68 by Prime Factorization method and then sorting factors of 68 in pairs.

Prime factorization of 68 is 2 x 2 x 17. Factors of 68 in pair can be written as (1,68), (2,34), (4,17).

Write the smallest prime factor of 68.

Smallest prime factor of 68 is 2.

Write the largest prime factor of 68.

Largest prime factor of 68 is 17.

Diji wants to write all the negative factors of 68. Can you help Diji in doing the same?

Negative factors of 68 are -1, -2, -4, -17, -34, -68.