# Factors of 340 in pair

Factors of 340 in pair are (1, 340) , (2, 170) , (4, 85) , (5, 68) , (10, 34) and (17, 20)

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

 1.   Steps to find factors of 340 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 340 in pair

Factor Pair Pair Factorization
1 and 340 1 x 340 = 340
2 and 170 2 x 170 = 340
4 and 85 4 x 85 = 340
5 and 68 5 x 68 = 340
10 and 34 10 x 34 = 340
17 and 20 17 x 20 = 340

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 340. They are called negative pair factors.

Hence, the negative pairs of 340 would be ( -1 , -340 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 340 are 1 , 2 , 4 , 5 , 10 , 17 , 20 , 34 , 68 , 85 , 170 , 340. So, factors of 340 in pair are (1,340), (2,170), (4,85), (5,68), (10,34), (17,20).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 340 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 340.
• Every number is a factor of zero (0), since 340 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, 5, 10, 17, 20, 34, 68, 85, 170, 340 are exact divisors of 340.
• Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. Each factor divides 340 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340 are all less than or equal to 340.

#### Steps to find Factors of 340

• Step 1. Find all the numbers that would divide 340 without leaving any remainder. Starting with the number 1 upto 170 (half of 340). The number 1 and the number itself are always factors of the given number.
340 ÷ 1 : Remainder = 0
340 ÷ 2 : Remainder = 0
340 ÷ 4 : Remainder = 0
340 ÷ 5 : Remainder = 0
340 ÷ 10 : Remainder = 0
340 ÷ 17 : Remainder = 0
340 ÷ 20 : Remainder = 0
340 ÷ 34 : Remainder = 0
340 ÷ 68 : Remainder = 0
340 ÷ 85 : Remainder = 0
340 ÷ 170 : Remainder = 0
340 ÷ 340 : Remainder = 0

Hence, Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, and 340

• Is 340 a composite number?

Yes 340 is a composite number.

• Is 340 a prime number?

No 340 is not a prime number.

• Write five multiples of 340.

Five multiples of 340 are 680, 1020, 1360, 1700, 2040.

• Write all odd factors of 340?

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
Odd factors of 340 are 1 , 5 , 17 , 85.

• What is the mean of all prime factors of 340?

Factors of 340 are 1 , 2 , 4 , 5 , 10 , 17 , 20 , 34 , 68 , 85 , 170 , 340. Prime factors of 340 are 2 , 2 , 5 , 17. Therefore mean of prime factors of 340 is (2 + 2 + 5 + 17) / 4 = 6.50.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 340.
- Writing all prime factors of 340.
- Writing all the possible factors of 340 in pair.
Help him in writing all these.

Positive factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
Prime factors of 340 are 2, 2, 5, 17.
Factors of 340 in pair are (1,340), (2,170), (4,85), (5,68), (10,34), (17,20).

What are the pair factors of 340?

Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. Hence, the factors of 340 in pair are (1,340), (2,170), (4,85), (5,68), (10,34), (17,20).

Can you help Sammy list the factors of 340 and also find the factor pairs?

Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
Factors of 340 in pair are (1,340), (2,170), (4,85), (5,68), (10,34), (17,20).

The area of a rectangle is 340 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 340 in pair. So, the possible combinations (1,340), (2,170), (4,85), (5,68), (10,34), (17,20).

Help Diji in finding factors of 340 by Prime Factorization method and then sorting factors of 340 in pairs.

Prime factorization of 340 is 2 x 2 x 5 x 17. Factors of 340 in pair can be written as (1,340), (2,170), (4,85), (5,68), (10,34), (17,20).

Write the smallest prime factor of 340.

Smallest prime factor of 340 is 2.

Write the largest prime factor of 340.

Largest prime factor of 340 is 17.

Diji wants to write all the negative factors of 340. Can you help Diji in doing the same?

Negative factors of 340 are -1, -2, -4, -5, -10, -17, -20, -34, -68, -85, -170, -340.