# Factors of 580 in pair

Factors of 580 in pair are (1, 580) , (2, 290) , (4, 145) , (5, 116) , (10, 58) and (20, 29)

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

 1.   Steps to find factors of 580 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 580 in pair

Factor Pair Pair Factorization
1 and 580 1 x 580 = 580
2 and 290 2 x 290 = 580
4 and 145 4 x 145 = 580
5 and 116 5 x 116 = 580
10 and 58 10 x 58 = 580
20 and 29 20 x 29 = 580

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 580. They are called negative pair factors.

Hence, the negative pairs of 580 would be ( -1 , -580 ) .

#### 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 580 are 1 , 2 , 4 , 5 , 10 , 20 , 29 , 58 , 116 , 145 , 290 , 580. So, factors of 580 in pair are (1,580), (2,290), (4,145), (5,116), (10,58), (20,29).

#### 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. 580 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 580.
• Every number is a factor of zero (0), since 580 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, 20, 29, 58, 116, 145, 290, 580 are exact divisors of 580.
• Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. Each factor divides 580 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580 are all less than or equal to 580.

#### Steps to find Factors of 580

• Step 1. Find all the numbers that would divide 580 without leaving any remainder. Starting with the number 1 upto 290 (half of 580). The number 1 and the number itself are always factors of the given number.
580 ÷ 1 : Remainder = 0
580 ÷ 2 : Remainder = 0
580 ÷ 4 : Remainder = 0
580 ÷ 5 : Remainder = 0
580 ÷ 10 : Remainder = 0
580 ÷ 20 : Remainder = 0
580 ÷ 29 : Remainder = 0
580 ÷ 58 : Remainder = 0
580 ÷ 116 : Remainder = 0
580 ÷ 145 : Remainder = 0
580 ÷ 290 : Remainder = 0
580 ÷ 580 : Remainder = 0

Hence, Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, and 580

• Is 580 a composite number?

Yes 580 is a composite number.

• Is 580 a prime number?

No 580 is not a prime number.

• Write five multiples of 580.

Five multiples of 580 are 1160, 1740, 2320, 2900, 3480.

• Write all odd factors of 580?

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
Odd factors of 580 are 1 , 5 , 29 , 145.

• What is the mean of all prime factors of 580?

Factors of 580 are 1 , 2 , 4 , 5 , 10 , 20 , 29 , 58 , 116 , 145 , 290 , 580. Prime factors of 580 are 2 , 2 , 5 , 29. Therefore mean of prime factors of 580 is (2 + 2 + 5 + 29) / 4 = 9.50.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 580.
- Writing all prime factors of 580.
- Writing all the possible factors of 580 in pair.
Help him in writing all these.

Positive factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
Prime factors of 580 are 2, 2, 5, 29.
Factors of 580 in pair are (1,580), (2,290), (4,145), (5,116), (10,58), (20,29).

What are the pair factors of 580?

Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. Hence, the factors of 580 in pair are (1,580), (2,290), (4,145), (5,116), (10,58), (20,29).

Can you help Sammy list the factors of 580 and also find the factor pairs?

Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
Factors of 580 in pair are (1,580), (2,290), (4,145), (5,116), (10,58), (20,29).

The area of a rectangle is 580 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 580 in pair. So, the possible combinations (1,580), (2,290), (4,145), (5,116), (10,58), (20,29).

Help Diji in finding factors of 580 by Prime Factorization method and then sorting factors of 580 in pairs.

Prime factorization of 580 is 2 x 2 x 5 x 29. Factors of 580 in pair can be written as (1,580), (2,290), (4,145), (5,116), (10,58), (20,29).

Write the smallest prime factor of 580.

Smallest prime factor of 580 is 2.

Write the largest prime factor of 580.

Largest prime factor of 580 is 29.

Diji wants to write all the negative factors of 580. Can you help Diji in doing the same?

Negative factors of 580 are -1, -2, -4, -5, -10, -20, -29, -58, -116, -145, -290, -580.