# Factors of 380 in pair

Factors of 380 in pair are (1, 380) , (2, 190) , (4, 95) , (5, 76) , (10, 38) and (19, 20)

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

 1.   Steps to find factors of 380 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 380 in pair

Factor Pair Pair Factorization
1 and 380 1 x 380 = 380
2 and 190 2 x 190 = 380
4 and 95 4 x 95 = 380
5 and 76 5 x 76 = 380
10 and 38 10 x 38 = 380
19 and 20 19 x 20 = 380

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 380. They are called negative pair factors.

Hence, the negative pairs of 380 would be ( -1 , -380 ) .

#### 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 380 are 1 , 2 , 4 , 5 , 10 , 19 , 20 , 38 , 76 , 95 , 190 , 380. So, factors of 380 in pair are (1,380), (2,190), (4,95), (5,76), (10,38), (19,20).

#### 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. 380 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 380.
• Every number is a factor of zero (0), since 380 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, 19, 20, 38, 76, 95, 190, 380 are exact divisors of 380.
• Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. Each factor divides 380 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380 are all less than or equal to 380.

#### Steps to find Factors of 380

• Step 1. Find all the numbers that would divide 380 without leaving any remainder. Starting with the number 1 upto 190 (half of 380). The number 1 and the number itself are always factors of the given number.
380 ÷ 1 : Remainder = 0
380 ÷ 2 : Remainder = 0
380 ÷ 4 : Remainder = 0
380 ÷ 5 : Remainder = 0
380 ÷ 10 : Remainder = 0
380 ÷ 19 : Remainder = 0
380 ÷ 20 : Remainder = 0
380 ÷ 38 : Remainder = 0
380 ÷ 76 : Remainder = 0
380 ÷ 95 : Remainder = 0
380 ÷ 190 : Remainder = 0
380 ÷ 380 : Remainder = 0

Hence, Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380

• Is 380 a composite number?

Yes 380 is a composite number.

• Is 380 a prime number?

No 380 is not a prime number.

• Is 380 a perfect square?

No 380 is not a perfect square.

• Write five multiples of 380.

Five multiples of 380 are 760, 1140, 1520, 1900, 2280.

• Write all odd factors of 380?

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
Odd factors of 380 are 1 , 5 , 19 , 95.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 380.
- Writing all prime factors of 380.
- Writing all the possible factors of 380 in pair.
Help him in writing all these.

Positive factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
Prime factors of 380 are 2, 2, 5, 19.
Factors of 380 in pair are (1,380), (2,190), (4,95), (5,76), (10,38), (19,20).

What are the pair factors of 380?

Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. Hence, the factors of 380 in pair are (1,380), (2,190), (4,95), (5,76), (10,38), (19,20).

Can you help Sammy list the factors of 380 and also find the factor pairs?

Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
Factors of 380 in pair are (1,380), (2,190), (4,95), (5,76), (10,38), (19,20).

The area of a rectangle is 380 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 380 in pair. So, the possible combinations (1,380), (2,190), (4,95), (5,76), (10,38), (19,20).

Help Diji in finding factors of 380 by Prime Factorization method and then sorting factors of 380 in pairs.

Prime factorization of 380 is 2 x 2 x 5 x 19. Factors of 380 in pair can be written as (1,380), (2,190), (4,95), (5,76), (10,38), (19,20).

Write the smallest prime factor of 380.

Smallest prime factor of 380 is 2.

Write the largest prime factor of 380.

Largest prime factor of 380 is 19.

Diji wants to write all the negative factors of 380. Can you help Diji in doing the same?

Negative factors of 380 are -1, -2, -4, -5, -10, -19, -20, -38, -76, -95, -190, -380.