# Factors of 1090 in pair

Factors of 1090 in pair are (1, 1090) , (2, 545) , (5, 218) and (10, 109)

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

 1.   Steps to find factors of 1090 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 1090 in pair

Factor Pair Pair Factorization
1 and 1090 1 x 1090 = 1090
2 and 545 2 x 545 = 1090
5 and 218 5 x 218 = 1090
10 and 109 10 x 109 = 1090

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 1090. They are called negative pair factors.

Hence, the negative pairs of 1090 would be ( -1 , -1090 ) .

#### 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 1090 are 1 , 2 , 5 , 10 , 109 , 218 , 545 , 1090. So, factors of 1090 in pair are (1,1090), (2,545), (5,218), (10,109).

#### 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. 1090 is a factor of itself.
• 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, 5, 10, 109, 218, 545, 1090 are exact divisors of 1090.
• 1 is a factor of every number. Eg. 1 is a factor of 1090.
• Every number is a factor of zero (0), since 1090 x 0 = 0.

#### Steps to find Factors of 1090

• Step 1. Find all the numbers that would divide 1090 without leaving any remainder. Starting with the number 1 upto 545 (half of 1090). The number 1 and the number itself are always factors of the given number.
1090 ÷ 1 : Remainder = 0
1090 ÷ 2 : Remainder = 0
1090 ÷ 5 : Remainder = 0
1090 ÷ 10 : Remainder = 0
1090 ÷ 109 : Remainder = 0
1090 ÷ 218 : Remainder = 0
1090 ÷ 545 : Remainder = 0
1090 ÷ 1090 : Remainder = 0

Hence, Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, and 1090

• Is 1090 a composite number?

Yes 1090 is a composite number.

• Is 1090 a prime number?

No 1090 is not a prime number.

• Write five multiples of 1090.

Five multiples of 1090 are 2180, 3270, 4360, 5450, 6540.

• Write all odd factors of 1090?

The factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090.
Odd factors of 1090 are 1 , 5 , 109 , 545.

• What is the mean of all prime factors of 1090?

Factors of 1090 are 1 , 2 , 5 , 10 , 109 , 218 , 545 , 1090. Prime factors of 1090 are 2 , 5 , 109. Therefore mean of prime factors of 1090 is (2 + 5 + 109) / 3 = 38.67.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 1090 but she is finding it difficult. Can you help her find out?

Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. So, factors of 1090 in pair are (1,1090), (2,545), (5,218), (10,109).

Sammy wants to write all the negative factors of 1090 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1090 are -1, -2, -5, -10, -109, -218, -545, -1090. Hence, factors of 1090 in pair are (-1,-1090), (-2,-545), (-5,-218), (-10,-109).

Help Deep in writing the positive factors of 1090 in pair and negative factor of 1090 in pair.

Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. Positive factors of 1090 in pair are (1,1090), (2,545), (5,218), (10,109). Negative factors of 1090 in pair are (-1,-1090), (-2,-545), (-5,-218), (-10,-109).

Find the product of all prime factors of 1090.

Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. Prime factors are 2, 5, 109. So, the product of all prime factors of 1090 would be 2 x 5 x 109 = 1090.

Can you help Sammy list the factors of 1090 and also find the factor pairs?

Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090.
Factors of 1090 in pair are (1,1090), (2,545), (5,218), (10,109).

Help Diji in finding factors of 1090 by Prime Factorization method and then sorting factors of 1090 in pairs.

Prime factorization of 1090 is 2 x 5 x 109. Factors of 1090 in pair can be written as (1,1090), (2,545), (5,218), (10,109).

Write the smallest prime factor of 1090.

Smallest prime factor of 1090 is 2.

Write the largest prime factor of 1090.

Largest prime factor of 1090 is 109.