# Factors of 130 in pair

Factors of 130 in pair are (1, 130) , (2, 65) , (5, 26) and (10, 13)

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

 1.   Steps to find factors of 130 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 130 in pair

Factor Pair Pair Factorization
1 and 130 1 x 130 = 130
2 and 65 2 x 65 = 130
5 and 26 5 x 26 = 130
10 and 13 10 x 13 = 130

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 130. They are called negative pair factors.

Hence, the negative pairs of 130 would be ( -1 , -130 ) .

#### 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 130 are 1 , 2 , 5 , 10 , 13 , 26 , 65 , 130. So, factors of 130 in pair are (1,130), (2,65), (5,26), (10,13).

#### 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. 130 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, 13, 26, 65, 130 are exact divisors of 130.
• 1 is a factor of every number. Eg. 1 is a factor of 130.
• Every number is a factor of zero (0), since 130 x 0 = 0.

#### Steps to find Factors of 130

• Step 1. Find all the numbers that would divide 130 without leaving any remainder. Starting with the number 1 upto 65 (half of 130). The number 1 and the number itself are always factors of the given number.
130 ÷ 1 : Remainder = 0
130 ÷ 2 : Remainder = 0
130 ÷ 5 : Remainder = 0
130 ÷ 10 : Remainder = 0
130 ÷ 13 : Remainder = 0
130 ÷ 26 : Remainder = 0
130 ÷ 65 : Remainder = 0
130 ÷ 130 : Remainder = 0

Hence, Factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130

• Is 130 a composite number?

Yes 130 is a composite number.

• Is 130 a prime number?

No 130 is not a prime number.

• Write five multiples of 130.

Five multiples of 130 are 260, 390, 520, 650, 780.

• Write all odd factors of 130?

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130.
Odd factors of 130 are 1 , 5 , 13 , 65.

• What is the mean of all prime factors of 130?

Factors of 130 are 1 , 2 , 5 , 10 , 13 , 26 , 65 , 130. Prime factors of 130 are 2 , 5 , 13. Therefore mean of prime factors of 130 is (2 + 5 + 13) / 3 = 6.67.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 130 but she is finding it difficult. Can you help her find out?

Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. So, factors of 130 in pair are (1,130), (2,65), (5,26), (10,13).

Sammy wants to write all the negative factors of 130 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 130 are -1, -2, -5, -10, -13, -26, -65, -130. Hence, factors of 130 in pair are (-1,-130), (-2,-65), (-5,-26), (-10,-13).

Help Deep in writing the positive factors of 130 in pair and negative factor of 130 in pair.

Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. Positive factors of 130 in pair are (1,130), (2,65), (5,26), (10,13). Negative factors of 130 in pair are (-1,-130), (-2,-65), (-5,-26), (-10,-13).

Find the product of all prime factors of 130.

Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. Prime factors are 2, 5, 13. So, the product of all prime factors of 130 would be 2 x 5 x 13 = 130.

Can you help Sammy list the factors of 130 and also find the factor pairs?

Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130.
Factors of 130 in pair are (1,130), (2,65), (5,26), (10,13).

Help Diji in finding factors of 130 by Prime Factorization method and then sorting factors of 130 in pairs.

Prime factorization of 130 is 2 x 5 x 13. Factors of 130 in pair can be written as (1,130), (2,65), (5,26), (10,13).

Write the smallest prime factor of 130.

Smallest prime factor of 130 is 2.

Write the largest prime factor of 130.

Largest prime factor of 130 is 13.