# Factors of 8164 in pair

Factors of 8164 in pair are (1, 8164) , (2, 4082) , (4, 2041) , (13, 628) , (26, 314) and (52, 157)

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

 1.   Steps to find factors of 8164 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 8164 in pair

Factor Pair Pair Factorization
1 and 8164 1 x 8164 = 8164
2 and 4082 2 x 4082 = 8164
4 and 2041 4 x 2041 = 8164
13 and 628 13 x 628 = 8164
26 and 314 26 x 314 = 8164
52 and 157 52 x 157 = 8164

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 8164. They are called negative pair factors.

Hence, the negative pairs of 8164 would be ( -1 , -8164 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 8164 are 1 , 2 , 4 , 13 , 26 , 52 , 157 , 314 , 628 , 2041 , 4082 , 8164. So, factors of 8164 in pair are (1,8164), (2,4082), (4,2041), (13,628), (26,314), (52,157).

#### How can we define factors?

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

#### Properties of Factors

• Each number is a factor of itself. Eg. 8164 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 8164.
• Every number is a factor of zero (0), since 8164 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, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164 are exact divisors of 8164.
• Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. Each factor divides 8164 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164 are all less than or equal to 8164.

#### Steps to find Factors of 8164

• Step 1. Find all the numbers that would divide 8164 without leaving any remainder. Starting with the number 1 upto 4082 (half of 8164). The number 1 and the number itself are always factors of the given number.
8164 ÷ 1 : Remainder = 0
8164 ÷ 2 : Remainder = 0
8164 ÷ 4 : Remainder = 0
8164 ÷ 13 : Remainder = 0
8164 ÷ 26 : Remainder = 0
8164 ÷ 52 : Remainder = 0
8164 ÷ 157 : Remainder = 0
8164 ÷ 314 : Remainder = 0
8164 ÷ 628 : Remainder = 0
8164 ÷ 2041 : Remainder = 0
8164 ÷ 4082 : Remainder = 0
8164 ÷ 8164 : Remainder = 0

Hence, Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, and 8164

• Is 8164 a composite number?

Yes 8164 is a composite number.

• Is 8164 a prime number?

No 8164 is not a prime number.

• Write five multiples of 8164.

Five multiples of 8164 are 16328, 24492, 32656, 40820, 48984.

• Write all odd factors of 8164?

The factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164.
Odd factors of 8164 are 1 , 13 , 157 , 2041.

• What is the mean of all prime factors of 8164?

Factors of 8164 are 1 , 2 , 4 , 13 , 26 , 52 , 157 , 314 , 628 , 2041 , 4082 , 8164. Prime factors of 8164 are 2 , 2 , 13 , 157. Therefore mean of prime factors of 8164 is (2 + 2 + 13 + 157) / 4 = 43.50.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 8164.
- Writing all prime factors of 8164.
- Writing all the possible factors of 8164 in pair.
Help him in writing all these.

Positive factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164.
Prime factors of 8164 are 2, 2, 13, 157.
Factors of 8164 in pair are (1,8164), (2,4082), (4,2041), (13,628), (26,314), (52,157).

What are the pair factors of 8164?

Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. Hence, the factors of 8164 in pair are (1,8164), (2,4082), (4,2041), (13,628), (26,314), (52,157).

Can you help Sammy list the factors of 8164 and also find the factor pairs?

Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164.
Factors of 8164 in pair are (1,8164), (2,4082), (4,2041), (13,628), (26,314), (52,157).

The area of a rectangle is 8164 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 8164 in pair. So, the possible combinations (1,8164), (2,4082), (4,2041), (13,628), (26,314), (52,157).

Help Diji in finding factors of 8164 by Prime Factorization method and then sorting factors of 8164 in pairs.

Prime factorization of 8164 is 2 x 2 x 13 x 157. Factors of 8164 in pair can be written as (1,8164), (2,4082), (4,2041), (13,628), (26,314), (52,157).

Write the smallest prime factor of 8164.

Smallest prime factor of 8164 is 2.

Write the largest prime factor of 8164.

Largest prime factor of 8164 is 157.

Diji wants to write all the negative factors of 8164. Can you help Diji in doing the same?

Negative factors of 8164 are -1, -2, -4, -13, -26, -52, -157, -314, -628, -2041, -4082, -8164.