Factors of 5300 in pair are (1, 5300) , (2, 2650) , (4, 1325) , (5, 1060) , (10, 530) , (20, 265) , (25, 212) , (50, 106) and (53, 100)

How to find factors of a number in pair

Steps to find factors of 5300 in pair

Example: Find factors of 5300 in pair

Factor Pair Pair Factorization
1 and 5300 1 x 5300 = 5300
2 and 2650 2 x 2650 = 5300
4 and 1325 4 x 1325 = 5300
5 and 1060 5 x 1060 = 5300
10 and 530 10 x 530 = 5300
20 and 265 20 x 265 = 5300
25 and 212 25 x 212 = 5300
50 and 106 50 x 106 = 5300
53 and 100 53 x 100 = 5300

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 5300. They are called negative pair factors.

Hence, the negative pairs of 5300 would be ( -1 , -5300 ) .

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 5300 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 53 , 100 , 106 , 212 , 265 , 530 , 1060 , 1325 , 2650 , 5300. So, factors of 5300 in pair are (1,5300), (2,2650), (4,1325), (5,1060), (10,530), (20,265), (25,212), (50,106), (53,100).

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. 5300 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5300.
  • Every number is a factor of zero (0), since 5300 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, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300 are exact divisors of 5300.
  • Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300. Each factor divides 5300 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300 are all less than or equal to 5300.

Steps to find Factors of 5300

  • Step 1. Find all the numbers that would divide 5300 without leaving any remainder. Starting with the number 1 upto 2650 (half of 5300). The number 1 and the number itself are always factors of the given number.
    5300 ÷ 1 : Remainder = 0
    5300 ÷ 2 : Remainder = 0
    5300 ÷ 4 : Remainder = 0
    5300 ÷ 5 : Remainder = 0
    5300 ÷ 10 : Remainder = 0
    5300 ÷ 20 : Remainder = 0
    5300 ÷ 25 : Remainder = 0
    5300 ÷ 50 : Remainder = 0
    5300 ÷ 53 : Remainder = 0
    5300 ÷ 100 : Remainder = 0
    5300 ÷ 106 : Remainder = 0
    5300 ÷ 212 : Remainder = 0
    5300 ÷ 265 : Remainder = 0
    5300 ÷ 530 : Remainder = 0
    5300 ÷ 1060 : Remainder = 0
    5300 ÷ 1325 : Remainder = 0
    5300 ÷ 2650 : Remainder = 0
    5300 ÷ 5300 : Remainder = 0

Hence, Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, and 5300

Frequently Asked Questions

  • Is 5300 a composite number?

    Yes 5300 is a composite number.

  • Is 5300 a prime number?

    No 5300 is not a prime number.

  • Is 5300 a perfect square?

    No 5300 is not a perfect square.

  • Write five multiples of 5300.

    Five multiples of 5300 are 10600, 15900, 21200, 26500, 31800.

  • Write all odd factors of 5300?

    The factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300.
    Odd factors of 5300 are 1 , 5 , 25 , 53 , 265 , 1325.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 5300.
- Writing all prime factors of 5300.
- Writing all the possible factors of 5300 in pair.
Help him in writing all these.

Positive factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300.
Prime factors of 5300 are 2, 2, 5, 5, 53.
Factors of 5300 in pair are (1,5300), (2,2650), (4,1325), (5,1060), (10,530), (20,265), (25,212), (50,106), (53,100).

What are the pair factors of 5300?

Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300. Hence, the factors of 5300 in pair are (1,5300), (2,2650), (4,1325), (5,1060), (10,530), (20,265), (25,212), (50,106), (53,100).

Can you help Sammy list the factors of 5300 and also find the factor pairs?

Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300.
Factors of 5300 in pair are (1,5300), (2,2650), (4,1325), (5,1060), (10,530), (20,265), (25,212), (50,106), (53,100).

The area of a rectangle is 5300 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 5300 in pair. So, the possible combinations (1,5300), (2,2650), (4,1325), (5,1060), (10,530), (20,265), (25,212), (50,106), (53,100).

Help Diji in finding factors of 5300 by Prime Factorization method and then sorting factors of 5300 in pairs.

Prime factorization of 5300 is 2 x 2 x 5 x 5 x 53. Factors of 5300 in pair can be written as (1,5300), (2,2650), (4,1325), (5,1060), (10,530), (20,265), (25,212), (50,106), (53,100).

Write the smallest prime factor of 5300.

Smallest prime factor of 5300 is 2.

Write the largest prime factor of 5300.

Largest prime factor of 5300 is 53.

Diji wants to write all the negative factors of 5300. Can you help Diji in doing the same?

Negative factors of 5300 are -1, -2, -4, -5, -10, -20, -25, -50, -53, -100, -106, -212, -265, -530, -1060, -1325, -2650, -5300.