Factors of 16900 in pair are (1, 16900) , (2, 8450) , (4, 4225) , (5, 3380) , (10, 1690) , (13, 1300) , (20, 845) , (25, 676) , (26, 650) , (50, 338) , (52, 325) , (65, 260) , (100, 169) and (130, 130)

How to find factors of a number in pair

Steps to find factors of 16900 in pair

Example: Find factors of 16900 in pair

Factor Pair Pair Factorization
1 and 16900 1 x 16900 = 16900
2 and 8450 2 x 8450 = 16900
4 and 4225 4 x 4225 = 16900
5 and 3380 5 x 3380 = 16900
10 and 1690 10 x 1690 = 16900
13 and 1300 13 x 1300 = 16900
20 and 845 20 x 845 = 16900
25 and 676 25 x 676 = 16900
26 and 650 26 x 650 = 16900
50 and 338 50 x 338 = 16900
52 and 325 52 x 325 = 16900
65 and 260 65 x 260 = 16900
100 and 169 100 x 169 = 16900
130 and 130 130 x 130 = 16900

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 16900. They are called negative pair factors.

Hence, the negative pairs of 16900 would be ( -1 , -16900 ) .

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 16900 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 50 , 52 , 65 , 100 , 130 , 169 , 260 , 325 , 338 , 650 , 676 , 845 , 1300 , 1690 , 3380 , 4225 , 8450 , 16900. So, factors of 16900 in pair are (1,16900), (2,8450), (4,4225), (5,3380), (10,1690), (13,1300), (20,845), (25,676), (26,650), (50,338), (52,325), (65,260), (100,169), (130,130).

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. 16900 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 16900.
  • Every number is a factor of zero (0), since 16900 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, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450, 16900 are exact divisors of 16900.
  • Factors of 16900 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450, 16900. Each factor divides 16900 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450, 16900 are all less than or equal to 16900.

Steps to find Factors of 16900

  • Step 1. Find all the numbers that would divide 16900 without leaving any remainder. Starting with the number 1 upto 8450 (half of 16900). The number 1 and the number itself are always factors of the given number.
    16900 ÷ 1 : Remainder = 0
    16900 ÷ 2 : Remainder = 0
    16900 ÷ 4 : Remainder = 0
    16900 ÷ 5 : Remainder = 0
    16900 ÷ 10 : Remainder = 0
    16900 ÷ 13 : Remainder = 0
    16900 ÷ 20 : Remainder = 0
    16900 ÷ 25 : Remainder = 0
    16900 ÷ 26 : Remainder = 0
    16900 ÷ 50 : Remainder = 0
    16900 ÷ 52 : Remainder = 0
    16900 ÷ 65 : Remainder = 0
    16900 ÷ 100 : Remainder = 0
    16900 ÷ 130 : Remainder = 0
    16900 ÷ 169 : Remainder = 0
    16900 ÷ 260 : Remainder = 0
    16900 ÷ 325 : Remainder = 0
    16900 ÷ 338 : Remainder = 0
    16900 ÷ 650 : Remainder = 0
    16900 ÷ 676 : Remainder = 0
    16900 ÷ 845 : Remainder = 0
    16900 ÷ 1300 : Remainder = 0
    16900 ÷ 1690 : Remainder = 0
    16900 ÷ 3380 : Remainder = 0
    16900 ÷ 4225 : Remainder = 0
    16900 ÷ 8450 : Remainder = 0
    16900 ÷ 16900 : Remainder = 0

Hence, Factors of 16900 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450, and 16900

Frequently Asked Questions

  • Is 16900 a composite number?

    Yes 16900 is a composite number.

  • Is 16900 a prime number?

    No 16900 is not a prime number.

  • Write five multiples of 16900.

    Five multiples of 16900 are 33800, 50700, 67600, 84500, 101400.

  • Write all odd factors of 16900?

    The factors of 16900 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450, 16900.
    Odd factors of 16900 are 1 , 5 , 13 , 25 , 65 , 169 , 325 , 845 , 4225.

  • What is the mean of all prime factors of 16900?

    Factors of 16900 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 50 , 52 , 65 , 100 , 130 , 169 , 260 , 325 , 338 , 650 , 676 , 845 , 1300 , 1690 , 3380 , 4225 , 8450 , 16900. Prime factors of 16900 are 2 , 2 , 5 , 5 , 13 , 13. Therefore mean of prime factors of 16900 is (2 + 2 + 5 + 5 + 13 + 13) / 6 = 6.67.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 16900.
- Writing all prime factors of 16900.
- Writing all the possible factors of 16900 in pair.
Help him in writing all these.

Positive factors of 16900 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450, 16900.
Prime factors of 16900 are 2, 2, 5, 5, 13, 13.
Factors of 16900 in pair are (1,16900), (2,8450), (4,4225), (5,3380), (10,1690), (13,1300), (20,845), (25,676), (26,650), (50,338), (52,325), (65,260), (100,169), (130,130).

What are the pair factors of 16900?

Factors of 16900 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450, 16900. Hence, the factors of 16900 in pair are (1,16900), (2,8450), (4,4225), (5,3380), (10,1690), (13,1300), (20,845), (25,676), (26,650), (50,338), (52,325), (65,260), (100,169), (130,130).

Can you help Sammy list the factors of 16900 and also find the factor pairs?

Factors of 16900 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 169, 260, 325, 338, 650, 676, 845, 1300, 1690, 3380, 4225, 8450, 16900.
Factors of 16900 in pair are (1,16900), (2,8450), (4,4225), (5,3380), (10,1690), (13,1300), (20,845), (25,676), (26,650), (50,338), (52,325), (65,260), (100,169), (130,130).

The area of a rectangle is 16900 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 16900 in pair. So, the possible combinations (1,16900), (2,8450), (4,4225), (5,3380), (10,1690), (13,1300), (20,845), (25,676), (26,650), (50,338), (52,325), (65,260), (100,169), (130,130).

Help Diji in finding factors of 16900 by Prime Factorization method and then sorting factors of 16900 in pairs.

Prime factorization of 16900 is 2 x 2 x 5 x 5 x 13 x 13. Factors of 16900 in pair can be written as (1,16900), (2,8450), (4,4225), (5,3380), (10,1690), (13,1300), (20,845), (25,676), (26,650), (50,338), (52,325), (65,260), (100,169), (130,130).

Write the smallest prime factor of 16900.

Smallest prime factor of 16900 is 2.

Write the largest prime factor of 16900.

Largest prime factor of 16900 is 13.

Diji wants to write all the negative factors of 16900. Can you help Diji in doing the same?

Negative factors of 16900 are -1, -2, -4, -5, -10, -13, -20, -25, -26, -50, -52, -65, -100, -130, -169, -260, -325, -338, -650, -676, -845, -1300, -1690, -3380, -4225, -8450, -16900.