Factors of 1700 in pair are (1, 1700) , (2, 850) , (4, 425) , (5, 340) , (10, 170) , (17, 100) , (20, 85) , (25, 68) and (34, 50)

How to find factors of a number in pair

Steps to find factors of 1700 in pair

Example: Find factors of 1700 in pair

Factor Pair Pair Factorization
1 and 1700 1 x 1700 = 1700
2 and 850 2 x 850 = 1700
4 and 425 4 x 425 = 1700
5 and 340 5 x 340 = 1700
10 and 170 10 x 170 = 1700
17 and 100 17 x 100 = 1700
20 and 85 20 x 85 = 1700
25 and 68 25 x 68 = 1700
34 and 50 34 x 50 = 1700

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 1700. They are called negative pair factors.

Hence, the negative pairs of 1700 would be ( -1 , -1700 ) .

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 1700 are 1 , 2 , 4 , 5 , 10 , 17 , 20 , 25 , 34 , 50 , 68 , 85 , 100 , 170 , 340 , 425 , 850 , 1700. So, factors of 1700 in pair are (1,1700), (2,850), (4,425), (5,340), (10,170), (17,100), (20,85), (25,68), (34,50).

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. 1700 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1700.
  • Every number is a factor of zero (0), since 1700 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, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700 are exact divisors of 1700.
  • Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. Each factor divides 1700 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700 are all less than or equal to 1700.

Steps to find Factors of 1700

  • Step 1. Find all the numbers that would divide 1700 without leaving any remainder. Starting with the number 1 upto 850 (half of 1700). The number 1 and the number itself are always factors of the given number.
    1700 ÷ 1 : Remainder = 0
    1700 ÷ 2 : Remainder = 0
    1700 ÷ 4 : Remainder = 0
    1700 ÷ 5 : Remainder = 0
    1700 ÷ 10 : Remainder = 0
    1700 ÷ 17 : Remainder = 0
    1700 ÷ 20 : Remainder = 0
    1700 ÷ 25 : Remainder = 0
    1700 ÷ 34 : Remainder = 0
    1700 ÷ 50 : Remainder = 0
    1700 ÷ 68 : Remainder = 0
    1700 ÷ 85 : Remainder = 0
    1700 ÷ 100 : Remainder = 0
    1700 ÷ 170 : Remainder = 0
    1700 ÷ 340 : Remainder = 0
    1700 ÷ 425 : Remainder = 0
    1700 ÷ 850 : Remainder = 0
    1700 ÷ 1700 : Remainder = 0

Hence, Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, and 1700

Frequently Asked Questions

  • Is 1700 a composite number?

    Yes 1700 is a composite number.

  • Is 1700 a prime number?

    No 1700 is not a prime number.

  • Is 1700 a perfect square?

    No 1700 is not a perfect square.

  • Write five multiples of 1700.

    Five multiples of 1700 are 3400, 5100, 6800, 8500, 10200.

  • Write all odd factors of 1700?

    The factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700.
    Odd factors of 1700 are 1 , 5 , 17 , 25 , 85 , 425.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1700.
- Writing all prime factors of 1700.
- Writing all the possible factors of 1700 in pair.
Help him in writing all these.

Positive factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700.
Prime factors of 1700 are 2, 2, 5, 5, 17.
Factors of 1700 in pair are (1,1700), (2,850), (4,425), (5,340), (10,170), (17,100), (20,85), (25,68), (34,50).

What are the pair factors of 1700?

Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. Hence, the factors of 1700 in pair are (1,1700), (2,850), (4,425), (5,340), (10,170), (17,100), (20,85), (25,68), (34,50).

Can you help Sammy list the factors of 1700 and also find the factor pairs?

Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700.
Factors of 1700 in pair are (1,1700), (2,850), (4,425), (5,340), (10,170), (17,100), (20,85), (25,68), (34,50).

The area of a rectangle is 1700 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 1700 in pair. So, the possible combinations (1,1700), (2,850), (4,425), (5,340), (10,170), (17,100), (20,85), (25,68), (34,50).

Help Diji in finding factors of 1700 by Prime Factorization method and then sorting factors of 1700 in pairs.

Prime factorization of 1700 is 2 x 2 x 5 x 5 x 17. Factors of 1700 in pair can be written as (1,1700), (2,850), (4,425), (5,340), (10,170), (17,100), (20,85), (25,68), (34,50).

Write the smallest prime factor of 1700.

Smallest prime factor of 1700 is 2.

Write the largest prime factor of 1700.

Largest prime factor of 1700 is 17.

Diji wants to write all the negative factors of 1700. Can you help Diji in doing the same?

Negative factors of 1700 are -1, -2, -4, -5, -10, -17, -20, -25, -34, -50, -68, -85, -100, -170, -340, -425, -850, -1700.