Factors of 3500 in pair are (1, 3500) , (2, 1750) , (4, 875) , (5, 700) , (7, 500) , (10, 350) , (14, 250) , (20, 175) , (25, 140) , (28, 125) , (35, 100) and (50, 70)

How to find factors of a number in pair

Steps to find factors of 3500 in pair

Example: Find factors of 3500 in pair

Factor Pair Pair Factorization
1 and 3500 1 x 3500 = 3500
2 and 1750 2 x 1750 = 3500
4 and 875 4 x 875 = 3500
5 and 700 5 x 700 = 3500
7 and 500 7 x 500 = 3500
10 and 350 10 x 350 = 3500
14 and 250 14 x 250 = 3500
20 and 175 20 x 175 = 3500
25 and 140 25 x 140 = 3500
28 and 125 28 x 125 = 3500
35 and 100 35 x 100 = 3500
50 and 70 50 x 70 = 3500

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 3500. They are called negative pair factors.

Hence, the negative pairs of 3500 would be ( -1 , -3500 ) .

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 3500 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 700 , 875 , 1750 , 3500. So, factors of 3500 in pair are (1,3500), (2,1750), (4,875), (5,700), (7,500), (10,350), (14,250), (20,175), (25,140), (28,125), (35,100), (50,70).

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. 3500 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 3500.
  • Every number is a factor of zero (0), since 3500 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, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500 are exact divisors of 3500.
  • Factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500. Each factor divides 3500 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500 are all less than or equal to 3500.

Steps to find Factors of 3500

  • Step 1. Find all the numbers that would divide 3500 without leaving any remainder. Starting with the number 1 upto 1750 (half of 3500). The number 1 and the number itself are always factors of the given number.
    3500 ÷ 1 : Remainder = 0
    3500 ÷ 2 : Remainder = 0
    3500 ÷ 4 : Remainder = 0
    3500 ÷ 5 : Remainder = 0
    3500 ÷ 7 : Remainder = 0
    3500 ÷ 10 : Remainder = 0
    3500 ÷ 14 : Remainder = 0
    3500 ÷ 20 : Remainder = 0
    3500 ÷ 25 : Remainder = 0
    3500 ÷ 28 : Remainder = 0
    3500 ÷ 35 : Remainder = 0
    3500 ÷ 50 : Remainder = 0
    3500 ÷ 70 : Remainder = 0
    3500 ÷ 100 : Remainder = 0
    3500 ÷ 125 : Remainder = 0
    3500 ÷ 140 : Remainder = 0
    3500 ÷ 175 : Remainder = 0
    3500 ÷ 250 : Remainder = 0
    3500 ÷ 350 : Remainder = 0
    3500 ÷ 500 : Remainder = 0
    3500 ÷ 700 : Remainder = 0
    3500 ÷ 875 : Remainder = 0
    3500 ÷ 1750 : Remainder = 0
    3500 ÷ 3500 : Remainder = 0

Hence, Factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, and 3500

Frequently Asked Questions

  • Is 3500 a composite number?

    Yes 3500 is a composite number.

  • Is 3500 a prime number?

    No 3500 is not a prime number.

  • Is 3500 a perfect square?

    No 3500 is not a perfect square.

  • Write five multiples of 3500.

    Five multiples of 3500 are 7000, 10500, 14000, 17500, 21000.

  • Write all odd factors of 3500?

    The factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500.
    Odd factors of 3500 are 1 , 5 , 7 , 25 , 35 , 125 , 175 , 875.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 3500.
- Writing all prime factors of 3500.
- Writing all the possible factors of 3500 in pair.
Help him in writing all these.

Positive factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500.
Prime factors of 3500 are 2, 2, 5, 5, 5, 7.
Factors of 3500 in pair are (1,3500), (2,1750), (4,875), (5,700), (7,500), (10,350), (14,250), (20,175), (25,140), (28,125), (35,100), (50,70).

What are the pair factors of 3500?

Factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500. Hence, the factors of 3500 in pair are (1,3500), (2,1750), (4,875), (5,700), (7,500), (10,350), (14,250), (20,175), (25,140), (28,125), (35,100), (50,70).

Can you help Sammy list the factors of 3500 and also find the factor pairs?

Factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500.
Factors of 3500 in pair are (1,3500), (2,1750), (4,875), (5,700), (7,500), (10,350), (14,250), (20,175), (25,140), (28,125), (35,100), (50,70).

The area of a rectangle is 3500 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 3500 in pair. So, the possible combinations (1,3500), (2,1750), (4,875), (5,700), (7,500), (10,350), (14,250), (20,175), (25,140), (28,125), (35,100), (50,70).

Help Diji in finding factors of 3500 by Prime Factorization method and then sorting factors of 3500 in pairs.

Prime factorization of 3500 is 2 x 2 x 5 x 5 x 5 x 7. Factors of 3500 in pair can be written as (1,3500), (2,1750), (4,875), (5,700), (7,500), (10,350), (14,250), (20,175), (25,140), (28,125), (35,100), (50,70).

Write the smallest prime factor of 3500.

Smallest prime factor of 3500 is 2.

Write the largest prime factor of 3500.

Largest prime factor of 3500 is 7.

Diji wants to write all the negative factors of 3500. Can you help Diji in doing the same?

Negative factors of 3500 are -1, -2, -4, -5, -7, -10, -14, -20, -25, -28, -35, -50, -70, -100, -125, -140, -175, -250, -350, -500, -700, -875, -1750, -3500.